Comparative Analysis of Cryptographic Hash Functions
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IMPLEMENTATION and BENCHMARKING of PADDING UNITS and HMAC for SHA-3 CANDIDATES in FPGAS and ASICS by Ambarish Vyas a Thesis Subm
IMPLEMENTATION AND BENCHMARKING OF PADDING UNITS AND HMAC FOR SHA-3 CANDIDATES IN FPGAS AND ASICS by Ambarish Vyas A Thesis Submitted to the Graduate Faculty of George Mason University in Partial Fulfillment of The Requirements for the Degree of Master of Science Computer Engineering Committee: Dr. Kris Gaj, Thesis Director Dr. Jens-Peter Kaps. Committee Member Dr. Bernd-Peter Paris. Committee Member Dr. Andre Manitius, Department Chair of Electrical and Computer Engineering Dr. Lloyd J. Griffiths. Dean, Volgenau School of Engineering Date: ---J d. / q /9- 0 II Fall Semester 2011 George Mason University Fairfax, VA Implementation and Benchmarking of Padding Units and HMAC for SHA-3 Candidates in FPGAs and ASICs A thesis submitted in partial fulfillment of the requirements for the degree of Master of Science at George Mason University By Ambarish Vyas Bachelor of Science University of Pune, 2009 Director: Dr. Kris Gaj, Associate Professor Department of Electrical and Computer Engineering Fall Semester 2011 George Mason University Fairfax, VA Copyright c 2011 by Ambarish Vyas All Rights Reserved ii Acknowledgments I would like to use this oppurtunity to thank the people who have supported me throughout my thesis. First and foremost my advisor Dr.Kris Gaj, without his zeal, his motivation, his patience, his confidence in me, his humility, his diverse knowledge, and his great efforts this thesis wouldn't be possible. It is difficult to exaggerate my gratitude towards him. I also thank Ekawat Homsirikamol for his contributions to this project. He has significantly contributed to the designs and implementations of the architectures. Additionally, I am indebted to my student colleagues in CERG for providing a fun environment to learn and giving invaluable tips and support. -
RESOURCE-EFFICIENT CRYPTOGRAPHY for UBIQUITOUS COMPUTING Lightweight Cryptographic Primitives from a Hardware & Software Perspective
RESOURCE-EFFICIENT CRYPTOGRAPHY FOR UBIQUITOUS COMPUTING Lightweight Cryptographic Primitives from a Hardware & Software Perspective DISSERTATION for the degree of Doktor-Ingenieur of the Faculty of Electrical Engineering and Information Technology at the Ruhr University Bochum, Germany by Elif Bilge Kavun Bochum, December 2014 Copyright © 2014 by Elif Bilge Kavun. All rights reserved. Printed in Germany. Anneme ve babama... Elif Bilge Kavun Place of birth: Izmir,˙ Turkey Author’s contact information: [email protected] www.emsec.rub.de/chair/ staff/elif bilge kavun Thesis Advisor: Prof. Dr.-Ing. Christof Paar Ruhr-Universit¨atBochum, Germany Secondary Referee: Prof. Christian Rechberger Danmarks Tekniske Universitet, Denmark Thesis submitted: December 19, 2014 Thesis defense: February 6, 2015 v Abstract Technological advancements in the semiconductor industry over the last few decades made the mass production of very small-scale computing devices possible. Thanks to the compactness and mobility of these devices, they can be deployed “pervasively”, in other words, everywhere and anywhere – such as in smart homes, logistics, e-commerce, and medical technology. Em- bedding the small-scale devices into everyday objects pervasively also indicates the realization of the foreseen “ubiquitous computing” concept. However, ubiquitous computing and the mass deployment of the pervasive devices in turn brought some concerns – especially, security and privacy. Many people criticize the security and privacy management in the ubiquitous context. It is even believed that an inadequate level of security may be the greatest barrier to the long-term success of ubiquitous computing. For ubiquitous computing, the adversary model and the se- curity level is not the same as in traditional applications due to limited resources in pervasive devices – area, power, and energy are actually harsh constraints for such devices. -
Fair and Comprehensive Methodology for Comparing Hardware Performance of Fourteen Round Two SHA-3 Candidates Using Fpgas
