Public Key Cryptography and Digital Signatures. Curt Jones CDA 5505 April 12, 2005
|
|
- Alexandrina Burns
- 7 years ago
- Views:
Transcription
1 Public Key Cryptography and Digital Signatures Curt Jones CDA 5505 April 12, 2005
2 Public Key Cryptography - What is public key cryptography? Public key cryptography is a form of cryptography which allows secure communications between users without the need for a previously agreed upon secret encryption/decryption key. It is also known as asymmetric key cryptography.
3 Public Key Cryptography - Why do we need it? One difficulty in using symmetric key cryptography is key exchange. Public key cryptography allows a user to create a public key/private key pair that can be used to securely communicate with other users without the need for a previously agreed upon key. The public key is published so that any user can use it to encrypt a message. This message can only be decrypted using the matching private key, which is not shared with any other user.
4 Public Key Cryptography - How it works A public key cryptographic system must meet three requirements: 1. D(E(P)) = P. The decryption algorithm, D, applied to the encrypted plaintext, E(P), returns the unencrypted plaintext, P. If this property did not hold, the recipient could not decrypt the cyphertext they received.
5 Public Key Cryptography - How it works 2. Determining D from E is extremely difficult. D and E must be related, since D reverses the actions of E. Because E is known to the public it must be virtually impossible to determine D given E. Public key algorithms rely on various difficult mathematical problems, such as factorization of large numbers, to insure that this is as hard as possible.
6 Public Key Cryptography - How it works 3. E cannot be broken by a chosen plaintext attack. Since the encryption key is known to the public, an attacker can encrypt any, and as many, plaintext messages as they like. The output from the encryption algorithm must be sufficiently random that knowledge of a given encrypted message does not reveal information about any other encrypted messages.
7 Public Key Cryptography - Some Public Key Algorithms Diffie-Hellman 1976 RSA Merkle-Hellman El Gamal Elliptic curve Paillier cryptosystem
8 Public Key Cryptography - RSA Key Generation 1. Choose two large prime numbers, p and q. 2. Compute N, where n = p * q. 3. Compute z, where z = (p-1) * (q-1). 4. Choose a number d, such that d is co-prime to z. 5. Find e such that e * d = 1 (mod z). Publish N (the modulus) and e (the public exponent) as the public key. Retain N (the modulus) and d (the private exponent) as the private key.
9 Public Key Cryptography - RSA - use To encrypt and send a plaintext message, the message is converted to a number n by a predetermined padding scheme. The number n is then encrypted by computing c = n e (mod N). The cyphertext value c is then sent to the holder of the private key. To decrypt the message, the private key holder computes n = c d (mod N). The plaintext message can be recovered by running n through the inverse of the original padding function.
10 Public Key Cryptography - Problems Authentication In symmetric key encryption, the ability to properly encrypt a message strongly implies that the sender is who they claim to be, since only they (and the recipient) should be in possession of the key. In public key encryption, the encryption key is not secret, so the ability to encrypt a message provides no information about the identity of the sender. The use of a public key infrastructure can help insure that all parties involved in communications are who they claim to be.
11 Public Key Cryptography - Problems Computational Complexity Public key algorithms rely on difficult to solve mathematical problems for their security. Because of this, they require more computing power, and thus more time, to encrypt and decrypt messages than symmetric key algorithms.
12 Public Key Cryptography - Uses Though Public key algorithms can be used for secure communication, due to their much higher computational overhead than symmetric key algorithms they are, in practice, generally used to communicate a key which is then used by a symmetric key communication system. Public key encryption is also used in the creation of digital signatures.
13 Digital Signatures - What is a digital signature? A digital signature is the electronic equivalent of a physical signature. It is used to authenticate the identity of the signer. It has the additional advantage of being able to verify that the signed message is unchanged since the time it was signed.
14 Digital Signatures - Requirements of a digital signature To be useful, a digital signature must meet three conditions: 1. The receiver can verify the identity of the sender. 2. The sender cannot repudiate the contents of the message. 3. The receiver cannot create or alter a signed message.
15 Digital Signatures - Types of Digital Signatures Symmetric Key Public Key/Asymmetric Key Message Digests/Hash Functions
16 Digital Signatures - Symmetric Key Signatures Using symmetric key cryptography for digital signatures requires a trusted Central Authority(CA). Each user shares a unique secret key with CA. To digitally sign a message Alice encrypts the message and the identity of the intended recipient (Bob) and sends it to CA. CA decrypts the message using Alice's key to verify authenticity. Continued>
17 Digital Signatures - Symmetric Key Signatures Once Alice's message is verified, CA encrypts it and the identity of the sender with its own secret key (not known to Alice or Bob). This encrypted message and the plaintext of the original message are then encrypted with Bob's key and forwarded to Bob. Bob can then decrypt this message, read the plaintext, and keep the message encrypted with the CA's key. Should a dispute arise, the CA can decrypt this saved message and verify its authenticity.
