The First Collision for Full SHA-1
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Increasing Cryptography Security Using Hash-Based Message
ISSN (Print) : 2319-8613 ISSN (Online) : 0975-4024 Seyyed Mehdi Mousavi et al. / International Journal of Engineering and Technology (IJET) Increasing Cryptography Security using Hash-based Message Authentication Code Seyyed Mehdi Mousavi*1, Dr.Mohammad Hossein Shakour 2 1-Department of Computer Engineering, Shiraz Branch, Islamic AzadUniversity, Shiraz, Iran . Email : [email protected] 2-Assistant Professor, Department of Computer Engineering, Shiraz Branch, Islamic Azad University ,Shiraz ,Iran Abstract Nowadays, with the fast growth of information and communication technologies (ICTs) and the vulnerabilities threatening human societies, protecting and maintaining information is critical, and much attention should be paid to it. In the cryptography using hash-based message authentication code (HMAC), one can ensure the authenticity of a message. Using a cryptography key and a hash function, HMAC creates the message authentication code and adds it to the end of the message supposed to be sent to the recipient. If the recipient of the message code is the same as message authentication code, the packet will be confirmed. The study introduced a complementary function called X-HMAC by examining HMAC structure. This function uses two cryptography keys derived from the dedicated cryptography key of each packet and the dedicated cryptography key of each packet derived from the main X-HMAC cryptography key. In two phases, it hashes message bits and HMAC using bit Swapp and rotation to left. The results show that X-HMAC function can be a strong barrier against data identification and HMAC against the attacker, so that it cannot attack it easily by identifying the blocks and using HMAC weakness. -
A Full Key Recovery Attack on HMAC-AURORA-512
A Full Key Recovery Attack on HMAC-AURORA-512 Yu Sasaki NTT Information Sharing Platform Laboratories, NTT Corporation 3-9-11 Midori-cho, Musashino-shi, Tokyo, 180-8585 Japan [email protected] Abstract. In this note, we present a full key recovery attack on HMAC- AURORA-512 when 512-bit secret keys are used and the MAC length is 512-bit long. Our attack requires 2257 queries and the off-line com- plexity is 2259 AURORA-512 operations, which is significantly less than the complexity of the exhaustive search for a 512-bit key. The attack can be carried out with a negligible amount of memory. Our attack can also recover the inner-key of HMAC-AURORA-384 with almost the same complexity as in HMAC-AURORA-512. This attack does not recover the outer-key of HMAC-AURORA-384, but universal forgery is possible by combining the inner-key recovery and 2nd-preimage attacks. Our attack exploits some weaknesses in the mode of operation. keywords: AURORA, DMMD, HMAC, Key recovery attack 1 Description 1.1 Mode of operation for AURORA-512 We briefly describe the specification of AURORA-512. Please refer to Ref. [2] for details. An input message is padded to be a multiple of 512 bits by the standard MD message padding, then, the padded message is divided into 512-bit message blocks (M0;M1;:::;MN¡1). 256 512 256 In AURORA-512, compression functions Fk : f0; 1g £f0; 1g ! f0; 1g 256 512 256 512 and Gk : f0; 1g £ f0; 1g ! f0; 1g , two functions MF : f0; 1g ! f0; 1g512 and MFF : f0; 1g512 ! f0; 1g512, and two initial 256-bit chaining U D 1 values H0 and H0 are defined . -
FPGA Parallel-Pipelined AES-GCM Core for 100G Ethernet Applications
FPGA Parallel-Pipelined AES-GCM Core for 100G Ethernet Applications Luca Henzen and Wolfgang Fichtner Integrated Systems Laboratory, ETH Zurich, Switzerland E-mail: {henzen, fw}@iis.ee.ethz.ch Abstract—The forthcoming IEEE 802.3ba Ethernet standard Exploiting the parallelization of four cores plus the extensive will provide data transmission at a bandwidth of 100 Gbit/s. Cur- utilization of pipelining, we were able to design three different rently, the fastest cryptographic primitive approved by the U.S. National Institute for Standard and Technology, that combines 100G AES-GCM implementations for Xilinx Virtex-5 FPGAs. data encryption and authentication, is the Galois/Counter Mode (GCM) of operation. If the feasibility to increase the speed of the II. GCM AUTHENTICATED ENCRYPTION GCM up to 100 Gbit/s on ASIC technologies has already been The GCM is a block cipher mode of operation that is demonstrated, the FPGA implementation of the GCM in secure able to encrypt or decrypt data, providing at the same time 100G Ethernet network systems arises some important structural issues. In this paper, we report on an efficient FPGA architecture authentication and data integrity . In practice, it combines a of the GCM combined with the AES block cipher. With the block cipher in the counter mode with universal hashing over parallelization of four pipelined AES-GCM cores we were able the binary field GF(2128). In this work, we used the Advanced to reach the speed required by the new Ethernet standard. Encryption Standard (AES) [4] for encryption and decryption, Furthermore, the time-critical binary field multiplication of the authentication process relies on four pipelined 2-step Karatsuba- supporting key sizes of 128, 192 and 256bits. -
