Results 111 to 120 of about 1,878 (148)

Quasigroup algebras

open access: yesMathematische Zeitschrift, 1962
openaire   +2 more sources

Equational Quantum Quasigroups

Algebras and Representation Theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jonathan D. H. Smith
semanticscholar   +2 more sources

A study of public key cryptosystems based on quasigroups

Cryptologia, 2022
A public-key cryptosystem is the undoubted spine of present-day communication systems. Many mathematical theories like number theory, group theory, and ring theory were utilized to design various cryptographic protocols.
Satish Kumar, Indivar Gupta, Ashok Gupta
semanticscholar   +1 more source

Factorizations of Hopf quasigroups

Publicationes mathematicae (Debrecen), 2022
In this paper we introduce the notion of factorization in the Hopf quasigroup setting and we prove that, if $A$ and $H$ are Hopf quasigroups such that their antipodes are isomorphisms, a Hopf quasigroup $X$ admits a factorization as $X=AH$ iff $X$ is ...
R. G. Rodr'iguez
semanticscholar   +1 more source

Cryptographic symmetric structures based on quasigroups

IACR Cryptology ePrint Archive, 2022
In our paper we study the effect of changing the commutative group operation used in Feistel and Lai-Massey symmetric structures into a quasigroup operation.
George Teşeleanu
semanticscholar   +1 more source

Construction of cryptographically strong S-boxes from ternary quasigroups of order 4

Cryptologia, 2021
The security of block ciphers solely depends on the S-boxes used in their design. Hence, for a secure block cipher, S-boxes should be chosen very thoughtfully.
Dimpy Chauhan   +3 more
semanticscholar   +1 more source

Generation of n-quasigroups by proper families of functions

Discrete Mathematics and Applications
Finite quasigroups and n-quasigroups are a promising platform for cryptoalgorithm implementation. One of the key problems consists in memory-efficient generation of wide classes of n-quasigroups of a large order.
A. V. Galatenko   +3 more
semanticscholar   +1 more source

Polynomial completeness and completeness of finite n-quasigroups

Quasigroups And Related Systems
Finite quasigroups and n-quasigroups are currently extensively utilized to implement various cryptographic functions. Cryptographic requirements lead to constraints imposed on quasigroups and n-quasigroups. In particular, V. A.
Svetlana Chaplygina, Alexei Galatenko
semanticscholar   +1 more source

Quasigroups and their applications in cryptography

Cryptologia, 2020
Quasigroups have wide applications in coding theory and cryptography. We present a brief survey on quasigroups and discuss their applications in designing various cryptographic primitives including block cipher, stream cipher, hash function, public-key ...
Dimpy Chauhan   +2 more
semanticscholar   +1 more source

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