Draft FIPS 186-5, Digital Signature Standard (DSS)
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Post-Quantum Cryptography
Post-quantum cryptography Daniel J. Bernstein & Tanja Lange University of Illinois at Chicago; Ruhr University Bochum & Technische Universiteit Eindhoven 12 September 2020 I Motivation #1: Communication channels are spying on our data. I Motivation #2: Communication channels are modifying our data. I Literal meaning of cryptography: \secret writing". I Achieves various security goals by secretly transforming messages. I Confidentiality: Eve cannot infer information about the content I Integrity: Eve cannot modify the message without this being noticed I Authenticity: Bob is convinced that the message originated from Alice Cryptography with symmetric keys AES-128. AES-192. AES-256. AES-GCM. ChaCha20. HMAC-SHA-256. Poly1305. SHA-2. SHA-3. Salsa20. Cryptography with public keys BN-254. Curve25519. DH. DSA. ECDH. ECDSA. EdDSA. NIST P-256. NIST P-384. NIST P-521. RSA encrypt. RSA sign. secp256k1. Cryptography / Sender Receiver \Alice" \Bob" Tsai Ing-Wen picture credit: By =q府, Attribution, Wikimedia. Donald Trump picture credit: By Shealah Craighead - White House, Public Domain, Wikimedia. Daniel J. Bernstein & Tanja Lange Post-quantum cryptography2 Cryptography with symmetric keys AES-128. AES-192. AES-256. AES-GCM. ChaCha20. HMAC-SHA-256. Poly1305. SHA-2. SHA-3. Salsa20. I Literal meaning of cryptography: \secret writing". Cryptography with public keys Achieves various security goals by secretly transforming messages. BN-254I . Curve25519. DH. DSA. ECDH. ECDSA. EdDSA. NIST P-256. NIST P-384. Confidentiality: Eve cannot infer information about the content NISTI P-521. RSA encrypt. RSA sign. secp256k1. I Integrity: Eve cannot modify the message without this being noticed I Authenticity: Bob is convinced that the message originated from Alice Cryptography / Sender Untrustworthy network Receiver \Alice" \Eve" \Bob" I Motivation #1: Communication channels are spying on our data. -
Hash Functions and Thetitle NIST of Shapresentation-3 Competition
The First 30 Years of Cryptographic Hash Functions and theTitle NIST of SHAPresentation-3 Competition Bart Preneel COSIC/Kath. Univ. Leuven (Belgium) Session ID: CRYP-202 Session Classification: Hash functions decoded Insert presenter logo here on slide master Hash functions X.509 Annex D RIPEMD-160 MDC-2 SHA-256 SHA-3 MD2, MD4, MD5 SHA-512 SHA-1 This is an input to a crypto- graphic hash function. The input is a very long string, that is reduced by the hash function to a string of fixed length. There are 1A3FD4128A198FB3CA345932 additional security conditions: it h should be very hard to find an input hashing to a given value (a preimage) or to find two colliding inputs (a collision). Hash function history 101 DES RSA 1980 single block ad hoc length schemes HARDWARE MD2 MD4 1990 SNEFRU double MD5 block security SHA-1 length reduction for RIPEMD-160 factoring, SHA-2 2000 AES permu- DLOG, lattices Whirlpool SOFTWARE tations SHA-3 2010 Applications • digital signatures • data authentication • protection of passwords • confirmation of knowledge/commitment • micropayments • pseudo-random string generation/key derivation • construction of MAC algorithms, stream ciphers, block ciphers,… Agenda Definitions Iterations (modes) Compression functions SHA-{0,1,2,3} Bits and bytes 5 Hash function flavors cryptographic hash function this talk MAC MDC OWHF CRHF UOWHF (TCR) Security requirements (n-bit result) preimage 2nd preimage collision ? x ? ? ? h h h h h h(x) h(x) = h(x‘) h(x) = h(x‘) 2n 2n 2n/2 Informal definitions (1) • no secret parameters -
Hash Functions
11 Hash Functions Suppose you share a huge le with a friend, but you are not sure whether you both have the same version of the le. You could send your version of the le to your friend and they could compare to their version. Is there any way to check that involves less communication than this? Let’s call your version of the le x (a string) and your friend’s version y. The goal is to determine whether x = y. A natural approach is to agree on some deterministic function H, compute H¹xº, and send it to your friend. Your friend can compute H¹yº and, since H is deterministic, compare the result to your H¹xº. In order for this method to be fool-proof, we need H to have the property that dierent inputs always map to dierent outputs — in other words, H must be injective (1-to-1). Unfortunately, if H is injective and H : f0; 1gin ! f0; 1gout is injective, then out > in. This means that sending H¹xº is no better/shorter than sending x itself! Let us call a pair ¹x;yº a collision in H if x , y and H¹xº = H¹yº. An injective function has no collisions. One common theme in cryptography is that you don’t always need something to be impossible; it’s often enough for that thing to be just highly unlikely. Instead of saying that H should have no collisions, what if we just say that collisions should be hard (for polynomial-time algorithms) to nd? An H with this property will probably be good enough for anything we care about. -