Fair and Comprehensive Methodology for Comparing Hardware Performance of Fourteen Round Two SHA-3 Candidates Using FPGAs Kris Gaj, Ekawat Homsirikamol, and Marcin Rogawski ECE Department, George Mason University, Fairfax, VA 22030, U.S.A. {kgaj,ehomsiri,mrogawsk}@gmu.edu http://cryptography.gmu.edu Abstract. Performance in hardware has been demonstrated to be an important factor in the evaluation of candidates for cryptographic stan- dards. Up to now, no consensus exists on how such an evaluation should be performed in order to make it fair, transparent, practical, and ac- ceptable for the majority of the cryptographic community. In this pa- per, we formulate a proposal for a fair and comprehensive evaluation methodology, and apply it to the comparison of hardware performance of 14 Round 2 SHA-3 candidates. The most important aspects of our methodology include the definition of clear performance metrics, the de- velopment of a uniform and practical interface, generation of multiple sets of results for several representative FPGA families from two major vendors, and the application of a simple procedure to convert multiple sets of results into a single ranking. Keywords: benchmarking, hash functions, SHA-3, FPGA. 1 Introduction and Motivation Starting from the Advanced Encryption Standard (AES) contest organized by NIST in 1997-2000 [1], open contests have become a method of choice for select- ing cryptographic standards in the U.S. and over the world. The AES contest in the U.S. was followed by the NESSIE competition in Europe [2], CRYPTREC in Japan, and eSTREAM in Europe [3]. Four typical criteria taken into account in the evaluation of candidates are: security, performance in software, performance in hardware, and flexibility. -
Hello, and Welcome to This Presentation of the STM32MP1 Hash Processor
Hello, and welcome to this presentation of the STM32MP1 hash processor. 1 Hash peripheral is in charge of efficient computing of message digest. A digest is a fixed-length value computed from an input message. A digest is unique - it is virtually impossible to find two messages with the same digest. The original message cannot be retrieved from its digest. Hash digests and Hash-based Message Authentication Code (HMAC) are widely used in communication since they are used to guarantee the integrity and authentication of a transfer. 2 HASH1 is a secure peripheral (under ETZPC control through ETZPC_DECPROT0 bit 8) while HASH2 is a non secure peripheral. HASH1 instance can be allocated to: • The Arm® Cortex®-A7 secure core to be controlled in OP-TEE by the HASH OP-TEE driver or • The Arm® Cortex® -A7 non-secure core for using in Linux® with Linux Crypto framework HASH2 instance can be allocated to the Arm® Cortex®-M4 core to be controlled in the STM32Cube MPU Package using the STM32Cube HASH driver. HASH1 instance is used as boot device to support binary authentication. 3 The hash processor supports widely used hash functions including Message Digest 5 (MD5), Secure Hash Algorithm SHA-1 and the more recent SHA-2 with its 224- and 256-bit digest length versions. A hash can also be generated with a secrete-key to produce a message authentication code (MAC). The processor supports bit, byte and half-word swapping. It supports also automatic padding of input data for block alignment. The processor can be used in conjunction with the DMA for automatic processor feeding. -
Downloaded on 2017-02-12T13:16:07Z HARDWARE DESIGNOF CRYPTOGRAPHIC ACCELERATORS
Title Hardware design of cryptographic accelerators Author(s) Baldwin, Brian John Publication date 2013 Original citation Baldwin, B.J., 2013. Hardware design of cryptographic accelerators. PhD Thesis, University College Cork. Type of publication Doctoral thesis Rights © 2013. Brian J. Baldwin http://creativecommons.org/licenses/by-nc-nd/3.0/ Embargo information No embargo required Item downloaded http://hdl.handle.net/10468/1112 from Downloaded on 2017-02-12T13:16:07Z HARDWARE DESIGN OF CRYPTOGRAPHIC ACCELERATORS by BRIAN BALDWIN Thesis submitted for the degree of PHD from the Department of Electrical Engineering National University of Ireland University College, Cork, Ireland May 7, 2013 Supervisor: Dr. William P. Marnane “What I cannot create, I do not understand” - Richard Feynman; on his blackboard at time of death in 1988. Contents 1 Introduction 1 1.1 Motivation...................................... 