18 Digital Signatures - Symmetric Key Signatures - Problems The main drawback of symmetric key signatures is the need for a trusted central authority to maintain the keys for each user. Since the CA has everyone's key, and all messages must pass through them if they are to be signed, the CA has access to everyones information. In practice there is no group that inspires this level of trust among the entire population.
19 Digital Signatures - Public Key/asymmetric Key A public key algorithm, such as RSA, with the property that E(D(P)) = P (in addition to the required D(E(P)) = P) can be used to digitally sign a message. If Alice creates a message E B (D A (P)) and sends it to Bob, Bob can then apply D B to recover D A (P), which could only have been generated by Alice, since only she know her private key. Bob can now apply E A to recover the plaintext message.
20 Digital Signatures - Public Key/asymmetric Key - Problems If someones private key is compromised, there is no longer any assurance that they created the original message. If someone changes their key, the new encryption key will no longer decrypt an old signed message, making it appear that a validly signed message is fake.
21 Digital Signatures - Hash Functions and Message Digests A cryptographic hash function has the following properties: Takes an arbitrary length input. Returns a fixed length output. Is a one way function. Is collision free. The output is called a Message Digest.
22 Digital Signatures - Hash Functions and Message Digests A message digest can be used without further processing as a digital fingerprint to verify the integrity of a message or file. A message digest can also be digitally signed and transmitted along with the input it was created from. This allows the recipient to verify both the integrity and authenticity of the message. This method does not encrypt the message itself.
23 Public Key Cryptography and Digital Signatures Questions?
24 References Computer Networks, 4 th edition, Andrew S. Tanenbaum (2003), Prentice Hall PTR. Practical Cryptography, Niels Ferguson and Bruce Schneier (2003), Wiley Publishing, Inc. A Method for Obtaining Digital Signatures and Public-Key Cryptosystems, R. Rivest, A. Shamir, L. Adleman, Communications of the ACM, Vol. 21 (2), 1978, pages
Network Security. Computer Networking Lecture 08. March 19, 2012. HKU SPACE Community College. HKU SPACE CC CN Lecture 08 1/23
Network Security Computer Networking Lecture 08 HKU SPACE Community College March 19, 2012 HKU SPACE CC CN Lecture 08 1/23 Outline Introduction Cryptography Algorithms Secret Key Algorithm Message Digest
More informationLukasz Pater CMMS Administrator and Developer
Lukasz Pater CMMS Administrator and Developer EDMS 1373428 Agenda Introduction Why do we need asymmetric ciphers? One-way functions RSA Cipher Message Integrity Examples Secure Socket Layer Single Sign
More informationCIS 6930 Emerging Topics in Network Security. Topic 2. Network Security Primitives
CIS 6930 Emerging Topics in Network Security Topic 2. Network Security Primitives 1 Outline Absolute basics Encryption/Decryption; Digital signatures; D-H key exchange; Hash functions; Application of hash
More informationNetwork Security. Gaurav Naik Gus Anderson. College of Engineering. Drexel University, Philadelphia, PA. Drexel University. College of Engineering
Network Security Gaurav Naik Gus Anderson, Philadelphia, PA Lectures on Network Security Feb 12 (Today!): Public Key Crypto, Hash Functions, Digital Signatures, and the Public Key Infrastructure Feb 14:
More informationComputer Security: Principles and Practice
Computer Security: Principles and Practice Chapter 20 Public-Key Cryptography and Message Authentication First Edition by William Stallings and Lawrie Brown Lecture slides by Lawrie Brown Public-Key Cryptography
More informationDigital Signatures. Meka N.L.Sneha. Indiana State University. nmeka@sycamores.indstate.edu. October 2015
Digital Signatures Meka N.L.Sneha Indiana State University nmeka@sycamores.indstate.edu October 2015 1 Introduction Digital Signatures are the most trusted way to get documents signed online. A digital
More informationCRYPTOGRAPHY IN NETWORK SECURITY
ELE548 Research Essays CRYPTOGRAPHY IN NETWORK SECURITY AUTHOR: SHENGLI LI INSTRUCTOR: DR. JIEN-CHUNG LO Date: March 5, 1999 Computer network brings lots of great benefits and convenience to us. We can
More informationNetwork Security. Abusayeed Saifullah. CS 5600 Computer Networks. These slides are adapted from Kurose and Ross 8-1
Network Security Abusayeed Saifullah CS 5600 Computer Networks These slides are adapted from Kurose and Ross 8-1 Public Key Cryptography symmetric key crypto v requires sender, receiver know shared secret
More informationPublic Key (asymmetric) Cryptography