Secure Authentication Protocol for Internet of Things Achraf Fayad
Secure authentication protocol for Internet of Things Achraf Fayad To cite this version: Achraf Fayad. Secure authentication protocol for Internet of Things. Networking and Internet Archi- tecture [cs.NI]. Institut Polytechnique de Paris, 2020. English. NNT : 2020IPPAT051. tel-03135607 HAL Id: tel-03135607 https://tel.archives-ouvertes.fr/tel-03135607 Submitted on 9 Feb 2021 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Protocole d’authentification securis´ e´ pour les objets connectes´ These` de doctorat de l’Institut Polytechnique de Paris prepar´ ee´ a` Tel´ ecom´ Paris Ecole´ doctorale n◦626 Ecole´ doctorale de l’Institut Polytechnique de Paris (EDIPP) Specialit´ e´ de doctorat : Reseaux,´ informations et communications NNT : 2020IPPAT051 These` present´ ee´ et soutenue a` Palaiseau, le 14 decembre´ 2020, par ACHRAF FAYAD Composition du Jury : Ken CHEN Professeur, Universite´ Paris 13 Nord President´ Pascal LORENZ Professeur, Universite´ de Haute-Alsace (UHA) Rapporteur Ahmed MEHAOUA Professeur, Universite´ Paris Descartes Rapporteur Lyes KHOUKHI Professeur, Ecole´ Nationale Superieure´ d’Ingenieurs´ de Examinateur Caen-ENSICAEN Ahmad FADLALLAH Associate Professor, University of Sciences and Arts in Lebanon Examinateur (USAL) Rida KHATOUN Maˆıtre de conferences,´ Tel´ ecom´ Paris Directeur de these` Ahmed SERHROUCHNI Professeur, Tel´ ecom´ Paris Co-directeur de these` Badis HAMMI Associate Professor, Ecole´ pour l’informatique et les techniques Invite´ avancees´ (EPITA) 626 Acknowledgments First, I would like to thank my thesis supervisor Dr. -
Alternative Elliptic Curve Representations
Alternative Elliptic Curve Representations draft-struik-lwig-curve-representations-00 René Struik Struik Security Consultancy E-mail: [email protected] IETF 101draft-struik – London,-lwig-curve- representationsUK, March-002018 1 Outline 1. The ECC Algorithm Zoo – NIST curve P-256, ECDSA – Curve25519 – Ed25519 2. Implementation Detail 3. How to Reuse Code 4. How to Reuse Existing Standards 5. Conclusions draft-struik-lwig-curve-representations-00 2 ECC Algorithm Zoo (1) NIST curves: Curve model: Weierstrass curve Curve equation: y2 = x3 + ax + b (mod p) Base point: G=(Gx, Gy) Scalar multiplication: addition formulae using, e.g., mixed Jacobian coordinates Point representation: both coordinates of point P=(X, Y) (affine coordinates) 0x04 || X || Y in most-significant-bit/octet first order Examples: NIST P-256 (ANSI X9.62, NIST SP 800-56a, SECG, etc.); Brainpool256r1 (RFC 5639) ECDSA: Signature: R || s in most-significant-bit/octet first order Signing equation: e = s k + d r (mod n), where e=Hash(m) Example: ECDSA, w/ P-256 and SHA-256 (FIPS 186-4, ANSI X9.62, etc.) Note: message m pre-hashed draft-struik-lwig-curve-representations-00 3 ECC Algorithm Zoo (2) CFRG curves: Curve model: Montgomery curve Curve equation: By2 = x3 + Ax2 + x (mod p) Base point: G=(Gx, Gy) Scalar multiplication: Montgomery ladder, using projective coordinates [X: :Z] Point representation: x-coordinate of point P=(X, Y) (x-coordinate-only) X in least-significant-octet, most-significant-bit first order Examples: Curve25519, Curve448 (RFC 7748) DH Key agreement: -
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. -
Multi-Party Encrypted Messaging Protocol Design Document, Release 0.3-2-Ge104946
Multi-Party Encrypted Messaging Protocol design document Release 0.3-2-ge104946 Mega Limited, Auckland, New Zealand Guy Kloss <[email protected]> arXiv:1606.04593v1 [cs.CR] 14 Jun 2016 11 January 2016 CONTENTS 1 Strongvelope Multi-Party Encrypted Messaging Protocol 2 1.1 Intent.......................................... ....... 2 1.2 SecurityProperties.............................. ............ 2 1.3 ScopeandLimitations ............................. ........... 3 1.4 Assumptions ..................................... ........ 3 1.5 Messages........................................ ....... 3 1.6 Terminology ..................................... ........ 4 2 Cryptographic Primitives 5 2.1 KeyPairforAuthentication . ............. 5 2.2 KeyAgreement.................................... ........ 5 2.3 (Sender)KeyEncryption. ............ 5 2.4 MessageAuthentication . ............ 6 2.5 MessageEncryption ............................... .......... 6 3 Message Encryption 7 3.1 SenderKeyExchange ............................... ......... 7 3.2 ContentEncryption............................... ........... 8 4 Protocol Encoding 9 4.1 TLVTypes ........................................ ...... 9 4.2 MessageSignatures ............................... .......... 10 4.3 MessageTypes.................................... ........ 10 4.4 KeyedMessages ................................... ........ 10 4.5 FollowupMessages ................................ ......... 10 4.6 AlterParticipantMessages. .............. 11 4.7 LegacySenderKeyEncryption . ............ 11 4.8 SenderKeystoInclude... -
