Algebraic Eraser™ and Lightweight Cryptography
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Course 5 Lesson 2
This material is based on work supported by the National Science Foundation under Grant No. 0802551 Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author (s) and do not necessarily reflect the views of the National Science Foundation C5L3S1 With the advent of the Internet, social networking, and open communication, a vast amount of information is readily available on the Internet for anyone to access. Despite this trend, computer users need to ensure private or personal communications remain confidential and are viewed only by the intended party. Private information such as a social security numbers, school transcripts, medical histories, tax records, banking, and legal documents should be secure when transmitted online or stored locally. One way to keep data confidential is to encrypt it. Militaries,U the governments, industries, and any organization having a desire to maintain privacy have used encryption techniques to secure information. Encryption helps to boost confidence in the security of online commerce and is necessary for secure transactions. In this lesson, you will review encryption and examine several tools used to encrypt data. You will also learn to encrypt and decrypt data. Anyone who desires to administer computer networks and work with private data must have some familiarity with basic encryption protocols and techniques. C5L3S2 You should know what will be expected of you when you complete this lesson. These expectations are presented as objectives. Objectives are short statements of expectations that tell you what you must be able to do, perform, learn, or adjust after reviewing the lesson. -
Chapter 12 Pretty Good Privacy (PGP)
Chapter 12 Pretty Good Privacy (PGP) With the explosively growing reliance on electronic mail for every conceivable pur- pose, there grows a demand for authentication and confidentiality services. Two schemes stand out as approaches that enjoy widespread use: Pretty Good Privacy (PGP) and Secure/Multipurpose Internet Mail Extension (S/MIME). The latter is a security en- hancement to the MIME Internet e-mail format standard, based on technology from RSA Data Security. Although both PGP and S/MIME are on an IETF standards track, it appears likely that S/MIME will emerge as the industry standard for commercial and organisational use, while PGP will remain the choice for personal e-mail security for many users. In this course we will only be looking at PGP. S/MIME is discussed in detail in the recommended text. 12.1 Background PGP is a remarkable phenomenon. Largely the effort of a single person, Phil Zimmer- mann, PGP provides a confidentiality and authentication service that can be used for electronic mail and file storage applications. In essence what Zimmermann has done is the following: 1. Selected the best cryptographic mechanisms (algorithms) as building blocks. 2. Integrated these algorithms into a general purpose application that is independent of operating system and processor and that is based on a small set of easy to use commands. 3. Made the package and its source code freely available via the Internet, bulletin boards, and commercial networks such as America On Line (AOL). 4. Entered into an agreement with a company (Viacrypt, now Network Associates) to provide a fully compatible low cost commercial version of PGP. -
Can We Trust Cryptographic Software? Cryptographic Flaws in GNU Privacy Guard V1.2.3
Can We Trust Cryptographic Software? Cryptographic Flaws in GNU Privacy Guard v1.2.3 Phong Q. Nguyen CNRS/Ecole´ normale sup´erieure D´epartement d’informatique 45 rue d’Ulm, 75230 Paris Cedex 05, France. [email protected] http://www.di.ens.fr/˜pnguyen Abstract. More and more software use cryptography. But how can one know if what is implemented is good cryptography? For proprietary soft- ware, one cannot say much unless one proceeds to reverse-engineering, and history tends to show that bad cryptography is much more frequent than good cryptography there. Open source software thus sounds like a good solution, but the fact that a source code can be read does not imply that it is actually read, especially by cryptography experts. In this paper, we illustrate this point by