Infinitary Quasigroups
Belousov D. Valentin, Stojaković M. Zoran (1976)
Zbornik Radova
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Belousov D. Valentin, Stojaković M. Zoran (1976)
Zbornik Radova
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V. D. Belousov, M. Hosszú (1964)
Matematički Vesnik
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(1971)
Acta Universitatis Carolinae. Mathematica et Physica
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Jaroslav Ježek, Tomáš Kepka (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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B. P. Alimpić (1979)
Publications de l'Institut Mathématique
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Mileva, Aleksandra (2010)
Mathematica Balkanica New Series
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AMS Subj. Classification: Primary 20N05, Secondary 94A60 The intention of this research is to justify deployment of quasigroups in cryptography, especially with new quasigroup based cryptographic hash function NaSHA as a runner in the First round of the ongoing NIST SHA-3 competition. We present new method for fast generation of huge quasigroup operations, based on the so-called extended Feistel networks and modification of the Sade’s diagonal method. We give new design of...
Czesław Kościelny (2002)
International Journal of Applied Mathematics and Computer Science
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A method of generating a practically unlimited number of quasigroups of a (theoretically) arbitrary order using the computer algebra system Maple 7 is presented. This problem is crucial to cryptography and its solution permits to implement practical quasigroup-based endomorphic cryptosystems. The order of a quasigroup usually equals the number of characters of the alphabet used for recording both the plaintext and the ciphertext. From the practical viewpoint, the most important quasigroups...
Grzegorz Bińczak, Joanna Kaleta (2007)
Discussiones Mathematicae - General Algebra and Applications
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It is known that (ℤₙ,-ₙ) are examples of entropic quasigroups which are not groups. In this paper we describe the table of characters for quasigroups (ℤₙ,-ₙ).