Public-Key Cryptography UNIVERSITA DEGLI STUDI DI PARMA Dipartimento di Ingegneria dell Informazione Public Key (asymmetric) Cryptography Luca Veltri (mail.to: luca.veltri@unipr.it) Course of Network Security,
More informationThe Mathematics of the RSA Public-Key Cryptosystem
The Mathematics of the RSA Public-Key Cryptosystem Burt Kaliski RSA Laboratories ABOUT THE AUTHOR: Dr Burt Kaliski is a computer scientist whose involvement with the security industry has been through
More informationComputer Networks 1 (Mạng Máy Tính 1) Lectured by: Dr. Phạm Trần Vũ MEng. Nguyễn CaoĐạt
Computer Networks 1 (Mạng Máy Tính 1) Lectured by: Dr. Phạm Trần Vũ MEng. Nguyễn CaoĐạt 1 Lecture 11: Network Security Reference: Chapter 8 - Computer Networks, Andrew S. Tanenbaum, 4th Edition, Prentice
More informationNetwork Security (2) CPSC 441 Department of Computer Science University of Calgary
Network Security (2) CPSC 441 Department of Computer Science University of Calgary 1 Friends and enemies: Alice, Bob, Trudy well-known in network security world Bob, Alice (lovers!) want to communicate
More informationLecture 9: Application of Cryptography
Lecture topics Cryptography basics Using SSL to secure communication links in J2EE programs Programmatic use of cryptography in Java Cryptography basics Encryption Transformation of data into a form that
More informationNetwork Security. Chapter 2 Basics 2.2 Public Key Cryptography. Public Key Cryptography. Public Key Cryptography
Chair for Network Architectures and Services Department of Informatics TU München Prof. Carle Encryption/Decryption using Public Key Cryptography Network Security Chapter 2 Basics 2.2 Public Key Cryptography
More informationNetwork Security. Security Attacks. Normal flow: Interruption: 孫 宏 民 hmsun@cs.nthu.edu.tw Phone: 03-5742968 國 立 清 華 大 學 資 訊 工 程 系 資 訊 安 全 實 驗 室
Network Security 孫 宏 民 hmsun@cs.nthu.edu.tw Phone: 03-5742968 國 立 清 華 大 學 資 訊 工 程 系 資 訊 安 全 實 驗 室 Security Attacks Normal flow: sender receiver Interruption: Information source Information destination
More informationIntroduction to Computer Security
Introduction to Computer Security Hash Functions and Digital Signatures Pavel Laskov Wilhelm Schickard Institute for Computer Science Integrity objective in a wide sense Reliability Transmission errors
More informationSecure Network Communication Part II II Public Key Cryptography. Public Key Cryptography
Kommunikationssysteme (KSy) - Block 8 Secure Network Communication Part II II Public Key Cryptography Dr. Andreas Steffen 2000-2001 A. Steffen, 28.03.2001, KSy_RSA.ppt 1 Secure Key Distribution Problem
More informationChapter 7: Network security
Chapter 7: Network security Foundations: what is security? cryptography authentication message integrity key distribution and certification Security in practice: application layer: secure e-mail transport
More informationNetwork Security. HIT Shimrit Tzur-David
Network Security HIT Shimrit Tzur-David 1 Goals: 2 Network Security Understand principles of network security: cryptography and its many uses beyond confidentiality authentication message integrity key
More informationNotes on Network Security Prof. Hemant K. Soni
Chapter 9 Public Key Cryptography and RSA Private-Key Cryptography traditional private/secret/single key cryptography uses one key shared by both sender and receiver if this key is disclosed communications
More informationDigital Signature For Text File
Digital Signature For Text File Ayad Ibrahim Abdulsada Dept. of Computer Science, College of Education, University of Basrah, Basrah, Iraq. E-mail: mraiadibraheem@yahoo.com Abstract: Digital signatures
More information7! Cryptographic Techniques! A Brief Introduction
7! Cryptographic Techniques! A Brief Introduction 7.1! Introduction to Cryptography! 7.2! Symmetric Encryption! 7.3! Asymmetric (Public-Key) Encryption! 7.4! Digital Signatures! 7.5! Public Key Infrastructures
More informationCSCE 465 Computer & Network Security
CSCE 465 Computer & Network Security Instructor: Dr. Guofei Gu http://courses.cse.tamu.edu/guofei/csce465/ Public Key Cryptogrophy 1 Roadmap Introduction RSA Diffie-Hellman Key Exchange Public key and
More informationLecture 6 - Cryptography
Lecture 6 - Cryptography CSE497b - Spring 2007 Introduction Computer and Network Security Professor Jaeger www.cse.psu.edu/~tjaeger/cse497b-s07 Question 2 Setup: Assume you and I don t know anything about
More informationImplementation and Comparison of Various Digital Signature Algorithms. -Nazia Sarang Boise State University
Implementation and Comparison of Various Digital Signature Algorithms -Nazia Sarang Boise State University What is a Digital Signature? A digital signature is used as a tool to authenticate the information
More informationCryptography & Digital Signatures
Cryptography & Digital Signatures CS 594 Special Topics/Kent Law School: Computer and Network Privacy and Security: Ethical, Legal, and Technical Consideration Prof. Sloan s Slides, 2007, 2008 Robert H.
