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Please use this identifier to cite or link to this item: https://oldena.lpnu.ua/handle/ntb/40449
Title: Hardware complexity of multipliers of extended Galois field in FPGA
Authors: Zholubak, Ivan
Hlukhov, Valeriy
Affiliation: Lviv Polytechnic National University
Bibliographic description (Ukraine): Zholubak 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)).
Bibliographic description (International): Zholubak 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)).
Is part of: Litteris et Artibus : матеріали, 2017
Litteris et Artibus : proceedings, 2017
Conference/Event: 7th International youth science forum «Litteris et Artibus»
Journal/Collection: Litteris et Artibus : матеріали
Issue Date: 23-Dec-2017
Publisher: Видавництво Львівської політехніки
Lviv Polytechnic Publishing House
Place of the edition/event: Львів
Lviv
Temporal Coverage: 23–25 листопада 2017 року
23–25 November, 2017
Keywords: Galois fields GF(dm)
multiplier
modified Guild cell
LUT
nucleus generator
Number of pages: 2
Page range: 420-421
Start page: 420
End page: 421
Abstract: In 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..
URI: https://ena.lpnu.ua/handle/ntb/40449
ISBN: 978-966-941-108-2
Copyright owner: © Національний університет “Львівська політехніка”, 2017
References (Ukraine): [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.
[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.
[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.
[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.
[5] Cherkaskiy М. V., Tkachuk Т. І. Harakteristiky skladnosty pristroyiv mnozhenna // Radioelectronni ta komputerni systemy. – 2012. – No. 5. – 142 – 147 p.
References (International): [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.
[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.
[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.
[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.
[5] Cherkaskiy M. V., Tkachuk T. I. Harakteristiky skladnosty pristroyiv mnozhenna, Radioelectronni ta komputerni systemy, 2012, No. 5, 142 – 147 p.
Content type: Conference Abstract
Appears in Collections:Litteris et Artibus. – 2017 р.

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