A Class of Balanced Laws on Quasigroups (I)
Branka P. Alimpić (1976)
Zbornik Radova
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Branka P. Alimpić (1976)
Zbornik Radova
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Belousov D. Valentin, Stojaković M. Zoran (1976)
Zbornik Radova
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Ján Duplák (1988)
Czechoslovak Mathematical Journal
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V.D. Belousov, Z.M. Stojakovic (1973)
Publications de l'Institut Mathématique [Elektronische Ressource]
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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...
Tomáš Kepka, Michael K. Kinyon, Jon D. Phillips (2010)
Commentationes Mathematicae Universitatis Carolinae
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In Kepka T., Kinyon M.K., Phillips J.D., , , we showed that every loop isotopic to an F-quasigroup is a Moufang loop. Here we characterize, via two simple identities, the class of F-quasigroups which are isotopic to groups. We call these quasigroups FG-quasigroups. We show that FG-quasigroups are linear over groups. We then use this fact to describe their structure. This gives us, for instance, a complete description of the simple FG-quasigroups. Finally, we show an equivalence of equational...