https://oldena.lpnu.ua/handle/ntb/40454| Title: | The research of multiplication in the ternary Galois fields |
| Authors: | Kostyk, Andrii Hlukhov, Valerii Berezko, Leonid |
| Affiliation: | Lviv Polytechnic National University |
| Bibliographic description (Ukraine): | Kostyk A. The research of multiplication in the ternary Galois fields / Andrii Kostyk, Valerii Hlukhov, Leonid Berezko // Litteris et Artibus : proceedings, 23–25 November, 2017. — Lviv : Lviv Polytechnic Publishing House, 2017. — P. 432–433. — (9th International academic conference «Computer science & engineering 2017» (CSE-2017)). |
| Bibliographic description (International): | Kostyk A. The research of multiplication in the ternary Galois fields / Andrii Kostyk, Valerii Hlukhov, Leonid Berezko // Litteris et Artibus : proceedings, 23–25 November, 2017. — Lviv : Lviv Polytechnic Publishing House, 2017. — P. 432–433. — (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 field GF(2m) Mathematical package Maple Galois field GF(3m) |
| Number of pages: | 2 |
| Page range: | 432-433 |
| Start page: | 432 |
| End page: | 433 |
| Abstract: | The research of multiplication in the ternary Galois fields Calculation and finding irreducible polynomials for Galois field GF(pm). Consider the proposed method of construction serial ternary multiplier element Galois field GF (3m). |
| URI: | https://ena.lpnu.ua/handle/ntb/40454 |
| ISBN: | 978-966-941-108-2 |
| Copyright owner: | © Національний університет “Львівська політехніка”, 2017 |
| References (Ukraine): | [1] Steininger A., Serra M., Reconfigurable Hardware Implementation of Polynomial Arithmetic over the Finite Field GF(3), Wien, December, 30, pp. 88, 2006. [2] V. S. Hlukhov, R. M. Elias, A. O. Melnyk, “Osoblyvosti realizatsii na PLIS sektsiinykh pomnozhuvachiv elementiv poliv Halua GF(2m) z nadvelykym stepenem”, Kompiuterno-intehrovani tekhnolohii, Lutsk №12., 103 – 106 st., 2013. [3] Merchan J. G. Arithmetic Architectures for Finite Fields GF(pm) with Cryptographic Applications. Bochum, pp. 221, May, 2004. [4] T. Berko, V. Hlukhov, “Perevirka prystroiv dlia obrobky tsyfrovykh pidpysiv, shcho gruntuiutsia na eliptychnykh kryvykh”, Naukovo-sotsialnyi zhurnal «Tekhnichni novyny», orhan Ukrainskoho inzhenernoho tovarystva u Lvovi, 1, 53-57 st., 26, 2007. [5] Deschamps J.P., Imana J.L, Gustavo D., Hardware Implementation of Finite-Field Arithmetic. 2009 The McGraw-Hill Companies, Inc. [6] Hlukhov V.S., Kostyk A.T., Vykorystannia suchasnykh PLIS dlia opratsiuvannia elementiv poliv Halua (pq). Tezy dlia 9-toi nauk. konf. KhUPS.,178 st., kviten 2013. |
| References (International): | [1] Steininger A., Serra M., Reconfigurable Hardware Implementation of Polynomial Arithmetic over the Finite Field GF(3), Wien, December, 30, pp. 88, 2006. [2] V. S. Hlukhov, R. M. Elias, A. O. Melnyk, "Osoblyvosti realizatsii na PLIS sektsiinykh pomnozhuvachiv elementiv poliv Halua GF(2m) z nadvelykym stepenem", Kompiuterno-intehrovani tekhnolohii, Lutsk No 12., 103 – 106 st., 2013. [3] Merchan J. G. Arithmetic Architectures for Finite Fields GF(pm) with Cryptographic Applications. Bochum, pp. 221, May, 2004. [4] T. Berko, V. Hlukhov, "Perevirka prystroiv dlia obrobky tsyfrovykh pidpysiv, shcho gruntuiutsia na eliptychnykh kryvykh", Naukovo-sotsialnyi zhurnal "Tekhnichni novyny", orhan Ukrainskoho inzhenernoho tovarystva u Lvovi, 1, 53-57 st., 26, 2007. [5] Deschamps J.P., Imana J.L, Gustavo D., Hardware Implementation of Finite-Field Arithmetic. 2009 The McGraw-Hill Companies, Inc. [6] Hlukhov V.S., Kostyk A.T., Vykorystannia suchasnykh PLIS dlia opratsiuvannia elementiv poliv Halua (pq). Tezy dlia 9-toi nauk. konf. KhUPS.,178 st., kviten 2013. |
| Content type: | Conference Abstract |
| Appears in Collections: | Litteris et Artibus. – 2017 р. |
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2017_Kostyk_A-The_research_of_multiplication_432-433.pdf | 196.05 kB | Adobe PDF | View/Open | |
| 2017_Kostyk_A-The_research_of_multiplication_432-433__COVER.png | 1.12 MB | image/png | View/Open |
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