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Equational Quantum Quasigroups
Algebras and Representation TheoryzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jonathan D. H. Smith
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A study of public key cryptosystems based on quasigroups
Cryptologia, 2022A 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
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Factorizations of Hopf quasigroups
Publicationes mathematicae (Debrecen), 2022In 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
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Cryptographic symmetric structures based on quasigroups
IACR Cryptology ePrint Archive, 2022In 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
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Construction of cryptographically strong S-boxes from ternary quasigroups of order 4
Cryptologia, 2021The 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
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Generation of n-quasigroups by proper families of functions
Discrete Mathematics and ApplicationsFinite 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
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Polynomial completeness and completeness of finite n-quasigroups
Quasigroups And Related SystemsFinite 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
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Quasigroups and their applications in cryptography
Cryptologia, 2020Quasigroups 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
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