More informationA Factoring and Discrete Logarithm based Cryptosystem
Int. J. Contemp. Math. Sciences, Vol. 8, 2013, no. 11, 511-517 HIKARI Ltd, www.m-hikari.com A Factoring and Discrete Logarithm based Cryptosystem Abdoul Aziz Ciss and Ahmed Youssef Ecole doctorale de Mathematiques
More informationCryptography and Network Security Chapter 9
Cryptography and Network Security Chapter 9 Fifth Edition by William Stallings Lecture slides by Lawrie Brown (with edits by RHB) Chapter 9 Public Key Cryptography and RSA Every Egyptian received two names,
More informationSecurity. Contents. S-72.3240 Wireless Personal, Local, Metropolitan, and Wide Area Networks 1
Contents Security requirements Public key cryptography Key agreement/transport schemes Man-in-the-middle attack vulnerability Encryption. digital signature, hash, certification Complete security solutions
More informationPublic Key Cryptography of Digital Signatures
ACTA UNIVERSITATIS APULENSIS No 13/2007 MATHEMATICAL FOUNDATION OF DIGITAL SIGNATURES Daniela Bojan and Sidonia Vultur Abstract.The new services available on the Internet have born the necessity of a permanent
More information159.334 Computer Networks. Network Security 1. Professor Richard Harris School of Engineering and Advanced Technology
Network Security 1 Professor Richard Harris School of Engineering and Advanced Technology Presentation Outline Overview of Identification and Authentication The importance of identification and Authentication
More informationSymmetric Key cryptosystem
SFWR C03: Computer Networks and Computer Security Mar 8-11 200 Lecturer: Kartik Krishnan Lectures 22-2 Symmetric Key cryptosystem Symmetric encryption, also referred to as conventional encryption or single
More informationChapter 11 Security+ Guide to Network Security Fundamentals, Third Edition Basic Cryptography
Chapter 11 Security+ Guide to Network Security Fundamentals, Third Edition Basic Cryptography What Is Steganography? Steganography Process of hiding the existence of the data within another file Example:
More information1720 - Forward Secrecy: How to Secure SSL from Attacks by Government Agencies
1720 - Forward Secrecy: How to Secure SSL from Attacks by Government Agencies Dave Corbett Technical Product Manager Implementing Forward Secrecy 1 Agenda Part 1: Introduction Why is Forward Secrecy important?
More informationSECURITY IN NETWORKS
SECURITY IN NETWORKS GOALS Understand principles of network security: Cryptography and its many uses beyond confidentiality Authentication Message integrity Security in practice: Security in application,
More informationCryptosystems. Bob wants to send a message M to Alice. Symmetric ciphers: Bob and Alice both share a secret key, K.
