On the NIST Lightweight Cryptography Standardization
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Public Key Cryptography And
PublicPublic KeyKey CryptographyCryptography andand RSARSA Raj Jain Washington University in Saint Louis Saint Louis, MO 63130 [email protected] Audio/Video recordings of this lecture are available at: http://www.cse.wustl.edu/~jain/cse571-11/ Washington University in St. Louis CSE571S ©2011 Raj Jain 9-1 OverviewOverview 1. Public Key Encryption 2. Symmetric vs. Public-Key 3. RSA Public Key Encryption 4. RSA Key Construction 5. Optimizing Private Key Operations 6. RSA Security These slides are based partly on Lawrie Brown’s slides supplied with William Stallings’s book “Cryptography and Network Security: Principles and Practice,” 5th Ed, 2011. Washington University in St. Louis CSE571S ©2011 Raj Jain 9-2 PublicPublic KeyKey EncryptionEncryption Invented in 1975 by Diffie and Hellman at Stanford Encrypted_Message = Encrypt(Key1, Message) Message = Decrypt(Key2, Encrypted_Message) Key1 Key2 Text Ciphertext Text Keys are interchangeable: Key2 Key1 Text Ciphertext Text One key is made public while the other is kept private Sender knows only public key of the receiver Asymmetric Washington University in St. Louis CSE571S ©2011 Raj Jain 9-3 PublicPublic KeyKey EncryptionEncryption ExampleExample Rivest, Shamir, and Adleman at MIT RSA: Encrypted_Message = m3 mod 187 Message = Encrypted_Message107 mod 187 Key1 = <3,187>, Key2 = <107,187> Message = 5 Encrypted Message = 53 = 125 Message = 125107 mod 187 = 5 = 125(64+32+8+2+1) mod 187 = {(12564 mod 187)(12532 mod 187)... (1252 mod 187)(125 mod 187)} mod 187 Washington University in -
Zero Correlation Linear Cryptanalysis on LEA Family Ciphers
Journal of Communications Vol. 11, No. 7, July 2016 Zero Correlation Linear Cryptanalysis on LEA Family Ciphers Kai Zhang, Jie Guan, and Bin Hu Information Science and Technology Institute, Zhengzhou 450000, China Email: [email protected]; [email protected]; [email protected] Abstract—In recent two years, zero correlation linear Zero correlation linear cryptanalysis was firstly cryptanalysis has shown its great potential in cryptanalysis and proposed by Andrey Bogdanov and Vicent Rijmen in it has proven to be effective against massive ciphers. LEA is a 2011 [2], [3]. Generally speaking, this cryptanalytic block cipher proposed by Deukjo Hong, who is the designer of method can be concluded as “use linear approximation of an ISO standard block cipher - HIGHT. This paper evaluates the probability 1/2 to eliminate the wrong key candidates”. security level on LEA family ciphers against zero correlation linear cryptanalysis. Firstly, we identify some 9-round zero However, in this basic model of zero correlation linear correlation linear hulls for LEA. Accordingly, we propose a cryptanalysis, the data complexity is about half of the full distinguishing attack on all variants of 9-round LEA family code book. The high data complexity greatly limits the ciphers. Then we propose the first zero correlation linear application of this new method. In FSE 2012, multiple cryptanalysis on 13-round LEA-192 and 14-round LEA-256. zero correlation linear cryptanalysis [4] was proposed For 13-round LEA-192, we propose a key recovery attack with which use multiple zero correlation linear approximations time complexity of 2131.30 13-round LEA encryptions, data to reduce the data complexity. -
Choosing Key Sizes for Cryptography
information security technical report 15 (2010) 21e27 available at www.sciencedirect.com www.compseconline.com/publications/prodinf.htm Choosing key sizes for cryptography Alexander W. Dent Information Security Group, University Of London, Royal Holloway, UK abstract After making the decision to use public-key cryptography, an organisation still has to make many important decisions before a practical system can be implemented. One of the more difficult challenges is to decide the length of the keys which are to be used within the system: longer keys provide more security but mean that the cryptographic operation will take more time to complete. The most common solution is to take advice from information security standards. This article will investigate the methodology that is used produce these standards and their meaning for an organisation who wishes to implement public-key cryptography. ª 2010 Elsevier Ltd. All rights reserved. 1. Introduction being compromised by an attacker). It also typically means a slower scheme. Most symmetric cryptographic schemes do The power of public-key cryptography is undeniable. It is not allow the use of keys of different lengths. If a designer astounding in its simplicity and its ability to provide solutions wishes to offer a symmetric scheme which provides different to many seemingly insurmountable organisational problems. security levels depending on the key size, then the designer However, the use of public-key cryptography in practice is has to construct distinct variants of a central design which rarely as simple as the concept first appears. First one has to make use of different pre-specified key lengths. -
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. -
Quantum Computing Threat: How to Keep Ahead
Think openly, build securely White paper: Quantum Computing Threat: How to Keep Ahead Ë PQShield Ƕ February 2021 © PQShield Ltd | www.pqshield.com | PQShield Ltd, Oxford, OX2 7HT, UK Cryptographic agility and a clear roadmap to the upcoming NIST standards are key to a smooth and secure transition. 1 Background 1.1 New Cryptography Standards The NIST (U.S. National Institute of Standards and Technology) Post‐Quantum Cryptography (PQC) Project has been running since 2016 and is now in its third, final evaluation round. This project standardizes new key establishment and digital signature algorithms that have been designed to be resistant against attacks by quantum computers. These new algorithms are intended to replace current classical‐security RSA and Elliptic Cryptography (ECDH, ECDSA) standards in applications. The particular mathematical problems that RSA and Elliptic Cryptography are based onareeasy (polynomial‐time solvable) for quantum computers. Unless complemented with quantum‐safe cryptography, this will allow for the forgery of digital signatures (integrity compromise) and de‐ cryption of previously encrypted data (confidentiality compromise) in the future. This is aheight‐ ened risk for organizations that need to secure data for long periods of time; government orga‐ nizations that handle and secure classified information have largely been the drivers ofthepost‐ quantum standardization and its adoption in the field, but banks, financial services, healthcare providers, those developing intellectual property and many others increasingly feel the need to ensure that they can protect their customers and IP – now and in the future. 1.2 Quantum Threat and Post-Quantum Cryptography The current position of NCSC (UK’s National Cyber Security Centre) and NSA (USA’s National Se‐ curity Agency) is that the best mitigation against the threat of quantum computers is quantum‐ safe cryptography, also known as post‐quantum cryptography (PQC). -
Optimized Threshold Implementations: Securing Cryptographic Accelerators for Low-Energy and Low-Latency Applications
Optimized Threshold Implementations: Securing Cryptographic Accelerators for Low-Energy and Low-Latency Applications Dušan Božilov1,2, Miroslav Knežević1 and Ventzislav Nikov1 1 NXP Semiconductors, Leuven, Belgium 2 COSIC, KU Leuven and imec, Belgium [email protected] Abstract. Threshold implementations have emerged as one of the most popular masking countermeasures for hardware implementations of cryptographic primitives. In the original version of TI, the number of input shares was dependent on both security order d and algebraic degree of a function t, namely td + 1. At CRYPTO 2015, a new method was presented yielding to a d-th order secure implementation using d + 1 input shares. In this work, we first provide a construction for d + 1 TI sharing which achieves the minimal number of output shares for any n-input Boolean function of degree t = n − 1. Furthermore, we present a heuristic for minimizing the number of output shares for higher order td + 1 TI. Finally, we demonstrate the applicability of our results on d + 1 and td + 1 TI versions, for first- and second-order secure, low-latency and low-energy implementations of the PRINCE block cipher. Keywords: Threshold Implementations · PRINCE · SCA · Masking 1 Introduction Historically, the field of lightweight cryptography has been focused on designing algorithms that leave as small footprint as possible when manufactured in silicon. Small area implicitly results in low power consumption, which is another, equally important, optimization target. Hitting these two targets comes at a price since the performance and energy consumption of lightweight cryptographic primitives are far from being competitive and, for most online applications, they are often not meeting the requirements. -
LEA 192: High Speed Architecture of Lightweight Block Cipher
International Journal of Innovative Technology and Exploring Engineering (IJITEE) ISSN: 2278-3075, Volume-9 Issue-2S, December 2019 LEA 192: High Speed Architecture of Lightweight Block Cipher Zeesha Mishra, Shubham Mishra, Bibhudendra Acharya The communication among connected things must be secure Abstract: High-throughput lightweight cryptography and fast while processing confidential data. Due to a calculation is the need of the present world to convey between two substantial amount of sensitive and valuable data and low asset obliged devices Pipelining is the technique have been used computational resources in the network, it has become to achieve high throughput. In this paper we have target to cumbersome to provide security in the IoT[2]. lightweight block cipher LEA. Block size of LEA is 128 and key Resource-constrained applications comprising of sensor size 128, 192, and 256 bit. In this paper we have focus on LEA architecture for 192- bit key size and achieve very good nodes in wireless sensor networks, RFID tags require smaller throughput. This method has a higher capability of throughput as footprint with minimum battery consumption. compared to previous LEA ciphers. Proposed work is 56% LEA[3] is a lightweight block cipher. LEA has 128-bit improved version of compared paper for respective Speed and block size with 128, 192, 256-bit key sizes and rounds 24, 28 area also less than previous architecture. Graph representation and 32 respectively. LEA supports simple ARX (addition have been shown of different matrices and comparison. rotation XOR ) operation, LEA is not using complex S-box Keywords : ARX, Block Cipher, Cryptography, LEA, structure like AES [4] hence it will give high-speed Lightweight, Pipeline, Throughput. -