1 1.2 ThesisAims..................................... 3 1.3 ThesisOutline................................... 6 2 Background 9 2.1 Introduction.................................... 9 2.2 IntroductiontoCryptography. ...... 10 2.3 MathematicalBackground . ... 13 2.3.1 Groups ................................... 13 2.3.2 Rings .................................... 14 2.3.3 Fields.................................... 15 2.3.4 FiniteFields ................................ 16 2.4 EllipticCurves .................................. 17 2.4.1 TheGroupLaw............................... 18 2.4.2 EllipticCurvesoverPrimeFields . .... 19 2.5 CryptographicPrimitives&Protocols -
Permutation-Based Encryption, Authentication and Authenticated Encryption
Permutation-based encryption, authentication and authenticated encryption Permutation-based encryption, authentication and authenticated encryption Joan Daemen1 Joint work with Guido Bertoni1, Michaël Peeters2 and Gilles Van Assche1 1STMicroelectronics 2NXP Semiconductors DIAC 2012, Stockholm, July 6 . Permutation-based encryption, authentication and authenticated encryption Modern-day cryptography is block-cipher centric Modern-day cryptography is block-cipher centric (Standard) hash functions make use of block ciphers SHA-1, SHA-256, SHA-512, Whirlpool, RIPEMD-160, … So HMAC, MGF1, etc. are in practice also block-cipher based Block encryption: ECB, CBC, … Stream encryption: synchronous: counter mode, OFB, … self-synchronizing: CFB MAC computation: CBC-MAC, C-MAC, … Authenticated encryption: OCB, GCM, CCM … . Permutation-based encryption, authentication and authenticated encryption Modern-day cryptography is block-cipher centric Structure of a block cipher . Permutation-based encryption, authentication and authenticated encryption Modern-day cryptography is block-cipher centric Structure of a block cipher (inverse operation) . Permutation-based encryption, authentication and authenticated encryption Modern-day cryptography is block-cipher centric When is the inverse block cipher needed? Indicated in red: Hashing and its modes HMAC, MGF1, … Block encryption: ECB, CBC, … Stream encryption: synchronous: counter mode, OFB, … self-synchronizing: CFB MAC computation: CBC-MAC, C-MAC, … Authenticated encryption: OCB, GCM, CCM … So a block cipher -
Sharing Resources Between AES and the SHA-3 Second Round
Sharing Resources Between AES and the SHA-3 Second Round Candidates Fugue and Grøstl Kimmo Järvinen Department of Information and Computer Science Aalto University, School of Science and Technology Espoo, Finland AES-inspired SHA-3 Candidates I Design strongly influenced by AES: Share the structure and have significant similarity in transformations, or even use AES as a subroutine I ECHO, Fugue, Grøstl, and SHAvite-3 I Benadjila et al. (ASIACRYPT 2009) studied useability of Intel’s AES instructions for AES-inspired candidates Conclusion: only ECHO and SHAvite-3, which use AES as a subroutine, benefit from the instructions I This is the first study of combining AES with the SHA-3 candidates on hardware (FPGA) The 2nd SHA-3 Candidate Conference Santa Barbara, CA, USA August 23–24, 2010 Research Topics and Motivation Research Questions I What modifications are required to embed AES into the data path of the hash algorithm (or vice versa)? I How much resources can be shared (logic, registers, memory, . )? I What are the costs (area, delay, throughput, power consumption, . )? Applications I Any applications that require dedicated hardware implementations of a hash algorithm and a block cipher would benefit from reduced costs I Particularly important if resources are very limited The 2nd SHA-3 Candidate Conference Santa Barbara, CA, USA August 23–24, 2010 Advanced Encryption Standard AES with a 128-bit key (AES-128) 8 I State: 4 × 4 bytes; each byte is an element of GF(2 ) I 10 rounds with four transformations Transformations I SubBytes: Bytes mapped -
The Boomerang Attacks on the Round-Reduced Skein-512 *