Practical Fault Attack Against the Ed25519 and Eddsa Signature Schemes
Practical fault attack against the Ed25519 and EdDSA signature schemes Yolan Romailler, Sylvain Pelissier Kudelski Security Cheseaux-sur-Lausanne, Switzerland fyolan.romailler,[email protected] main advantages is that its scalar multiplication can be Abstract—The Edwards-curve Digital Signature Algorithm implemented without secret dependent branch and lookup, (EdDSA) was proposed to perform fast public-key digital avoiding the risk of side-channel leakage. More recently, a signatures as a replacement for the Elliptic Curve Digital Signature Algorithm (ECDSA). Its key advantages for em- new digital signature algorithm, namely Ed25519 [6], was bedded devices are higher performance and straightforward, proposed based on the curve edwards25519, i.e., the Edward secure implementations. Indeed, neither branch nor lookup twist of Curve25519. This algorithm was then generalized operations depending on the secret values are performed to other curves and called EdDSA [7]. Due to its various during a signature. These properties thwart many side-channel advantages [7], EdDSA was quickly implemented in many attacks. Nevertheless, we demonstrate here that a single-fault attack against EdDSA can recover enough private key material products and libraries, such as OpenSSH [8]. It was also to forge valid signatures for any message. We demonstrate a recently formally defined in RFC 8032 [9]. practical application of this attack against an implementation The authors of EdDSA did not make any claims about its on Arduino Nano. To the authors’ best knowledge this is the security against fault attacks. However, its resistance to fault first practical fault attack against EdDSA or Ed25519. attacks is discussed in [10]–[12] and taken into account by Keywords-EdDSA; Ed25519; fault attack; digital signature Perrin in [13]. -
The First Cryptographic Hash Workshop
Workshop Report The First Cryptographic Hash Workshop Gaithersburg, MD Oct. 31-Nov. 1, 2005 Report prepared by Shu-jen Chang and Morris Dworkin Information Technology Laboratory, National Institute of Standards and Technology, Gaithersburg, MD 20899 Available online: http://csrc.nist.gov/groups/ST/hash/documents/HashWshop_2005_Report.pdf 1. Introduction On Oct. 31-Nov. 1, 2005, 180 members of the global cryptographic community gathered in Gaithersburg, MD to attend the first Cryptographic Hash Workshop. The workshop was organized in response to a recent attack on the NIST-approved Secure Hash Algorithm SHA-1. The purpose of the workshop was to discuss this attack, assess the status of other NIST-approved hash algorithms, and discuss possible near-and long-term options. 2. Workshop Program The workshop program consisted of two days of presentations of papers that were submitted to the workshop and panel discussion sessions that NIST organized. The main topics for the discussions included the SHA-1 and SHA-2 hash functions, future research of hash functions, and NIST’s strategy. The program is available at http://csrc.nist.gov/groups/ST/hash/first_workshop.html. This report only briefly summarizes the presentations, because the above web site for the program includes links to the speakers' slides and papers. The main ideas of the discussion sessions, however, are described in considerable detail; in fact, the panelists and attendees are often paraphrased very closely, to minimize misinterpretation. Their statements are not necessarily presented in the order that they occurred, in order to organize them according to NIST's questions for each session. 3. -
(Not) to Design and Implement Post-Quantum Cryptography
SoK: How (not) to Design and Implement Post-Quantum Cryptography James Howe1 , Thomas Prest1 , and Daniel Apon2 1 PQShield, Oxford, UK. {james.howe,thomas.prest}@pqshield.com 2 National Institute of Standards and Technology, USA. [email protected] Abstract Post-quantum cryptography has known a Cambrian explo- sion in the last decade. What started as a very theoretical and mathe- matical area has now evolved into a sprawling research ˝eld, complete with side-channel resistant embedded implementations, large scale de- ployment tests and standardization e˙orts. This study systematizes the current state of knowledge on post-quantum cryptography. Compared to existing studies, we adopt a transversal point of view and center our study around three areas: (i) paradigms, (ii) implementation, (iii) deployment. Our point of view allows to cast almost all classical and post-quantum schemes into just a few paradigms. We highlight trends, common methodologies, and pitfalls to look for and recurrent challenges. 1 Introduction Since Shor's discovery of polynomial-time quantum algorithms for the factoring and discrete logarithm problems, researchers have looked at ways to manage the potential advent of large-scale quantum computers, a prospect which has become much more tangible of late. The proposed solutions are cryptographic schemes based on problems assumed to be resistant to quantum computers, such as those related to lattices or hash functions. Post-quantum cryptography (PQC) is an umbrella term that encompasses the design, implementation, and integration of these schemes. This document is a Systematization of Knowledge (SoK) on this diverse and progressive topic. We have made two editorial choices. -
Subliminal Channels in High-Speed Signatures
Die approbierte Originalversion dieser Diplom-/ Masterarbeit ist in der Hauptbibliothek der Tech- nischen Universität Wien aufgestellt und zugänglich. http://www.ub.tuwien.ac.at institute of telecommunications The approved original version of this diploma or master thesis is available at the main library of the Vienna University of Technology. http://www.ub.tuwien.ac.at/eng Subliminal Channels in High-Speed Signatures Master’s Thesis for obtaining the academic degree Diplom-Ingenieur as part of the study Electrical Engineering and Information Technology carried out by Alexander Hartl student number: 01125115 Institute of Telecommunications at TU Wien Supervision: Univ. Prof. Dipl.-Ing. Dr.-Ing. Tanja Zseby Dipl.-Ing. Robert Annessi, B.Sc Acknowledgments I want to express my gratitude for everyone who assisted or encouraged me in various ways during my studies. In particular, I would like to thank Prof. Tanja Zseby and Dipl.-Ing. Robert Annessi for giving me the opportunity to write this thesis, for supporting me actively while I was working on it and for many valuable comments and suggestions. I owe special thanks to my family, especially my parents Edith and Rudolf, for their endless support during all these years. Thank you, Sabrina, for encouraging me and for so many cheerful hours in my life. Abstract One of the fundamental building blocks for achieving security in data networks is the use of digital signatures. A digital signature is a bit string which allows the receiver of a message to ensure that the message indeed originated from the apparent sender and has not been altered along the path. -
PDF Hosted at the Radboud Repository of the Radboud University Nijmegen
PDF hosted at the Radboud Repository of the Radboud University Nijmegen The following full text is a publisher's version. For additional information about this publication click this link. http://hdl.handle.net/2066/204182 Please be advised that this information was generated on 2021-09-24 and may be subject to change. Security on the Line: Modern Curve-based Cryptography Copyright c 2019 Joost Renes ISBN: 978–94–6323–695–9 Typeset using LATEX Cover design: Ilse Modder – www.ilsemodder.nl Printed by: Gildeprint – www.gildeprint.nl This work is part of the research programme TYPHOON with project number 13499, which is (partly) financed by the Netherlands Organisation for Scientific Research (NWO). Security on the Line: Modern Curve-based Cryptography Proefschrift ter verkrijging van de graad van doctor aan de Radboud Universiteit Nijmegen op gezag van de rector magnificus prof. dr. J.H.J.M. van Krieken, volgens besluit van het college van decanen in het openbaar te verdedigen op maandag 1 juli 2019 om 14.30 uur precies door Joost Roland Renes geboren op 26 juni 1991 te Harmelen Promotor Prof. dr. L. Batina Manuscriptcommissie Prof. dr. E.R. Verheul Prof. dr. S.D. Galbraith (University of Auckland, Nieuw-Zeeland) Prof. dr. A.J. Menezes (University of Waterloo, Canada) Dr. N. Heninger (University of California San Diego, Verenigde Staten) Dr. F. Vercauteren (KU Leuven, België) Acknowledgements A unique feature of doing a PhD is that by the end of it, one is expected to deliver a book detailing all personal contributions to the field of study. This inherently high- lights its individual nature, yet one would be wrong to think all these years are spent alone in a dark office (if anything, because no PhD student would ever be given their own office).