A Tutorial on the Implementation of Block Ciphers: Software and Hardware Applications
A Tutorial on the Implementation of Block Ciphers: Software and Hardware Applications Howard M. Heys Memorial University of Newfoundland, St. John's, Canada email: [email protected] Dec. 10, 2020 2 Abstract In this article, we discuss basic strategies that can be used to implement block ciphers in both software and hardware environments. As models for discussion, we use substitution- permutation networks which form the basis for many practical block cipher structures. For software implementation, we discuss approaches such as table lookups and bit-slicing, while for hardware implementation, we examine a broad range of architectures from high speed structures like pipelining, to compact structures based on serialization. To illustrate different implementation concepts, we present example data associated with specific methods and discuss sample designs that can be employed to realize different implementation strategies. We expect that the article will be of particular interest to researchers, scientists, and engineers that are new to the field of cryptographic implementation. 3 4 Terminology and Notation Abbreviation Definition SPN substitution-permutation network IoT Internet of Things AES Advanced Encryption Standard ECB electronic codebook mode CBC cipher block chaining mode CTR counter mode CMOS complementary metal-oxide semiconductor ASIC application-specific integrated circuit FPGA field-programmable gate array Table 1: Abbreviations Used in Article 5 6 Variable Definition B plaintext/ciphertext block size (also, size of cipher state) κ number -
State of the Art in Lightweight Symmetric Cryptography
State of the Art in Lightweight Symmetric Cryptography Alex Biryukov1 and Léo Perrin2 1 SnT, CSC, University of Luxembourg, [email protected] 2 SnT, University of Luxembourg, [email protected] Abstract. Lightweight cryptography has been one of the “hot topics” in symmetric cryptography in the recent years. A huge number of lightweight algorithms have been published, standardized and/or used in commercial products. In this paper, we discuss the different implementation constraints that a “lightweight” algorithm is usually designed to satisfy. We also present an extensive survey of all lightweight symmetric primitives we are aware of. It covers designs from the academic community, from government agencies and proprietary algorithms which were reverse-engineered or leaked. Relevant national (nist...) and international (iso/iec...) standards are listed. We then discuss some trends we identified in the design of lightweight algorithms, namely the designers’ preference for arx-based and bitsliced-S-Box-based designs and simple key schedules. Finally, we argue that lightweight cryptography is too large a field and that it should be split into two related but distinct areas: ultra-lightweight and IoT cryptography. The former deals only with the smallest of devices for which a lower security level may be justified by the very harsh design constraints. The latter corresponds to low-power embedded processors for which the Aes and modern hash function are costly but which have to provide a high level security due to their greater connectivity. Keywords: Lightweight cryptography · Ultra-Lightweight · IoT · Internet of Things · SoK · Survey · Standards · Industry 1 Introduction The Internet of Things (IoT) is one of the foremost buzzwords in computer science and information technology at the time of writing. -
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). -
Tongan Ways of Talking
TONGAN WAYS OF TALKING MELENAITE TAUMOEFOLAU University of Auckland Some excellent work has been published on Tongan speech levels from a sociolinguistic perspective (e.g., Philips 1991). The purpose of this article is to contribute to the literature by describing some important, not previously well-described features of ways of talking (WOT) in Tongan. I will use as my theoretical framework George Grace’s theory of language; he argued that a language is “a generalized way of talking about things” (Grace 1987: 99), a device for saying things, and it is, in turn, made up of “conventionalized ways of talking about consecrated subject-matters” (p. 103). In this article I will distinguish the following “ways of talking” (WOT):1 WOT 1. lea fakatu‘i—way of talking to or about the monarch/king (tu‘i) WOT 2. lea fakahouhou‘eiki—way of talking to or about chiefly people (hou‘eiki) WOT 3. lea fakamatäpule—polite way of talking that is characteristic of titled orators (matäpule) WOT 4. lea fakatökilalo / faka‘aki‘akimui—self-derogatory way of talking when addressing those of higher rank WOT 5. lea tavale—way of talking to a person with whom one is familiar or with whom one is socially equal, or way of talking to or about commoners (tu‘a) WOT 6. lea ‘ita—abusive way of talking Here I make four main claims about Tongan ways of talking: • The number of registers described for Tongan has been underestimated. I distinguish six (above) instead of the three that are traditionally described: of king—tu‘i, of chiefs—hou‘eiki, of commoners—tu‘a.