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We present an explicit formula that produces hash collisions for the Merkle-Damg{\aa}rd construction. The formula works for arbitrary choice of message block and irrespective of the standardized constants used in hash functions, although…

Cryptography and Security · Computer Science 2018-09-03 Andrew Brockmann

In the recent years, several practical methods have been published to compute collisions on some commonly used hash functions. In this paper we present a method to take into account, at the symbolic level, that an intruder actively…

Cryptography and Security · Computer Science 2007-05-23 Yannick Chevalier , Mounira Kourjieh

We define new families of Tillich-Z\'emor hash functions, using higher dimensional special linear groups over finite fields as platforms. The Cayley graphs of these groups combine fast mixing properties and high girth, which together give…

Cryptography and Security · Computer Science 2024-08-26 Corentin Le Coz , Christopher Battarbee , Ramón Flores , Thomas Koberda , Delaram Kahrobaei

Hash functions are a basic cryptographic primitive. Certain hash functions try to prove security against collision and preimage attacks by reductions to known hard problems. These hash functions usually have some additional properties that…

Cryptography and Security · Computer Science 2021-08-11 Juan Carlos Garcia-Escartin , Vicent Gimeno , Julio José Moyano-Fernández

In 1991, Z\'emor proposed a hash function which provides data security using the difficulty of writing a given matrix as a product of generator matrices. Tillich and Z\'emor subsequently provided an algorithm finding short collisions for…

Group Theory · Mathematics 2025-11-21 Eilidh McKemmie , Amol Srivastava

cryptographic hash function is a deterministic procedure that compresses an arbitrary block of numerical data and returns a fixed-size bit string. There exist many hash functions: MD5, HAVAL, SHA, ... It was reported that these hash…

Cryptography and Security · Computer Science 2011-11-23 Rene Ndoundam , Juvet Karnel Sadie

Cayley hash functions are based on a simple idea of using a pair of (semi)group elements, $A$ and $B$, to hash the 0 and 1 bit, respectively, and then to hash an arbitrary bit string in the natural way, by using multiplication of elements…

Group Theory · Mathematics 2016-04-20 Lisa Bromberg , Vladimir Shpilrain , Alina Vdovina

In this paper we discuss the problem of generically finding near-collisions for cryptographic hash functions in a memoryless way. A common approach is to truncate several output bits of the hash function and to look for collisions of this…

Cryptography and Security · Computer Science 2012-10-10 Mario Lamberger , Elmar Teufl

Hyperplane hashing aims at rapidly searching nearest points to a hyperplane, and has shown practical impact in scaling up active learning with SVMs. Unfortunately, the existing randomized methods need long hash codes to achieve reasonable…

Machine Learning · Computer Science 2012-06-22 Wei Liu , Jun Wang , Yadong Mu , Sanjiv Kumar , Shih-Fu Chang

Cross-modal hashing still has some challenges needed to address: (1) most existing CMH methods take graphs as input to model data distribution. These methods omit to consider the correlation of graph structure among multiple modalities; (2)…

Computer Vision and Pattern Recognition · Computer Science 2022-02-10 Lu Wang , Jie Yang , Masoumeh Zareapoor , Zhonglong Zheng

Hashing has been widely used for efficient similarity search based on its query and storage efficiency. To obtain better precision, most studies focus on designing different objective functions with different constraints or penalty terms…

Data Structures and Algorithms · Computer Science 2018-10-02 Xingbo Liu , Xiushan Nie , Yilong Yin

Modern cryptographic protocols rely on sophisticated hash functions to generate quasi-unique numbers that serve as signatures for user authentication and other security verifications. The security could be compromised by finding texts…

Quantum Physics · Physics 2022-10-25 Jiheng Duan , Minghui Li , Hou Ian

We propose a hash function based on arithmetic coding and public-key cryptography. The resistance of the hash function to second preimage attack, collision and differential cryptanalysis is based on the properties of arithmetic coding as a…

Cryptography and Security · Computer Science 2015-03-17 Rene Ndoundam , Juvet Karnel Sadie , Patrick Nguening Nguembu

We present here new mechanisms for hashing data via binary embeddings. Contrary to most of the techniques presented before, the embedding matrix of our mechanism is highly structured. That enables us to perform hashing more efficiently and…

Data Structures and Algorithms · Computer Science 2015-05-14 Krzysztof Choromanski

We revisit the classical problem of designing optimally efficient cryptographically secure hash functions. Hash functions are traditionally designed via applying modes of operation on primitives with smaller domains. The results of…

Cryptography and Security · Computer Science 2021-05-24 Elena Andreeva , Rishiraj Bhattacharyya , Arnab Roy

Hashing is a basic tool for dimensionality reduction employed in several aspects of machine learning. However, the perfomance analysis is often carried out under the abstract assumption that a truly random unit cost hash function is used,…

Machine Learning · Statistics 2017-11-27 Søren Dahlgaard , Mathias Bæk Tejs Knudsen , Mikkel Thorup

We examine the contribution of general Z*ZH and gamma*ZH three-point interactions arising from new physics to the Higgs production process e+e- -> HZ. From Lorentz covariance, each of these vertices may be written in terms of three…

High Energy Physics - Phenomenology · Physics 2010-04-15 Saurabh D. Rindani , Pankaj Sharma

Hash functions map data of arbitrary length to data of predetermined length. Good hash functions are hard to predict, making them useful in cryptography. We are interested in the elliptic curve CGL hash function, which maps a bitstring to…

Cryptography and Security · Computer Science 2021-08-17 Dhruv Bhatia , Kara Fagerstrom , Maximillian Watson

In this paper, a renewable, multi-use, multi-secret sharing scheme for general access structure based on one-way collision resistant hash function is presented in which each participant has to carry only one share. By applying…

Cryptography and Security · Computer Science 2019-07-09 Angsuman Das , Avishek Adhikari

Classically in combinatorics on words one studies unavoidable regularities that appear in sufficiently long strings of symbols over a fixed size alphabet. In this paper we take another viewpoint and focus on combinatorial properties of long…

Formal Languages and Automata Theory · Computer Science 2011-08-19 Juha Kortelainen
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