Cryptosystems Bob wants to send a message M to Alice. Symmetric ciphers: Bob and Alice both share a secret key, K. C= E(M, K), Bob sends C Alice receives C, M=D(C,K) Use the same key to decrypt. Public
More informationPrinciples of Public Key Cryptography. Applications of Public Key Cryptography. Security in Public Key Algorithms
Principles of Public Key Cryptography Chapter : Security Techniques Background Secret Key Cryptography Public Key Cryptography Hash Functions Authentication Chapter : Security on Network and Transport
More informationHow encryption works to provide confidentiality. How hashing works to provide integrity. How digital signatures work to provide authenticity and
How encryption works to provide confidentiality. How hashing works to provide integrity. How digital signatures work to provide authenticity and non-repudiation. How to obtain a digital certificate. Installing
More informationPublic Key Cryptography. c Eli Biham - March 30, 2011 258 Public Key Cryptography
Public Key Cryptography c Eli Biham - March 30, 2011 258 Public Key Cryptography Key Exchange All the ciphers mentioned previously require keys known a-priori to all the users, before they can encrypt
More informationThe application of prime numbers to RSA encryption
The application of prime numbers to RSA encryption Prime number definition: Let us begin with the definition of a prime number p The number p, which is a member of the set of natural numbers N, is considered
More informationPublic Key Cryptography Overview
Ch.20 Public-Key Cryptography and Message Authentication I will talk about it later in this class Final: Wen (5/13) 1630-1830 HOLM 248» give you a sample exam» Mostly similar to homeworks» no electronic
More informationFinal Exam. IT 4823 Information Security Administration. Rescheduling Final Exams. Kerberos. Idea. Ticket
IT 4823 Information Security Administration Public Key Encryption Revisited April 5 Notice: This session is being recorded. Lecture slides prepared by Dr Lawrie Brown for Computer Security: Principles
More informationA SOFTWARE COMPARISON OF RSA AND ECC
International Journal Of Computer Science And Applications Vol. 2, No. 1, April / May 29 ISSN: 974-13 A SOFTWARE COMPARISON OF RSA AND ECC Vivek B. Kute Lecturer. CSE Department, SVPCET, Nagpur 9975549138
More informationOverview of Public-Key Cryptography
CS 361S Overview of Public-Key Cryptography Vitaly Shmatikov slide 1 Reading Assignment Kaufman 6.1-6 slide 2 Public-Key Cryptography public key public key? private key Alice Bob Given: Everybody knows
More informationAN IMPLEMENTATION OF HYBRID ENCRYPTION-DECRYPTION (RSA WITH AES AND SHA256) FOR USE IN DATA EXCHANGE BETWEEN CLIENT APPLICATIONS AND WEB SERVICES
HYBRID RSA-AES ENCRYPTION FOR WEB SERVICES AN IMPLEMENTATION OF HYBRID ENCRYPTION-DECRYPTION (RSA WITH AES AND SHA256) FOR USE IN DATA EXCHANGE BETWEEN CLIENT APPLICATIONS AND WEB SERVICES Kalyani Ganesh
More informationSECURITY IMPROVMENTS TO THE DIFFIE-HELLMAN SCHEMES
www.arpapress.com/volumes/vol8issue1/ijrras_8_1_10.pdf SECURITY IMPROVMENTS TO THE DIFFIE-HELLMAN SCHEMES Malek Jakob Kakish Amman Arab University, Department of Computer Information Systems, P.O.Box 2234,
More informationCryptography and Network Security
Cryptography and Network Security Fifth Edition by William Stallings Chapter 9 Public Key Cryptography and RSA Private-Key Cryptography traditional private/secret/single key cryptography uses one key shared
More informationAn Introduction to Cryptography as Applied to the Smart Grid
An Introduction to Cryptography as Applied to the Smart Grid Jacques Benoit, Cooper Power Systems Western Power Delivery Automation Conference Spokane, Washington March 2011 Agenda > Introduction > Symmetric
More informationOverview of Cryptographic Tools for Data Security. Murat Kantarcioglu
UT DALLAS Erik Jonsson School of Engineering & Computer Science Overview of Cryptographic Tools for Data Security Murat Kantarcioglu Pag. 1 Purdue University Cryptographic Primitives We will discuss the
More informationApplication of Digital Signature for Securing Communication Using RSA Scheme based on MD5
Application of Digital Signature for Securing Communication Using RSA Scheme based on MD5 Fashoto S.G, Gbadeyan J.A and Okeyinka E.A Redeemer s University, Redemption camp Mowe, Ogun State gbengafash@yahoo.com
More informationIT Networks & Security CERT Luncheon Series: Cryptography
IT Networks & Security CERT Luncheon Series: Cryptography Presented by Addam Schroll, IT Security & Privacy Analyst 1 Outline History Terms & Definitions Symmetric and Asymmetric Algorithms Hashing PKI
More informationCSCI-E46: Applied Network Security. Class 1: Introduction Cryptography Primer 1/26/16 CSCI-E46: APPLIED NETWORK SECURITY, SPRING 2016 1
CSCI-E46: Applied Network Security Class 1: Introduction Cryptography Primer 1/26/16 CSCI-E46: APPLIED NETWORK SECURITY, SPRING 2016 1 Welcome to CSCI-E46 Classroom & Schedule 53 Church Street L01 Wednesdays,
More informationSoftware Tool for Implementing RSA Algorithm
Software Tool for Implementing RSA Algorithm Adriana Borodzhieva, Plamen Manoilov Rousse University Angel Kanchev, Rousse, Bulgaria Abstract: RSA is one of the most-common used algorithms for public-key
More informationEntrust Managed Services PKI. Getting started with digital certificates and Entrust Managed Services PKI. Document issue: 1.0
Entrust Managed Services PKI Getting started with digital certificates and Entrust Managed Services PKI Document issue: 1.0 Date of issue: May 2009 Copyright 2009 Entrust. All rights reserved. Entrust
More informationAn Introduction to Cryptography and Digital Signatures
An Introduction to Cryptography and Digital Signatures Author: Ian Curry March 2001 Version 2.0 Copyright 2001-2003 Entrust. All rights reserved. Cryptography The concept of securing messages through
More informationMathematical Model Based Total Security System with Qualitative and Quantitative Data of Human
Int Jr of Mathematics Sciences & Applications Vol3, No1, January-June 2013 Copyright Mind Reader Publications ISSN No: 2230-9888 wwwjournalshubcom Mathematical Model Based Total Security System with Qualitative
More informationDr. Jinyuan (Stella) Sun Dept. of Electrical Engineering and Computer Science University of Tennessee Fall 2010
CS 494/594 Computer and Network Security Dr. Jinyuan (Stella) Sun Dept. of Electrical Engineering and Computer Science University of Tennessee Fall 2010 1 Introduction to Cryptography What is cryptography?