examining the case of a basic In- ternet application of cryptography: secure email. We analyze parts of thesourcecodeofthelatestversionofGNUPrivacyGuard(GnuPGor GPG), a free open source alternative to the famous PGP software, com- pliant with the OpenPGP standard, and included in most GNU/Linux distributions such as Debian, MandrakeSoft, Red Hat and SuSE. We ob- serve several cryptographic flaws in GPG v1.2.3. The most serious flaw has been present in GPG for almost four years: we show that as soon as one (GPG-generated) ElGamal signature of an arbitrary message is released, one can recover the signer’s private key in less than a second on a PC. As a consequence, ElGamal signatures and the so-called ElGamal sign+encrypt keys have recently been removed from GPG. -
A History of End-To-End Encryption and the Death of PGP
25/05/2020 A history of end-to-end encryption and the death of PGP Hey! I'm David, a security engineer at the Blockchain team of Facebook (https://facebook.com/), previously a security consultant for the Cryptography Services of NCC Group (https://www.nccgroup.com). I'm also the author of the Real World Cryptography book (https://www.manning.com/books/real-world- cryptography?a_aid=Realworldcrypto&a_bid=ad500e09). This is my blog about cryptography and security and other related topics that I Ûnd interesting. A history of end-to-end encryption and If you don't know where to start, you might want to check these popular the death of PGP articles: posted January 2020 - How did length extension attacks made it 1981 - RFC 788 - Simple Mail Transfer Protocol into SHA-2? (/article/417/how-did-length- extension-attacks-made-it-into-sha-2/) (https://tools.ietf.org/html/rfc788) (SMTP) is published, - Speed and Cryptography the standard for email is born. (/article/468/speed-and-cryptography/) - What is the BLS signature scheme? (/article/472/what-is-the-bls-signature- This is were everything starts, we now have an open peer-to-peer scheme/) protocol that everyone on the internet can use to communicate. - Zero'ing memory, compiler optimizations and memset_s (/article/419/zeroing-memory- compiler-optimizations-and-memset_s/) 1991 - The 9 Lives of Bleichenbacher's CAT: New Cache ATtacks on TLS Implementations The US government introduces the 1991 Senate Bill 266, (/article/461/the-9-lives-of-bleichenbachers- which attempts to allow "the Government to obtain the cat-new-cache-attacks-on-tls- plain text contents of voice, data, and other implementations/) - How to Backdoor Di¸e-Hellman: quick communications when appropriately authorized by law" explanation (/article/360/how-to-backdoor- from "providers of electronic communications services di¸e-hellman-quick-explanation/) and manufacturers of electronic communications - Tamarin Prover Introduction (/article/404/tamarin-prover-introduction/) service equipment". -
Arxiv:1911.09312V2 [Cs.CR] 12 Dec 2019
Revisiting and Evaluating Software Side-channel Vulnerabilities and Countermeasures in Cryptographic Applications Tianwei Zhang Jun Jiang Yinqian Zhang Nanyang Technological University Two Sigma Investments, LP The Ohio State University [email protected] [email protected] [email protected] Abstract—We systematize software side-channel attacks with three questions: (1) What are the common and distinct a focus on vulnerabilities and countermeasures in the cryp- features of various vulnerabilities? (2) What are common tographic implementations. Particularly, we survey past re- mitigation strategies? (3) What is the status quo of cryp- search literature to categorize vulnerable implementations, tographic applications regarding side-channel vulnerabili- and identify common strategies to eliminate them. We then ties? Past work only surveyed attack techniques and media evaluate popular libraries and applications, quantitatively [20–31], without offering unified summaries for software measuring and comparing the vulnerability severity, re- vulnerabilities and countermeasures that are more useful. sponse time and coverage. Based on these characterizations This paper provides a comprehensive characterization and evaluations, we offer some insights for side-channel of side-channel vulnerabilities and countermeasures, as researchers, cryptographic software developers and users. well as evaluations of cryptographic applications related We hope our study can inspire the side-channel research to side-channel attacks. We present this study in three di- community to discover new vulnerabilities, and more im- rections. (1) Systematization of literature: we characterize portantly, to fortify applications against them. the vulnerabilities from past work with regard to the im- plementations; for each vulnerability, we describe the root cause and the technique required to launch a successful 1. -