The Boomerang Attacks on the Round-Reduced Skein-512 ? Hongbo Yu1, Jiazhe Chen3, and Xiaoyun Wang2;3 1 Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China 2 Institute for Advanced Study, Tsinghua University, Beijing 100084, China fyuhongbo,[email protected] 3 Key Laboratory of Cryptologic Technology and Information Security, Ministry of Education, School of Mathematics, Shandong University, Jinan 250100, China [email protected] Abstract. The hash function Skein is one of the ¯ve ¯nalists of the NIST SHA-3 competition; it is based on the block cipher Three¯sh which only uses three primitive operations: modular addition, rotation and bitwise XOR (ARX). This paper studies the boomerang attacks on Skein-512. Boomerang distinguishers on the compression function reduced to 32 and 36 rounds are proposed, with complexities 2104:5 and 2454 respectively. Examples of the distinguishers on 28-round and 31- round are also given. In addition, the boomerang distinguishers are applicable to the key-recovery attacks on reduced Three¯sh-512. The complexities for key-recovery attacks reduced to 32-/33- /34-round are about 2181, 2305 and 2424. Because Laurent et al. [14] pointed out that the previous boomerang distinguishers for Three¯sh-512 are in fact not compatible, our attacks are the ¯rst valid boomerang attacks for the ¯nal round Skein-512. Key words: Hash function, Boomerang attack, Three¯sh, Skein 1 Introduction Cryptographic hash functions, which provide integrity, authentication and etc., are very impor- tant in modern cryptology. In 2005, as the most widely used hash functions MD5 and SHA-1 were broken by Wang et al. -
An Analytic Attack Against ARX Addition Exploiting Standard Side-Channel Leakage
An Analytic Attack Against ARX Addition Exploiting Standard Side-Channel Leakage Yan Yan1, Elisabeth Oswald1 and Srinivas Vivek2 1University of Klagenfurt, Klagenfurt, Austria 2IIIT Bangalore, India fyan.yan, [email protected], [email protected] Keywords: ARX construction, Side-channel analysis, Hamming weight, Chosen plaintext attack Abstract: In the last few years a new design paradigm, the so-called ARX (modular addition, rotation, exclusive-or) ciphers, have gained popularity in part because of their non-linear operation’s seemingly ‘inherent resilience’ against Differential Power Analysis (DPA) Attacks: the non-linear modular addition is not only known to be a poor target for DPA attacks, but also the computational complexity of DPA-style attacks grows exponentially with the operand size and thus DPA-style attacks quickly become practically infeasible. We however propose a novel DPA-style attack strategy that scales linearly with respect to the operand size in the chosen-message attack setting. 1 Introduction ever are different: they offer a potentially ‘high reso- lution’ for the adversary. In principle, under suitably Ciphers that base their round function on the sim- strong assumptions, adversaries can not only observe ple combination of modular addition, rotation, and leaks for all instructions that are executed on a proces- exclusive-or, (short ARX) have gained recent popu- sor, but indeed attribute leakage points (more or less larity for their lightweight implementations that are accurately) to instructions (Mangard et al., 2007). suitable for resource constrained devices. Some re- Achieving security in this scenario has proven to cent examples include Chacha20 (Nir and Langley, be extremely challenging, and countermeasures such 2015) and Salsa20 (Bernstein, 2008) family stream as masking (secret sharing) are well understood but ciphers, SHA-3 finalists BLAKE (Aumasson et al., costly (Schneider et al., 2015). -
SHA-3 Conference, March 2012, Skein: More Than Just a Hash Function
