Hardware complexity of multipliers of extended Galois field in FPGA

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dc.citation.conference7th International youth science forum «Litteris et Artibus»
dc.citation.epage421
dc.citation.journalTitleLitteris et Artibus : матеріали
dc.citation.spage420
dc.contributor.affiliationLviv Polytechnic National University
dc.contributor.authorZholubak, Ivan
dc.contributor.authorHlukhov, Valeriy
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.coverage.temporal23–25 листопада 2017 року
dc.coverage.temporal23–25 November, 2017
dc.date.accessioned2018-04-12T13:05:56Z
dc.date.available2018-04-12T13:05:56Z
dc.date.created2017-12-23
dc.date.issued2017-12-23
dc.description.abstractIn this paper, the implamantation of matrix multiplier of the Galois fields with basics 2, 3, 7, 13 and the analysis of the implementation of multipliers with a higher basis on the FPGA Xilinx Virtex-7 is considered. It is shown that the smallest hardware costs will be in multiplier of Galois fields with a base 3, 29% less than in binary fields. For the implementation of the Guild cells with a large foundation, the core generator of the modified Guild cells was implemented..
dc.format.extent420-421
dc.format.pages2
dc.identifier.citationZholubak I. Hardware complexity of multipliers of extended Galois field in FPGA / Ivan Zholubak, Valeriy Hlukhov // Litteris et Artibus : proceedings, 23–25 November, 2017. — Lviv : Lviv Polytechnic Publishing House, 2017. — P. 420–421. — (9th International academic conference «Computer science & engineering 2017» (CSE-2017)).
dc.identifier.citationenZholubak I. Hardware complexity of multipliers of extended Galois field in FPGA / Ivan Zholubak, Valeriy Hlukhov // Litteris et Artibus : proceedings, 23–25 November, 2017. — Lviv : Lviv Polytechnic Publishing House, 2017. — P. 420–421. — (9th International academic conference «Computer science & engineering 2017» (CSE-2017)).
dc.identifier.isbn978-966-941-108-2
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/40449
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Polytechnic Publishing House
dc.relation.ispartofLitteris et Artibus : матеріали, 2017
dc.relation.ispartofLitteris et Artibus : proceedings, 2017
dc.relation.references[1] І. М. Zholubak, А. T. Kostik, V. S. Hlukhov. Osoblivosti opracuvanna elementiv triykovih poliv Galua na suchasniy elementniy bazy// Visnik Nacionalnoho universitetu “Lvivska politehnika” “Komputerni systemy ta merezhi”. – Lviv: – 2015. – Vip. 830. – p. 27 – 33.
dc.relation.references[2] І. М. Zholubak, V. S. Hlukhov. Viznachenna rozshirenoho pola Galua GF(dm) z naymenshoyou aparatnoyou skladnistu pomnozhuvacha // Visnik Nacionalnoho universitetu “Lvivska politehnika” “Informaciyni systemy ta merezhi”. – Lviv: – 2016. – Vip. 835. – p. 50 – 58.
dc.relation.references[3] І. М. Zholubak, V. S. Hlukhov. Aparatni vitraty pomnozhuvachiv poliv Galua GF(dm) z velikoyou osnovoyou // Visnik Nacionalnoho universitetu “Lvivska politehnika” “Computerni nauky ta informaciyni tehnologiyi”. – Lviv: – 2017.
dc.relation.references[4] Hlukhov V. S., Elias Р. М. Zmenshenna structurnoyi skladnosty bagatosekciynih pomnozhuvachiv elementiv poliv Galua // Electrotehnichni ta computerni systemy.– 2015.– №19 (95).– p. 222–226.
dc.relation.references[5] Cherkaskiy М. V., Tkachuk Т. І. Harakteristiky skladnosty pristroyiv mnozhenna // Radioelectronni ta komputerni systemy. – 2012. – No. 5. – 142 – 147 p.
dc.relation.referencesen[1] I. M. Zholubak, A. T. Kostik, V. S. Hlukhov. Osoblivosti opracuvanna elementiv triykovih poliv Galua na suchasniy elementniy bazy// Visnik Nacionalnoho universitetu "Lvivska politehnika" "Komputerni systemy ta merezhi", Lviv: – 2015, Vip. 830, p. 27 – 33.
dc.relation.referencesen[2] I. M. Zholubak, V. S. Hlukhov. Viznachenna rozshirenoho pola Galua GF(dm) z naymenshoyou aparatnoyou skladnistu pomnozhuvacha, Visnik Nacionalnoho universitetu "Lvivska politehnika" "Informaciyni systemy ta merezhi", Lviv: – 2016, Vip. 835, p. 50 – 58.
dc.relation.referencesen[3] I. M. Zholubak, V. S. Hlukhov. Aparatni vitraty pomnozhuvachiv poliv Galua GF(dm) z velikoyou osnovoyou, Visnik Nacionalnoho universitetu "Lvivska politehnika" "Computerni nauky ta informaciyni tehnologiyi", Lviv: – 2017.
dc.relation.referencesen[4] Hlukhov V. S., Elias R. M. Zmenshenna structurnoyi skladnosty bagatosekciynih pomnozhuvachiv elementiv poliv Galua, Electrotehnichni ta computerni systemy, 2015, No 19 (95), p. 222–226.
dc.relation.referencesen[5] Cherkaskiy M. V., Tkachuk T. I. Harakteristiky skladnosty pristroyiv mnozhenna, Radioelectronni ta komputerni systemy, 2012, No. 5, 142 – 147 p.
dc.rights.holder© Національний університет “Львівська політехніка”, 2017
dc.subjectGalois fields GF(dm)
dc.subjectmultiplier
dc.subjectmodified Guild cell
dc.subjectLUT
dc.subjectnucleus generator
dc.titleHardware complexity of multipliers of extended Galois field in FPGA
dc.typeConference Abstract

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