Secure Industrial Device Connectivity with Low-Overhead TLS
Secure Industrial Device Connectivity with Low-Overhead TLS Tuesday, October 3, 2017 1:10PM-2:10PM Chris Conlon - Engineering Manager, wolfSSL - B.S. from Montana State University (Bozeman, MT) - Software engineer at wolfSSL (7 years) Contact Info: - Email: [email protected] - Twitter: @c_conlon A. – B. – C. – D. – E. F. ● ● ● ○ ● ○ ● ○ ● Original Image Encrypted using ECB mode Modes other than ECB ● ○ ● ○ ● ● ● ● ○ ● ● ● ● ○ ● ○ ○ ○ ○ ● ○ ● ● ● ● ○ ● ● ○ By Original schema: A.J. Han Vinck, University of Duisburg-EssenSVG version: Flugaal - A.J. Han Vinck, Introduction to public key cryptography, p. 16, Public Domain, https://commons.wikimedia.org/w/index.php?curid=17063048 ● ○ ● ○ ■ ■ ■ ● ○ ■ ● ● ● ● ● ○ ● ● ● ● ● ● ● ○ ○ ○ ○ ● “Progressive” is a subjective term ● These slides talk about crypto algorithms that are: ○ New, modern ○ Becoming widely accepted ○ Have been integrated into SSL/TLS with cipher suites ● ChaCha20 ● Poly1305 ● Curve25519 ● Ed25519 Created by Daniel Bernstein a research professor at the University of Illinois, Chicago Chacha20-Poly1305 AEAD used in Google over HTTPS Ed25519 and ChaCha20-Poly1305 AEAD used in Apple’s HomeKit (iOS Security) ● Fast stream cipher ● Based from Salsa20 stream cipher using a different quarter-round process giving it more diffusion ● Can be used for AEAD encryption with Poly1305 ● Was published by Bernstein in 2008 Used by ● Google Chrome ● TinySSH ● Apple HomeKit ● wolfSSL ● To provide authenticity of messages (MAC) ● Extremely fast in comparison to others ● Introduced by a presentation given from Bernstein in 2002 ● Naming scheme from using polynomial-evaluation MAC (Message Authentication Code) over a prime field Z/(2^130 - 5) Used by ● Tor ● Google Chrome ● Apple iOS ● wolfSSL Generic Montgomery curve. Reference 5 Used by ● Tera Term ● GnuPG ● wolfSSL Generic Twisted Edwards Curve. -
Pgpfone Pretty Good Privacy Phone Owner’S Manual Version 1.0 Beta 7 -- 8 July 1996
Phil’s Pretty Good Software Presents... PGPfone Pretty Good Privacy Phone Owner’s Manual Version 1.0 beta 7 -- 8 July 1996 Philip R. Zimmermann PGPfone Owner’s Manual PGPfone Owner’s Manual is written by Philip R. Zimmermann, and is (c) Copyright 1995-1996 Pretty Good Privacy Inc. All rights reserved. Pretty Good Privacy™, PGP®, Pretty Good Privacy Phone™, and PGPfone™ are all trademarks of Pretty Good Privacy Inc. Export of this software may be restricted by the U.S. government. PGPfone software is (c) Copyright 1995-1996 Pretty Good Privacy Inc. All rights reserved. Phil’s Pretty Good engineering team: PGPfone for the Apple Macintosh and Windows written mainly by Will Price. Phil Zimmermann: Overall application design, cryptographic and key management protocols, call setup negotiation, and, of course, the manual. Will Price: Overall application design. He persuaded the rest of the team to abandon the original DOS command-line approach and designed a multithreaded event-driven GUI architecture. Also greatly improved call setup protocols. Chris Hall: Did early work on call setup protocols and cryptographic and key management protocols, and did the first port to Windows. Colin Plumb: Cryptographic and key management protocols, call setup negotiation, and the fast multiprecision integer math package. Jeff Sorensen: Speech compression. Will Kinney: Optimization of GSM speech compression code. Kelly MacInnis: Early debugging of the Win95 version. Patrick Juola: Computational linguistic research for biometric word list. -2- PGPfone Owner’s -
A Study of Non-Abelian Public Key Cryptography
