Hardware complexity of multipliers of extended Galois field in FPGA
Електронний науковий архів Науково-технічної бібліотеки Національного університету "Львівська політехніка"
Переглянути архів ІнформаціяПоле | Співвідношення | |
Title |
Hardware complexity of multipliers of extended Galois field in FPGA
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Creator |
Zholubak, Ivan
Hlukhov, Valeriy |
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Contributor |
Lviv Polytechnic National University
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Subject |
Galois fields GF(dm)
multiplier modified Guild cell LUT nucleus generator |
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Description |
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.. |
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Date |
2018-04-12T13:05:56Z
2018-04-12T13:05:56Z 2017-12-23 2017-12-23 |
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Type |
Conference Abstract
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Identifier |
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)).
978-966-941-108-2 http://ena.lp.edu.ua:8080/handle/ntb/40449 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)). |
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Language |
en
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Relation |
Litteris et Artibus : матеріали, 2017
Litteris et Artibus : proceedings, 2017 [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. [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. |
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Rights |
© Національний університет “Львівська політехніка”, 2017
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Format |
420-421
2 application/pdf image/png |
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Coverage |
23–25 листопада 2017 року
23–25 November, 2017 Львів Lviv |
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Publisher |
Видавництво Львівської політехніки
Lviv Polytechnic Publishing House |
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