More informationPublic Key Cryptography and RSA. Review: Number Theory Basics
Public Key Cryptography and RSA Murat Kantarcioglu Based on Prof. Ninghui Li s Slides Review: Number Theory Basics Definition An integer n > 1 is called a prime number if its positive divisors are 1 and
More informationSymmetric Mechanisms for Authentication in IDRP
WG1/SG2 WP WG2/WP 488 International Civil Aviation Organization Aeronautical Telecommunication Network Panel (ATNP) WG2 and WG1/SG2 Meetings Honolulu, Hawaii, USA January 1999 Symmetric Mechanisms for
More informationCS 348: Computer Networks. - Security; 30 th - 31 st Oct 2012. Instructor: Sridhar Iyer IIT Bombay
CS 348: Computer Networks - Security; 30 th - 31 st Oct 2012 Instructor: Sridhar Iyer IIT Bombay Network security Security Plan (RFC 2196) Identify assets Determine threats Perform risk analysis Implement
More informationModule 7 Security CS655! 7-1!
Module 7 Security CS655! 7-1! Issues Separation of! Security policies! Precise definition of which entities in the system can take what actions! Security mechanism! Means of enforcing that policy! Distributed
More informationOutline. Computer Science 418. Digital Signatures: Observations. Digital Signatures: Definition. Definition 1 (Digital signature) Digital Signatures
Outline Computer Science 418 Digital Signatures Mike Jacobson Department of Computer Science University of Calgary Week 12 1 Digital Signatures 2 Signatures via Public Key Cryptosystems 3 Provable 4 Mike
More informationApplied Cryptography Public Key Algorithms
Applied Cryptography Public Key Algorithms Sape J. Mullender Huygens Systems Research Laboratory Universiteit Twente Enschede 1 Public Key Cryptography Independently invented by Whitfield Diffie & Martin
More informationNetwork Security [2] Plain text Encryption algorithm Public and private key pair Cipher text Decryption algorithm. See next slide
Network Security [2] Public Key Encryption Also used in message authentication & key distribution Based on mathematical algorithms, not only on operations over bit patterns (as conventional) => much overhead
More informationOverview of CSS SSL. SSL Cryptography Overview CHAPTER
CHAPTER 1 Secure Sockets Layer (SSL) is an application-level protocol that provides encryption technology for the Internet, ensuring secure transactions such as the transmission of credit card numbers
More informationApplication Layer (1)
Application Layer (1) Functionality: providing applications (e-mail, www, USENET etc) providing support protocols to allow the real applications to function properly security comprising a large number
More informationSFWR ENG 4C03 - Computer Networks & Computer Security
KEY MANAGEMENT SFWR ENG 4C03 - Computer Networks & Computer Security Researcher: Jayesh Patel Student No. 9909040 Revised: April 4, 2005 Introduction Key management deals with the secure generation, distribution,
More informationHow To Secure A Computer System From A Hacker
Lecture 10 Security (Part 2) Outline Securing computer systems Cryptography Virtual Private Networks (VPN) Access controls Mandatory access control Discretionary access control Role based
More informationPublic Key Cryptography: RSA and Lots of Number Theory
Public Key Cryptography: RSA and Lots of Number Theory Public vs. Private-Key Cryptography We have just discussed traditional symmetric cryptography: Uses a single key shared between sender and receiver
More informationCS 758: Cryptography / Network Security
CS 758: Cryptography / Network Security offered in the Fall Semester, 2003, by Doug Stinson my office: DC 3122 my email address: dstinson@uwaterloo.ca my web page: http://cacr.math.uwaterloo.ca/~dstinson/index.html
More informationSignature Schemes. CSG 252 Fall 2006. Riccardo Pucella
Signature Schemes CSG 252 Fall 2006 Riccardo Pucella Signatures Signatures in real life have a number of properties They specify the person responsible for a document E.g. that it has been produced by
More informationExpert Reference Series of White Papers. Fundamentals of the PKI Infrastructure
Expert Reference Series of White Papers Fundamentals of the PKI Infrastructure 1-800-COURSES www.globalknowledge.com Fundamentals of the PKI Infrastructure Boris Gigovic, Global Knowledge Instructor, CEI,
More informationCapture Resilient ElGamal Signature Protocols
Capture Resilient ElGamal Signature Protocols Hüseyin Acan 1, Kamer Kaya 2,, and Ali Aydın Selçuk 2 1 Bilkent University, Department of Mathematics acan@fen.bilkent.edu.tr 2 Bilkent University, Department
More informationA New Efficient Digital Signature Scheme Algorithm based on Block cipher
IOSR Journal of Computer Engineering (IOSRJCE) ISSN: 2278-0661, ISBN: 2278-8727Volume 7, Issue 1 (Nov. - Dec. 2012), PP 47-52 A New Efficient Digital Signature Scheme Algorithm based on Block cipher 1
More informationCertificate Authorities and Public Keys. How they work and 10+ ways to hack them.
Certificate Authorities and Public Keys How they work and 10+ ways to hack them. -- FoxGuard Solutions Www.FoxGuardSolutions.com melkins@foxguardsolutions.com Version.05 9/2012 1 Certificate Use Overview
More informationEncryption, Data Integrity, Digital Certificates, and SSL. Developed by. Jerry Scott. SSL Primer-1-1
Encryption, Data Integrity, Digital Certificates, and SSL Developed by Jerry Scott 2002 SSL Primer-1-1 Ideas Behind Encryption When information is transmitted across intranets or the Internet, others can
More informationWhat is network security?
Network security Network Security Srinidhi Varadarajan Foundations: what is security? cryptography authentication message integrity key distribution and certification Security in practice: application
More informationSECURE E-MAIL APPLICATION SOFTWARE FOR GOVERNMENT IN INDONESIA
++ I&S SECURE E-MAIL APPLICATION SOFTWARE FOR GOVERNMENT IN INDONESIA Kridanto SURENDRO and Setiyo CAHYONO Abstract: Exchanging information using e-mail brings a good deal of vulnerability that can be
More informationCS 393 Network Security. Nasir Memon Polytechnic University Module 11 Secure Email
CS 393 Network Security Nasir Memon Polytechnic University Module 11 Secure Email Course Logistics HW 5 due Thursday Graded exams returned and discussed. Read Chapter 5 of text 4/2/02 Module 11 - Secure
More informationA ROLE OF DIGITAL SIGNATURE TECHNOLOGY USING RSA ALGORITHM
Proceeding of NCRIET-2015 & Indian J.Sci.Res. 12(1):482-487, 2015 ISSN: 0976-2876 (Print) ISSN: 2250-0138 (Online) A ROLE OF DIGITAL SIGNATURE TECHNOLOGY USING RSA ALGORITHM BHAGYASHREE a1, ARPITA b, CHANDANA
More informationLecture Note 5 PUBLIC-KEY CRYPTOGRAPHY. Sourav Mukhopadhyay
Lecture Note 5 PUBLIC-KEY CRYPTOGRAPHY Sourav Mukhopadhyay Cryptography and Network Security - MA61027 Modern/Public-key cryptography started in 1976 with the publication of the following paper. W. Diffie
More informationModeling and verification of security protocols
Modeling and verification of security protocols Part I: Basics of cryptography and introduction to security protocols Dresden University of Technology Martin Pitt martin@piware.de Paper and slides available
More informationCryptographic Services Guide
Cryptographic Services Guide Contents About Cryptographic Services 5 At a Glance 5 Encryption, Signing and Verifying, and Digital Certificates Can Protect Data from Prying Eyes 5 OS X and ios Provide Encryption
More informationEmbedding more security in digital signature system by using combination of public key cryptography and secret sharing scheme
International Journal of Computer Sciences and Engineering Open Access Research Paper Volume-4, Issue-3 E-ISSN: 2347-2693 Embedding more security in digital signature system by using combination of public
More informationElements of Security
Elements of Security Dr. Bill Young Department of Computer Sciences University of Texas at Austin Last updated: April 15, 2015 Slideset 8: 1 Some Poetry Mary had a little key (It s all she could export)
More informationCenter for Internet Security. INTEGRATED INTELLIGENCE CENTER Technical White Paper William F. Pelgrin, CIS President and CEO
INTEGRATED INTELLIGENCE CENTER Technical White Paper William F. Pelgrin, CIS President and CEO Private and Public Key Cryptography and Ransomware December 2014 Authored by:ted Fischer (CIS) Security Operations
More informationPractice Questions. CS161 Computer Security, Fall 2008
Practice Questions CS161 Computer Security, Fall 2008 Name Email address Score % / 100 % Please do not forget to fill up your name, email in the box in the midterm exam you can skip this here. These practice
More informationPaillier Threshold Encryption Toolbox
Paillier Threshold Encryption Toolbox October 23, 2010 1 Introduction Following a desire for secure (encrypted) multiparty computation, the University of Texas at Dallas Data Security and Privacy Lab created
More informationANALYSIS OF RSA ALGORITHM USING GPU PROGRAMMING
ANALYSIS OF RSA ALGORITHM USING GPU PROGRAMMING Sonam Mahajan 1 and Maninder Singh 2 1 Department of Computer Science Engineering, Thapar University, Patiala, India 2 Department of Computer Science Engineering,
More informationCryptography and Network Security Chapter 10
Cryptography and Network Security Chapter 10 Fifth Edition by William Stallings Lecture slides by Lawrie Brown (with edits by RHB) Chapter 10 Other Public Key Cryptosystems Amongst the tribes of Central
More informationThe science of encryption: prime numbers and mod n arithmetic
The science of encryption: prime numbers and mod n arithmetic Go check your e-mail. You ll notice that the webpage address starts with https://. The s at the end stands for secure meaning that a process
More informationThe Feasibility and Application of using a Zero-knowledge Protocol Authentication Systems
The Feasibility and Application of using a Zero-knowledge Protocol Authentication Systems Becky Cutler Rebecca.cutler@tufts.edu Mentor: Professor Chris Gregg Abstract Modern day authentication systems
More informationRSA Encryption. Tom Davis tomrdavis@earthlink.net http://www.geometer.org/mathcircles October 10, 2003
RSA Encryption Tom Davis tomrdavis@earthlink.net http://www.geometer.org/mathcircles October 10, 2003 1 Public Key Cryptography One of the biggest problems in cryptography is the distribution of keys.
More informationCSC474/574 - Information Systems Security: Homework1 Solutions Sketch
CSC474/574 - Information Systems Security: Homework1 Solutions Sketch February 20, 2005 1. Consider slide 12 in the handout for topic 2.2. Prove that the decryption process of a one-round Feistel cipher
More informationAuthentication, digital signatures, PRNG
Multimedia Security Authentication, digital signatures, PRNG Mauro Barni University of Siena Beyond confidentiality Up to now, we have been concerned with protecting message content (i.e. confidentiality)
More informationNetwork Security Technology Network Management
COMPUTER NETWORKS Network Security Technology Network Management Source Encryption E(K,P) Decryption D(K,C) Destination The author of these slides is Dr. Mark Pullen of George Mason University. Permission
More informationwww.studymafia.org Seminar report Digital Signature Submitted in partial fulfillment of the requirement for the award of degree Of Computer Science
A Seminar report on Digital Signature Submitted in partial fulfillment of the requirement for the award of degree Of Computer Science SUBMITTED TO: www.studymafia.org SUBMITTED BY: www.studymafia.org Preface
More informationElements of Applied Cryptography Public key encryption
Network Security Elements of Applied Cryptography Public key encryption Public key cryptosystem RSA and the factorization problem RSA in practice Other asymmetric ciphers Asymmetric Encryption Scheme Let
More informationDigital Signatures. (Note that authentication of sender is also achieved by MACs.) Scan your handwritten signature and append it to the document?
Cryptography Digital Signatures Professor: Marius Zimand Digital signatures are meant to realize authentication of the sender nonrepudiation (Note that authentication of sender is also achieved by MACs.)
More informationDiscrete Mathematics, Chapter 4: Number Theory and Cryptography
Discrete Mathematics, Chapter 4: Number Theory and Cryptography Richard Mayr University of Edinburgh, UK Richard Mayr (University of Edinburgh, UK) Discrete Mathematics. Chapter 4 1 / 35 Outline 1 Divisibility
More information