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  • Quasigroups are a well-known combinatorial design equivalent to more familiar Latin squares. Because all possible elements of a quasigroup occur with equal probability, it makes it an interesting tool for the application in computer security and for production of pseudorandom sequences. Most implementations of quasigroups are based on look-up table of the quasigroup, on system of distinct representatives etc. Such representations are infeasible for large quasigroups. An analytic quasigroup is a recent concept that allows usage of certain quasigroups without the need of look-up table. The concept of isotopy enables consideration of many quasigroups and genetic algorithms allow efficient search for good ones. In this paper we describe analytic quasigroup and genetic algorithms for its optimization.
  • Quasigroups are a well-known combinatorial design equivalent to more familiar Latin squares. Because all possible elements of a quasigroup occur with equal probability, it makes it an interesting tool for the application in computer security and for production of pseudorandom sequences. Most implementations of quasigroups are based on look-up table of the quasigroup, on system of distinct representatives etc. Such representations are infeasible for large quasigroups. An analytic quasigroup is a recent concept that allows usage of certain quasigroups without the need of look-up table. The concept of isotopy enables consideration of many quasigroups and genetic algorithms allow efficient search for good ones. In this paper we describe analytic quasigroup and genetic algorithms for its optimization. (en)
Title
  • Evolving Quasigroups by Genetic Algorithms
  • Evolving Quasigroups by Genetic Algorithms (en)
skos:prefLabel
  • Evolving Quasigroups by Genetic Algorithms
  • Evolving Quasigroups by Genetic Algorithms (en)
skos:notation
  • RIV/61989100:27240/10:86077407!RIV13-GA0-27240___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA205/09/1079)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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  • 258062
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27240/10:86077407
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  • Genetic Algorithms; Quasigroups (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [08A7127D3F35]
http://linked.open...v/mistoKonaniAkce
  • Štědronín - Plazy, ĎR
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  • Praha
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  • CEUR Workshop Proceedings. Volume 567
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http://linked.open...vavai/riv/projekt
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  • Abraham Padath, Ajith
  • Dvorský, Jiří
  • Krömer, Pavel
  • Ochodková, Eliška
  • Platoš, Jan
  • Snášel, Václav
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http://linked.open.../riv/zahajeniAkce
issn
  • 1613-0073
number of pages
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  • MATFYZPRESS
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  • 978-80-7378-116-3
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  • 27240
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