International Journal of Network Security, Vol.20, No.2, PP.278-290, Mar. 2018 (DOI: 10.6633/IJNS.201803.20(2).09) 278 A Study of Non-Abelian Public Key Cryptography Tzu-Chun Lin Department of Applied Mathematics, Feng Chia University 100, Wenhwa Road, Taichung 40724, Taiwan, R.O.C. (Email: [email protected]) (Received Feb. 12, 2017; revised and accepted June 12, 2017) Abstract P.W. Shor pointed out that there are polynomial-time algorithms for solving the factorization and discrete log- Nonabelian group-based public key cryptography is a rel- arithmic problems based on abelian groups during the atively new and exciting research field. Rapidly increas- functions of a quantum computer. Research in new cryp- ing computing power and the futurity quantum comput- tographic methods is also imperative, as research on non- ers [52] that have since led to, the security of public key abelian group-based cryptosystems will be one of new re- cryptosystems in use today, will be questioned. Research search priorities. In fact, the pioneering work for non- in new cryptographic methods is also imperative. Re- abelian group-based public key cryptosystem was pro- search on nonabelian group-based cryptosystems will be- posed by N. R. Wagner and M. R. Magyarik [61] in 1985. come one of contemporary research priorities. Many inno- Their idea just is not suitable for practical applications. vative ideas for them have been presented for the past two For nearly two decades, numerous nonabelian groups have decades, and many corresponding problems remain to be been discussed to design efficient cryptographic systems. -
Security Analysis of the Signal Protocol Student: Bc
ASSIGNMENT OF MASTER’S THESIS Title: Security Analysis of the Signal Protocol Student: Bc. Jan Rubín Supervisor: Ing. Josef Kokeš Study Programme: Informatics Study Branch: Computer Security Department: Department of Computer Systems Validity: Until the end of summer semester 2018/19 Instructions 1) Research the current instant messaging protocols, describe their properties, with a particular focus on security. 2) Describe the Signal protocol in detail, its usage, structure, and functionality. 3) Select parts of the protocol with a potential for security vulnerabilities. 4) Analyze these parts, particularly the adherence of their code to their documentation. 5) Discuss your findings. Formulate recommendations for the users. References Will be provided by the supervisor. prof. Ing. Róbert Lórencz, CSc. doc. RNDr. Ing. Marcel Jiřina, Ph.D. Head of Department Dean Prague January 27, 2018 Czech Technical University in Prague Faculty of Information Technology Department of Computer Systems Master’s thesis Security Analysis of the Signal Protocol Bc. Jan Rub´ın Supervisor: Ing. Josef Kokeˇs 1st May 2018 Acknowledgements First and foremost, I would like to express my sincere gratitude to my thesis supervisor, Ing. Josef Kokeˇs,for his guidance, engagement, extensive know- ledge, and willingness to meet at our countless consultations. I would also like to thank my brother, Tom´aˇsRub´ın,for proofreading my thesis. I cannot express enough gratitude towards my parents, Lenka and Jaroslav Rub´ınovi, who supported me both morally and financially through my whole studies. Last but not least, this thesis would not be possible without Anna who re- lentlessly supported me when I needed it most. Declaration I hereby declare that the presented thesis is my own work and that I have cited all sources of information in accordance with the Guideline for adhering to ethical principles when elaborating an academic final thesis. -
The Algebraic Eraser: a Linear Asymmetric Protocol for Low-Resource Environments
The Algebraic Eraser: a linear asymmetric protocol for low-resource environments Derek Atkins, Paul E. Gunnells SecureRF Corporation IETF92 (3/25/15) Algebraic Eraser I I. Anshel, M. Anshel, D. Goldfeld, and S. Lemieux, Key agreement, the Algebraic EraserTM, and lightweight cryptography, Algebraic methods in cryptography, Contemp. Math., vol. 418, Amer. Math. Soc., Providence, RI, 2006, pp. 1{34. I Asymmetric key agreement protocol I Designed for low-cost platforms with constrained computational resources I RFID I Bluetooth I NFC I \Internet of Things" I Complexity scales linearly with desired security level, unlike RSA, ECC. AE Performance vs ECC 2128 Security level (AES{128) ECC 283 AE B16, F256 Gain Cycles Gates Wtd. Perf. Cycles Gates Wtd. Perf. 164,823 29,458 4,855,355,934 71.7x 85,367 77,858 6,646,503,866 3,352 20,206 67,730,512 98.1x 