Hardware complexity of multipliers of extended Galois field in FPGA

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

Files

Original bundle

Now showing 1 - 2 of 2
Thumbnail Image
Name:
2017_Zholubak_I-Hardware_complexity_of_420-421.pdf
Size:
95.78 KB
Format:
Adobe Portable Document Format
Thumbnail Image
Name:
2017_Zholubak_I-Hardware_complexity_of_420-421__COVER.png
Size:
561.63 KB
Format:
Portable Network Graphics

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.96 KB
Format:
Plain Text
Description: