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Public-Key Cryptography
Public Key Cryptography EJ Jung Basic Public Key Cryptography public key public key ? private key Alice Bob Given: Everybody knows Bob’s public key - How is this achieved in practice? Only Bob knows the corresponding private key Goals: 1. Alice wants to send a secret message to Bob 2. Bob wants to authenticate himself Requirements for Public-Key Crypto ! Key generation: computationally easy to generate a pair (public key PK, private key SK) • Computationally infeasible to determine private key PK given only public key PK ! Encryption: given plaintext M and public key PK, easy to compute ciphertext C=EPK(M) ! Decryption: given ciphertext C=EPK(M) and private key SK, easy to compute plaintext M • Infeasible to compute M from C without SK • Decrypt(SK,Encrypt(PK,M))=M Requirements for Public-Key Cryptography 1. Computationally easy for a party B to generate a pair (public key KUb, private key KRb) 2. Easy for sender to generate ciphertext: C = EKUb (M ) 3. Easy for the receiver to decrypt ciphertect using private key: M = DKRb (C) = DKRb[EKUb (M )] Henric Johnson 4 Requirements for Public-Key Cryptography 4. Computationally infeasible to determine private key (KRb) knowing public key (KUb) 5. Computationally infeasible to recover message M, knowing KUb and ciphertext C 6. Either of the two keys can be used for encryption, with the other used for decryption: M = DKRb[EKUb (M )] = DKUb[EKRb (M )] Henric Johnson 5 Public-Key Cryptographic Algorithms ! RSA and Diffie-Hellman ! RSA - Ron Rives, Adi Shamir and Len Adleman at MIT, in 1977. • RSA -
On the NIST Lightweight Cryptography Standardization
On the NIST Lightweight Cryptography Standardization Meltem S¨onmez Turan NIST Lightweight Cryptography Team ECC 2019: 23rd Workshop on Elliptic Curve Cryptography December 2, 2019 Outline • NIST's Cryptography Standards • Overview - Lightweight Cryptography • NIST Lightweight Cryptography Standardization Process • Announcements 1 NIST's Cryptography Standards National Institute of Standards and Technology • Non-regulatory federal agency within U.S. Department of Commerce. • Founded in 1901, known as the National Bureau of Standards (NBS) prior to 1988. • Headquarters in Gaithersburg, Maryland, and laboratories in Boulder, Colorado. • Employs around 6,000 employees and associates. NIST's Mission to promote U.S. innovation and industrial competitiveness by advancing measurement science, standards, and technology in ways that enhance economic security and improve our quality of life. 2 NIST Organization Chart Laboratory Programs Computer Security Division • Center for Nanoscale Science and • Cryptographic Technology Technology • Secure Systems and Applications • Communications Technology Lab. • Security Outreach and Integration • Engineering Lab. • Security Components and Mechanisms • Information Technology Lab. • Security Test, Validation and • Material Measurement Lab. Measurements • NIST Center for Neutron Research • Physical Measurement Lab. Information Technology Lab. • Advanced Network Technologies • Applied and Computational Mathematics • Applied Cybersecurity • Computer Security • Information Access • Software and Systems • Statistical -
A Password-Based Key Derivation Algorithm Using the KBRP Method
American Journal of Applied Sciences 5 (7): 777-782, 2008 ISSN 1546-9239 © 2008 Science Publications A Password-Based Key Derivation Algorithm Using the KBRP Method 1Shakir M. Hussain and 2Hussein Al-Bahadili 1Faculty of CSIT, Applied Science University, P.O. Box 22, Amman 11931, Jordan 2Faculty of Information Systems and Technology, Arab Academy for Banking and Financial Sciences, P.O. Box 13190, Amman 11942, Jordan Abstract: This study presents a new efficient password-based strong key derivation algorithm using the key based random permutation the KBRP method. The algorithm consists of five steps, the first three steps are similar to those formed the KBRP method. The last two steps are added to derive a key and to ensure that the derived key has all the characteristics of a strong key. In order to demonstrate the efficiency of the algorithm, a number of keys are derived using various passwords of different content and length. The features of the derived keys show a good agreement with all characteristics of strong keys. In addition, they are compared with features of keys generated using the WLAN strong key generator v2.2 by Warewolf Labs. Key words: Key derivation, key generation, strong key, random permutation, Key Based Random Permutation (KBRP), key authentication, password authentication, key exchange INTRODUCTION • The key size must be long enough so that it can not Key derivation is the process of generating one or be easily broken more keys for cryptography and authentication, where a • The key should have the highest possible entropy key is a sequence of characters that controls the process (close to unity) [1,2] of a cryptographic or authentication algorithm . -
TS 102 176-1 V2.1.1 (2011-07) Technical Specification
ETSI TS 102 176-1 V2.1.1 (2011-07) Technical Specification Electronic Signatures and Infrastructures (ESI); Algorithms and Parameters for Secure Electronic Signatures; Part 1: Hash functions and asymmetric algorithms 2 ETSI TS 102 176-1 V2.1.1 (2011-07) Reference RTS/ESI-000080-1 Keywords e-commerce, electronic signature, security ETSI 650 Route des Lucioles F-06921 Sophia Antipolis Cedex - FRANCE Tel.: +33 4 92 94 42 00 Fax: +33 4 93 65 47 16 Siret N° 348 623 562 00017 - NAF 742 C Association à but non lucratif enregistrée à la Sous-Préfecture de Grasse (06) N° 7803/88 Important notice Individual copies of the present document can be downloaded from: http://www.etsi.org The present document may be made available in more than one electronic version or in print. In any case of existing or perceived difference in contents between such versions, the reference version is the Portable Document Format (PDF). In case of dispute, the reference shall be the printing on ETSI printers of the PDF version kept on a specific network drive within ETSI Secretariat. Users of the present document should be aware that the document may be subject to revision or change of status. Information on the current status of this and other ETSI documents is available at http://portal.etsi.org/tb/status/status.asp If you find errors in the present document, please send your comment to one of the following services: http://portal.etsi.org/chaircor/ETSI_support.asp Copyright Notification No part may be reproduced except as authorized by written permission. -
Authentication and Key Distribution in Computer Networks and Distributed Systems
13 Authentication and key distribution in computer networks and distributed systems Rolf Oppliger University of Berne Institute for Computer Science and Applied Mathematics {JAM) Neubruckstrasse 10, CH-3012 Bern Phone +41 31 631 89 51, Fax +41 31 631 39 65, [email protected] Abstract Authentication and key distribution systems are used in computer networks and dis tributed systems to provide security services at the application layer. There are several authentication and key distribution systems currently available, and this paper focuses on Kerberos (OSF DCE), NetSP, SPX, TESS and SESAME. The systems are outlined and reviewed with special regard to the security services they offer, the cryptographic techniques they use, their conformance to international standards, and their availability and exportability. Keywords Authentication, key distribution, Kerberos, NetSP, SPX, TESS, SESAME 1 INTRODUCTION Authentication and key distribution systems are used in computer networks and dis tributed systems to provide security services at the application layer. There are several authentication and key distribution systems currently available, and this paper focuses on Kerberos (OSF DCE), NetSP, SPX, TESS and SESAME. The systems are outlined and reviewed with special regard to the security services they offer, the cryptographic techniques they use, their conformance to international standards, and their availability and exportability. It is assumed that the reader of this paper is familiar with the funda mentals of cryptography, and the use of cryptographic techniques in computer networks and distributed systems (Oppliger, 1992 and Schneier, 1994). The following notation is used in this paper: • Capital letters are used to refer to principals (users, clients and servers). -
Guidelines on Cryptographic Algorithms Usage and Key Management
EPC342-08 Version 7.0 4 November 2017 [X] Public – [ ] Internal Use – [ ] Confidential – [ ] Strictest Confidence Distribution: Publicly available GUIDELINES ON CRYPTOGRAPHIC ALGORITHMS USAGE AND KEY MANAGEMENT Abstract This document defines guidelines on cryptographic algorithms usage and key management. Document Reference EPC342-08 Issue Version 7.0 Date of Issue 22 November 2017 Reason for Issue Maintenance of document Produced by EPC Authorised by EPC Document History This document was first produced by ECBS as TR 406, with its latest ECBS version published in September 2005. The document has been handed over to the EPC which is responsible for its yearly maintenance. DISCLAIMER: Whilst the European Payments Council (EPC) has used its best endeavours to make sure that all the information, data, documentation (including references) and other material in the present document are accurate and complete, it does not accept liability for any errors or omissions. EPC will not be liable for any claims or losses of any nature arising directly or indirectly from use of the information, data, documentation or other material in the present document. Conseil Européen des Paiements AISBL– Cours Saint-Michel 30A – B 1040 Brussels Tel: +32 2 733 35 33 – Fax: +32 2 736 49 88 Enterprise N° 0873.268.927 – www.epc-cep.eu – [email protected] © 2016 Copyright European Payments Council (EPC) AISBL: Reproduction for non-commercial purposes is authorised, with acknowledgement of the source Table of Content MANAGEMENT SUMMARY ............................................................. 5 1 INTRODUCTION .................................................................... 7 1.1 Scope of the document ...................................................... 7 1.2 Document structure .......................................................... 7 1.3 Recommendations ............................................................ 8 1.4 Implementation best practices ......................................... -
BIP Note 18 Binding Implementation Practice (BIP) Note
Superannuation Transaction Network BIP Note 18 Binding Implementation Practice (BIP) Note Title: TLS Configuration and Cryptography Date: 10 Nov 201 5 Standards Version: 1.0 Scope [ x ] transport layer Status: [ ] Draft [ ] message payload [x ] Ratified [ x ] security Live Date: 25 February 2016 On this date this BIP note will be binding on all participants 1. Change This document sets requirements for SSL/TLS configuration within the STN. 2. Reason for Change Secure message exchange within the STN is fully dependent on HTTPS protocol (HTTP over TLS). SSL 3.0 has existed for at least 15 years. It was superseded by TLS 1.0 which was in turn replaced by TLS 1.1 and TLS 1.2. Cryptography standards used in SSL and early versions of TLS are now deprecated and do not provide sufficient level of security. Clause 6.6(a) of Superannuation Data and Gateway Services Standards for Gateway Operators transaction within the Superannuation Transaction Network document requires STN gateways to use “a minimum level of protection of Transport Layer Security (TLS) of version 1.1 or above”. Majority of the STN gateways supports TLS versions 1.0 through 1.2 at the server side (some gateways still support SSL 3.0). However, only a few gateways support modern TLS versions at the client side resulting majority of transactions within the STN being sent through TLS 1.0 channel. In order to eliminate vulnerabilities of the obsolete SSL/TLS protocols, SSL 3.0 and TLS 1.0 must be completely disabled. Mozilla Foundation recommends not to include TLS 1.0 into “Modern” configuration set for web- servers and limits its usage only for backward-compatibility purposes (given that STN is P2P network with a limited number of participants, backward-compatibility issue is not relevant). -
Cs 255 (Introduction to Cryptography)
CS 255 (INTRODUCTION TO CRYPTOGRAPHY) DAVID WU Abstract. Notes taken in Professor Boneh’s Introduction to Cryptography course (CS 255) in Winter, 2012. There may be errors! Be warned! Contents 1. 1/11: Introduction and Stream Ciphers 2 1.1. Introduction 2 1.2. History of Cryptography 3 1.3. Stream Ciphers 4 1.4. Pseudorandom Generators (PRGs) 5 1.5. Attacks on Stream Ciphers and OTP 6 1.6. Stream Ciphers in Practice 6 2. 1/18: PRGs and Semantic Security 7 2.1. Secure PRGs 7 2.2. Semantic Security 8 2.3. Generating Random Bits in Practice 9 2.4. Block Ciphers 9 3. 1/23: Block Ciphers 9 3.1. Pseudorandom Functions (PRF) 9 3.2. Data Encryption Standard (DES) 10 3.3. Advanced Encryption Standard (AES) 12 3.4. Exhaustive Search Attacks 12 3.5. More Attacks on Block Ciphers 13 3.6. Block Cipher Modes of Operation 13 4. 1/25: Message Integrity 15 4.1. Message Integrity 15 5. 1/27: Proofs in Cryptography 17 5.1. Time/Space Tradeoff 17 5.2. Proofs in Cryptography 17 6. 1/30: MAC Functions 18 6.1. Message Integrity 18 6.2. MAC Padding 18 6.3. Parallel MAC (PMAC) 19 6.4. One-time MAC 20 6.5. Collision Resistance 21 7. 2/1: Collision Resistance 21 7.1. Collision Resistant Hash Functions 21 7.2. Construction of Collision Resistant Hash Functions 22 7.3. Provably Secure Compression Functions 23 8. 2/6: HMAC And Timing Attacks 23 8.1. HMAC 23 8.2. -
Study on the Use of Cryptographic Techniques in Europe
Study on the use of cryptographic techniques in Europe [Deliverable – 2011-12-19] Updated on 2012-04-20 II Study on the use of cryptographic techniques in Europe Contributors to this report Authors: Edward Hamilton and Mischa Kriens of Analysys Mason Ltd Rodica Tirtea of ENISA Supervisor of the project: Rodica Tirtea of ENISA ENISA staff involved in the project: Demosthenes Ikonomou, Stefan Schiffner Agreements or Acknowledgements ENISA would like to thank the contributors and reviewers of this study. Study on the use of cryptographic techniques in Europe III About ENISA The European Network and Information Security Agency (ENISA) is a centre of network and information security expertise for the EU, its member states, the private sector and Europe’s citizens. ENISA works with these groups to develop advice and recommendations on good practice in information security. It assists EU member states in implementing relevant EU leg- islation and works to improve the resilience of Europe’s critical information infrastructure and networks. ENISA seeks to enhance existing expertise in EU member states by supporting the development of cross-border communities committed to improving network and information security throughout the EU. More information about ENISA and its work can be found at www.enisa.europa.eu. Contact details For contacting ENISA or for general enquiries on cryptography, please use the following de- tails: E-mail: [email protected] Internet: http://www.enisa.europa.eu Legal notice Notice must be taken that this publication represents the views and interpretations of the au- thors and editors, unless stated otherwise. This publication should not be construed to be a legal action of ENISA or the ENISA bodies unless adopted pursuant to the ENISA Regulation (EC) No 460/2004 as lastly amended by Regulation (EU) No 580/2011. -
TRANSPORT LAYER SECURITY (TLS) Lokesh Phani Bodavula
TRANSPORT LAYER SECURITY (TLS) Lokesh Phani Bodavula October 2015 Abstract 1 Introduction The security of Electronic commerce is completely in the hands of Cryptogra- phy. Most of the transactions through e-commerce sites, auction sites, on-line banking, stock trading and many more are exchanged over the network. SSL or TLS are the additional layers that are required in order to obtain authen- tication, privacy and integrity for all kinds of communication going through network. This paper focuses on the additional layer (TLS) which is responsi- ble for the whole communication. Transport Layer Security is a protocol that is responsible for offering privacy between the communicating applications and their users on Internet. TLS is inserted between the application layer and the network layer-where the session layer is in the OSI model TLS, however, requires a reliable transport channel-typically TCP. 2 History Instead of the end-to-end argument and the S-HTTP proposal the developers at Netscape Communications introduced an interesting secured connection concept of low-layer and high-layer security. For achieving