Related-Key and Key-Collision Attacks Against RMAC
Related-Key and Key-Collision Attacks Against RMAC Tadayoshi Kohno CSE Department, UC San Diego 9500 Gilman Drive, MC-0114 La Jolla, California 92093-0114, USA IACR ePrint archive 2002/159, 21 October 2002, revised 2 December 2002. Abstract. In [JJV02] Jaulmes, Joux, and Valette propose a new ran- domized message authentication scheme, called RMAC, which NIST is currently in the process of standardizing [NIS02]. In this work we present several attacks against RMAC. The attacks are based on a new protocol- level related-key attack against RMAC and can be considered variants of Biham’s key-collision attack [Bih02]. These attacks provide insights into the RMAC design. We believe that the protocol-level related-key attack is of independent interest. Keywords: RMAC, key-collision attacks, related-key attacks. 1 Introduction Jaulmes, Joux, and Valette’s RMAC construction [JJV02] is a new ran- domized message authentication scheme. Similar to Petrank and Rackoff’s DMAC construction [PR97] and Black and Rogaway’s ECBC construc- tion [BR00], the RMAC construction is a CBC-MAC variant in which an input message is first MACed with standard CBC-MAC and then the resulting intermediate value is enciphered with one additional block ci- pher application. Rather than using a fixed key for the last block cipher application (as DMAC and ECBC do), RMAC enciphers the last block with a randomly chosen (but related) key. One immediate observation is that RMAC directly exposes the underlying block cipher to a weak form of related-key attacks [Bih93]. We are interested in attacks that do not exploit some related-key weakness of the underlying block cipher, but rather some property of the RMAC mode itself. -
Julius: Secure Mode of Operation for Authenticated Encryption Based on ECB and Finite Field Multiplications
Julius: Secure Mode of Operation for Authenticated Encryption Based on ECB and Finite Field Multiplications Lear Bahack∗ Submission to the CAESAR competition, version 1.0, March 2014 Gaius Julius Caesar, 100 BC – 44 BC. Source: Mcleclat, GNU, Creative Commons via Wikimedia Commons. ∗Weizmann Institute of Science, Rehovot, Israel. E-mail: [email protected] 1 Abstract We present two new blockcipher modes of operation for authenti- cated encryption with associated data, designed to achieve the maxi- mal possible security in case of misused IV, while being efficient as the Galois/Counter Mode (GCM). Both of the modes are provably secure up to the birthday bound, are suitable for both software and hard- ware, and are based on GF(2128) multiplications by a secret element of the field. The Julius-CTR mode can be viewed as a certain variation combin- ing the GCM, SIV and Unbalanced Feistel Network, while the Julius- ECB mode can be viewed as a certain variation of the Naor-Reingold mode. We specify two versions for each mode: a regular version and a compact version, having different ciphertexts redundancies. Sev- eral variants aimed to achieve increased security, parallelization, and efficiency are briefly explored. Based on the two Julius modes of operation and the AES-128 block- cipher, we propose a family of four specific algorithms for authenti- cated encryption with associated data to the CAESAR competition. 1 Introduction Symmetric key authenticated encryption (AE) is in a sense the most basic and fundamental usage of cryptography. Although today’s cryptography is far broader and contains complicated algorithms aiming to achieve other (more complicated) goals, the vast majority of applications use "compli- cated" cryptographic algorithms only in addition to a "basic" symmetric key AE algorithm. -
Algebraic Frameworks for Cryptographic Primitives