Skein More than just a hash function Third SHA-3 Candidate Conference 23 March 2012 Washington DC 1 Skein is Skein-512 • Confusion is common, partially our fault • Skein has two special-purpose siblings: – Skein-256 for extreme memory constraints – Skein-1024 for the ultra-high security margin • But for SHA-3, Skein is Skein-512 – One hash function for all output sizes 2 Skein Architecture • Mix function is 64-bit ARX • Permutation: relocation of eight 64-bit words • Threefish: tweakable block cipher – Mix + Permutation – Simple key schedule – 72 rounds, subkey injection every four rounds – Tweakable-cipher design key to speed, security • Skein chains Threefish with UBI chaining mode – Tweakable mode based on MMO – Provable properties – Every hashed block is unique • Variable size output means flexible to use! – One function for any size output 3 The Skein/Threefish Mix 4 Four Threefish Rounds 5 Skein and UBI chaining 6 Fastest in Software • 5.5 cycles/byte on 64-bit reference platform • 17.4 cycles/byte on 32-bit reference platform • 4.7 cycles/byte on Itanium • 15.2 cycles/byte on ARM Cortex A8 (ARMv7) – New numbers, best finalist on ARMv7 (iOS, Samsung, etc.) 7 Fast and Compact in Hardware • Fast – Skein-512 at 32 Gbit/s in 32 nm in 58 k gates – (57 Gbit/s if processing two messages in parallel) • To maximize hardware performance: – Use a fast adder, rely on simple control structure, and exploit Threefish's opportunities for pipelining – Do not trust your EDA tool to generate an efficient implementation • Compact design: – Small FPGA -
Cryptographic Sponge Functions
Cryptographic sponge functions Guido B1 Joan D1 Michaël P2 Gilles V A1 http://sponge.noekeon.org/ Version 0.1 1STMicroelectronics January 14, 2011 2NXP Semiconductors Cryptographic sponge functions 2 / 93 Contents 1 Introduction 7 1.1 Roots .......................................... 7 1.2 The sponge construction ............................... 8 1.3 Sponge as a reference of security claims ...................... 8 1.4 Sponge as a design tool ................................ 9 1.5 Sponge as a versatile cryptographic primitive ................... 9 1.6 Structure of this document .............................. 10 2 Definitions 11 2.1 Conventions and notation .............................. 11 2.1.1 Bitstrings .................................... 11 2.1.2 Padding rules ................................. 11 2.1.3 Random oracles, transformations and permutations ........... 12 2.2 The sponge construction ............................... 12 2.3 The duplex construction ............................... 13 2.4 Auxiliary functions .................................. 15 2.4.1 The absorbing function and path ...................... 15 2.4.2 The squeezing function ........................... 16 2.5 Primary aacks on a sponge function ........................ 16 3 Sponge applications 19 3.1 Basic techniques .................................... 19 3.1.1 Domain separation .............................. 19 3.1.2 Keying ..................................... 20 3.1.3 State precomputation ............................ 20 3.2 Modes of use of sponge functions ......................... -
The Missing Difference Problem, and Its Applications to Counter Mode
The Missing Difference Problem, and its Applications to Counter Mode Encryption? Ga¨etanLeurent and Ferdinand Sibleyras Inria, France fgaetan.leurent,[email protected] Abstract. The counter mode (CTR) is a simple, efficient and widely used encryption mode using a block cipher. It comes with a security proof that guarantees no attacks up to the birthday bound (i.e. as long as the number of encrypted blocks σ satisfies σ 2n=2), and a matching attack that can distinguish plaintext/ciphertext pairs from random using about 2n=2 blocks of data. The main goal of this paper is to study attacks against the counter mode beyond this simple distinguisher. We focus on message recovery attacks, with realistic assumptions about the capabilities of an adversary, and evaluate the full time complexity of the attacks rather than just the query complexity. Our main result is an attack to recover a block of message with complexity O~(2n=2). This shows that the actual security of CTR is similar to that of CBC, where collision attacks are well known to reveal information about the message. To achieve this result, we study a simple algorithmic problem related to the security of the CTR mode: the missing difference problem. We give efficient algorithms for this problem in two practically relevant cases: where the missing difference is known to be in some linear subspace, and when the amount of data is higher than strictly required. As a further application, we show that the second algorithm can also be used to break some polynomial MACs such as GMAC and Poly1305, with a universal forgery attack with complexity O~(22n=3).