this type of security there em- ployed a new intermediate layer between the transport layer and the application layer which is called as Secure Sockets Layer (SSL). SSL is the starting stage for the evolution of different transport layer security protocols. Technically SSL protocol is assigned to the transport layer because of its functionality is deeply inter-winded with the one of a transport layer protocol like TCP. Coming to history of Transport layer protocols as soon as the National Center for Super- computing Application (NCSA) released the first popular Web browser called Mosaic 1.0 in 1993, Netscape Communications started working on SSL protocol. -
SMPTE Standards Transition Issues for NIST/FIPS Requirements V1.1
SMPTE Standards Transition Issues for NIST/FIPS Requirements v1.1 2010.8.23 DRM inside, Taehyun Kim ETRI, Kisoon Yoon Contents 1 Introduction NIST (National Institute of Standards and Technology) published second draft special document 1 (SP 800-131, Recommendation for the Transitioning of Cryptographic Algorithms and Key Length) [28] in June, 2010. It includes transition recommendations through 9 items associated with the use of cryptography, whose purpose is to keep the security level being still higher as the more powerful computing techniques are available. The 9 items described in the SP 800-131 are: • Encryption (Sec. 2) • Digital Signature (Sec. 3) • Random Number Generation (Sec. 4) • Key Agreement Using Diffie-Hellman and MQV (Sec. 5) • Key Agreement and Key Transport Using RSA (Sec. 6) • Key Wrapping (Sec. 7) • GDIO Protocol (Sec 8.) • Deriving Additional Keys (Sec. 8) • Hash Function (Sec. 9) • Message Authentication Codes (Sec. 10) Currently, SMPTE documents2 refer to the FIPS (Federal Information Processing Standard) to use its cryptographic algorithms which are Secure Hash Standard (FIPS 180-1, 180-2) [1][2], Digital Signature Standard (FIPS 186-2, Jan. 2000) [4], Random Number Generation (FIPS 186-2, Jan. 2000), Advanced Encryption Standard (FIPS 197, Nov. 2001) [6] and Keyed-Hash Message Authentication Code (FIPS 198-1, Apr. 2002) [7]. As upgrade version of the FIPSs and new recommendation are published from the NIST, we need to consider impacts on the SMPTE standard documents. This report summarizes SMPTE documents in cryptographic point of view and new NIST requirements related to the cryptographic algorithm and strength to which SMPTE standards are referring. -
Nist Sp 800-77 Rev. 1 Guide to Ipsec Vpns
NIST Special Publication 800-77 Revision 1 Guide to IPsec VPNs Elaine Barker Quynh Dang Sheila Frankel Karen Scarfone Paul Wouters This publication is available free of charge from: https://doi.org/10.6028/NIST.SP.800-77r1 C O M P U T E R S E C U R I T Y NIST Special Publication 800-77 Revision 1 Guide to IPsec VPNs Elaine Barker Quynh Dang Sheila Frankel* Computer Security Division Information Technology Laboratory Karen Scarfone Scarfone Cybersecurity Clifton, VA Paul Wouters Red Hat Toronto, ON, Canada *Former employee; all work for this publication was done while at NIST This publication is available free of charge from: https://doi.org/10.6028/NIST.SP.800-77r1 June 2020 U.S. Department of Commerce Wilbur L. Ross, Jr., Secretary National Institute of Standards and Technology Walter Copan, NIST Director and Under Secretary of Commerce for Standards and Technology Authority This publication has been developed by NIST in accordance with its statutory responsibilities under the Federal Information Security Modernization Act (FISMA) of 2014, 44 U.S.C. § 3551 et seq., Public Law (P.L.) 113-283. NIST is responsible for developing information security standards and guidelines, including minimum requirements for federal information systems, but such standards and guidelines shall not apply to national security systems without the express approval of appropriate federal officials exercising policy authority over such systems. This guideline is consistent with the requirements of the Office of Management and Budget (OMB) Circular A-130. Nothing in this publication should be taken to contradict the standards and guidelines made mandatory and binding on federal agencies by the Secretary of Commerce under statutory authority.