Algebraic Frameworks for Cryptographic Primitives by Navid Alamati A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy (Computer Science and Engineering) in the University of Michigan 2020 Doctoral Committee: Associate Professor Chris Peikert, Chair Professor Jeffrey Lagarias Professor Quentin Stout Professor Martin Strauss “It must be admitted that the use of geometric intuition has no logical necessity in mathematics, and is often left out of the formal presentation of results. If one had to construct a mathematical brain, one would probably use resources more efficiently than creating a visual system. But the system is there already, it is used to great advantage by human mathematicians, and it gives a special flavor to human mathematics.” David Ruelle [Conversations on Mathematics with a Visitor from Outer Space, 1998] Navid Alamati [email protected] ORCID iD: 0000-0001-8621-7486 2020 Acknowledgments Undoubtedly, I was more than fortunate to be advised by Chris Peikert. He has guided me during the past five years with unwavering patience and unparalleled percipience. No words can adequately describe my appreciation for him. I thank the other members of the committee—Jeffrey Lagarias, Quentin Stout, and Martin Strauss. I was lucky to be interned twice at Fujitsu Labs of America, during which I have had the chance of working with wonderful researchers—Arnab Roy, Hart Montgomery, and Sikhar Patranabis. I am grateful to Hart and Sikhar for the innumerable hours of discussion and the countless moments of wonder through which I tried to do research in cryptography. I am also thankful to Luca De Feo for being a great companion for an attempt on isogenies for dummies, one of whom has written this thesis. -
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 ......................... -
A New Approach in Expanding the Hash Size of MD5
374 International Journal of Communication Networks and Information Security (IJCNIS) Vol. 10, No. 2, August 2018 A New Approach in Expanding the Hash Size of MD5 Esmael V. Maliberan, Ariel M. Sison, Ruji P. Medina Graduate Programs, Technological Institute of the Philippines, Quezon City, Philippines Abstract: The enhanced MD5 algorithm has been developed by variants and RIPEMD-160. These hash algorithms are used expanding its hash value up to 1280 bits from the original size of widely in cryptographic protocols and internet 128 bit using XOR and AND operators. Findings revealed that the communication in general. Among several hashing hash value of the modified algorithm was not cracked or hacked algorithms mentioned above, MD5 still surpasses the other during the experiment and testing using powerful bruteforce, since it is still widely used in the domain authentication dictionary, cracking tools and rainbow table such as security owing to its feature of irreversible [41]. This only CrackingStation, Hash Cracker, Cain and Abel and Rainbow Crack which are available online thus improved its security level means that the confirmation does not need to demand the compared to the original MD5. Furthermore, the proposed method original data but only need to have an effective digest to could output a hash value with 1280 bits with only 10.9 ms confirm the identity of the client. The MD5 message digest additional execution time from MD5. algorithm was developed by Ronald Rivest sometime in 1991 to change a previous hash function MD4, and it is commonly Keywords: MD5 algorithm, hashing, client-server used in securing data in various applications [27,23,22]. -
A Matter of Security, Privacy and Trust
A matter of security, privacy and trust: A study of the principles and values of encryption in New Zealand Michael Dizon Ryan Ko Wayne Rumbles Patricia Gonzalez Philip McHugh Anthony Meehan Acknowledgements This study was funded by grants from the New Zealand Law Foundation and the University of Waikato. We would like to express our gratitude to our project collaborators and members of the Advisory Board – Prof Bert-Jaap Koops (Tilburg University), Prof Lyria Bennett Moses (UNSW Sydney), Prof Alana Maurushat (Western Sydney University), and Associate Professor Alex Sims (University of Auckland) – for their support as well as feedback on specific parts of this report. We would also like to thank Patricia Gonzalez, Joseph Graddy, Philip McHugh, Anthony Meehan, Jean Murray and Peter Upson for their valuable research assistance and other contributions to this study. Michael Dizon, Ryan Ko and Wayne Rumbles Principal investigators December 2019 Executive summary Cybersecurity is crucial for ensuring the safety and well-being of the general public, businesses, government, and the country as a whole. New Zealand has a reasonably comprehensive and well-grounded legal regime and strategy for dealing with cybersecurity matters. However, there is one area that deserves further attention and discussion – encryption. Encryption is at the heart of and underpins many of the technologies and technical processes used for computer and network security, but current laws and policies do not expressly cover this significant technology. The principal objective of this study is to identify the principles and values of encryption in New Zealand with a view to informing future developments of encryption- related laws and policies. -
Chapter 1. Introducing Cryptography and ICSF