70,469 195,382 13,768,374,158 203.3x Wtd. Perf. is Weighted Performance (clock cycles × gate count) and represents time and power usage. Gate counts are for 65nm CMOS. ECC data taken from A Flexible Soft IP Core for Standard Implementations of Elliptic Curve Cryptography in Hardware, B. Ferreira and N. Calazans, 2013 IEEE 20th International Conference on Electronics, Circuits, and Systems (ICECS), 12/2013. Overview of AE I The AE key exchange is a nonabelian Diffie–Hellman exchange. × I The underlying algebraic structure is not (Z=NZ) or E(Fq), but rather I Mn(Fq)(n × n matrices over Fq), I Bn (the braid group on n strands). I Private keys: a pair R = (m; µ) of a matrix and braid. -
Analysis and Implementation of the Messaging Layer Security Protocol
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by AMS Tesi di Laurea Alma Mater Studiorum · Universita` di Bologna CAMPUS DI CESENA Dipartimento di Informatica - Scienza e Ingegneria Corso di Laurea Magistrale in Ingegneria e Scienze Informatiche Analysis and Implementation of the Messaging Layer Security Protocol Tesi in Sicurezza delle Reti Relatore: Presentata da: Gabriele D'Angelo Nicola Giancecchi Anno Accademico 2018/2019 Parole chiave Network Security Messaging MLS Protocol Ratchet Trees \Oh me, oh vita! Domande come queste mi perseguitano. Infiniti cortei d'infedeli, citt`agremite di stolti, che v'`edi nuovo in tutto questo, oh me, oh vita! Risposta: Che tu sei qui, che la vita esiste e l’identit`a. Che il potente spettacolo continua, e che tu puoi contribuire con un verso." - Walt Whitman Alla mia famiglia. Introduzione L'utilizzo di servizi di messaggistica su smartphone `eincrementato in maniera considerevole negli ultimi anni, complice la sempre maggiore disponi- bilit`adi dispositivi mobile e l'evoluzione delle tecnologie di comunicazione via Internet, fattori che hanno di fatto soppiantato l'uso dei classici SMS. Tale incremento ha riguardato anche l'utilizzo in ambito business, un contesto dove `epi`ufrequente lo scambio di informazioni confidenziali e quindi la necessit`adi proteggere la comunicazione tra due o pi`upersone. Ci`onon solo per un punto di vista di sicurezza, ma anche di privacy personale. I maggiori player mondiali hanno risposto implementando misure di sicurezza all'interno dei propri servizi, quali ad esempio la crittografia end-to-end e regole sempre pi`ustringenti sul trattamento dei dati personali. -
You Really Shouldn't Roll Your Own Crypto: an Empirical Study of Vulnerabilities in Cryptographic Libraries
You Really Shouldn’t Roll Your Own Crypto: An Empirical Study of Vulnerabilities in Cryptographic Libraries Jenny Blessing Michael A. Specter Daniel J. Weitzner MIT MIT MIT Abstract A common aphorism in applied cryptography is that cryp- The security of the Internet rests on a small number of open- tographic code is inherently difficult to secure due to its com- source cryptographic libraries: a vulnerability in any one of plexity; that one should not “roll your own crypto.” In par- them threatens to compromise a significant percentage of web ticular, the maxim that complexity is the enemy of security traffic. Despite this potential for security impact, the character- is a common refrain within the security community. Since istics and causes of vulnerabilities in cryptographic software the phrase was first popularized in 1999 [52], it has been in- are not well understood. In this work, we conduct the first voked in general discussions about software security [32] and comprehensive analysis of cryptographic libraries and the vul- cited repeatedly as part of the encryption debate [26]. Conven- nerabilities affecting them. We collect data from the National tional wisdom holds that the greater the number of features Vulnerability Database, individual project repositories and in a system, the greater the risk that these features and their mailing lists, and other relevant sources for eight widely used interactions with other components contain vulnerabilities. cryptographic libraries. Unfortunately, the security community lacks empirical ev- Among our most interesting findings is that only 27.2% of idence supporting the “complexity is the enemy of security” vulnerabilities in cryptographic libraries are cryptographic argument with respect to cryptographic software.