z/OS Version 2 Release 3 Cryptographic Services Integrated Cryptographic Service Facility Overview IBM SC14-7505-06 Note Before using this information and the product it supports, read the information in “Notices” on page 83. This edition applies to ICSF FMID HCR77C0 and Version 2 Release 3 of z/OS (5650-ZOS) and to all subsequent releases and modifications until otherwise indicated in new editions. Last updated: 2019-06-24 © Copyright International Business Machines Corporation 1996, 2019. US Government Users Restricted Rights – Use, duplication or disclosure restricted by GSA ADP Schedule Contract with IBM Corp. Contents Figures................................................................................................................ vii Tables.................................................................................................................. ix About this information.......................................................................................... xi ICSF features............................................................................................................................................... xi Who should use this information................................................................................................................ xi How to use this information........................................................................................................................ xi Where to find more information.................................................................................................................xii -
Hashes, Macs & Authenticated Encryption Today's Lecture Hashes
Today’s Lecture • Hashes and Message Authentication Codes Hashes, MACs & • Properties of Hashes and MACs Authenticated Encryption • CBC-MAC, MAC -> HASH (slow), • SHA1, SHA2, SHA3 Tom Chothia • HASH -> MAC, HMAC ICS Lecture 4 • Authenticated Encryption – CCM Hashes Signatures l A hash of any message is a short string • Using RSA Epub(Dpriv(M)) = M generated from that message. • This can be used to sign messages. l The hash of a message is always the same. l Any small change makes the hash totally • Sign a message with the private key and this can be different. verified with the public key. l It is very hard to go from the hash to the message. • Any real crypto suite will not use the same key for encryption and signing. l It is very unlikely that any two different messages have the same hash. – as this can be used to trick people into decrypting. Signatures Uses of Hashing Alice has a signing key Ks • Download/Message verification and wants to sign message M Plain Text • Tying parts of a message together (hash the whole message) Detached Signature: Dks(#(M)) RSA decrypt with key ks SHA hash • Hash message, then sign the hash. • Protect Passwords Signed: M,Dks(#(M)) – Store the hash, not the password 1 Attacks on hashes Birthday Paradox • Preimage Attack: Find a message for a • How many people do you need to ask given hash: very hard. before you find 2 that have the same birthday? • Prefix Collision Attack: a collision attack where the attacker can pick a prefix for • 23 people, gives (23*22)/2 = 253 pairs. -
MD5 Collision Attack
MD5 Considered Harmful Today Creating a rogue CA certificate Alexander Sotirov New York, USA Marc Stevens CWI, Netherlands Jacob Appelbaum Noisebridge/Tor, SF Arjen Lenstra EPFL, Switzerland David Molnar UC Berkeley, USA Dag Arne Osvik EPFL, Switzerland Benne de Weger TU/e, Netherlands Introduction • International team of researchers ○ working on chosen-prefix collisions for MD5 • MD5 is still used by real CAs to sign SSL certificates today ○ MD5 has been broken since 2004 ○ theoretical CA attack published in 2007 • We used a MD5 collision to create a rogue Certification Authority ○ trusted by all major browsers ○ allows man-in-the-middle attacks on SSL Overview of the talk • Public Key Infrastructure • MD5 chosen-prefix collisions • Generating colliding certificates ○ on a cluster of 200 PlayStation 3’s • Impact • Countermeasures • Conclusion Live demo 1. Set your system date to August 2004 ○ intentional crippling of our demo CA ○ not a technical limit of the method itself 2. Connect to our wireless network ○ ESSID “MD5 Collisions Inc” 3. Connect to any secure HTTPS website ○ MITM attack ○ check the SSL certificate! Part I Public Key Infrastructure Overview of SSL • Wide deployment ○ web servers ○ email servers (POP3, IMAP) ○ many other services (IRC, SSL VPN, etc) • Very good at preventing eavesdropping ○ asymmetric key exchange (RSA) ○ symmetric crypto for data encryption • Man-in-the-middle attacks ○ prevented by establishing a chain of trust from the website digital certificate to a trusted Certificate Authority Certification Authorities (CAs) • Website digital certificates must be signed by a trusted Certificate Authority • Browsers ship with a list of trusted CAs ○ Firefox 3 includes 135 trusted CA certs • CAs’ responsibilities: ○ verify the identity of the requestor ○ verify domain ownership for SSL certs ○ revoke bad certificates Certificate hierarchy Obtaining certificates 1.