Presentation | 2006-07-20 An Improved Mehtod for the Table Lookup Multiplication Algorithm over GF (2^m) Yoichi HADAMA, Daisuke NAKAMURA, Masanori HIROTOMO, Masakatu MORII, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | As effective arithmetic methods in the finite field GF(2^m), M.A. Hasan has presented a look-up table-based algorithm for GF(2^m) multiplication. In Hasan's method, the number of memory access and the table size are depend on the form of the irreducible polynomial which is used in the GF(2^m) multiplication. In this paper, we propose a lookup-up table-based algorithm which can be performed as an efficient GF(2^m) multiplication using the irreducible polynomial which has m degree and m terms. In this method, the algorithm is performed as the multiplication modulo quadnomial which is obtained by the irreducible polynomial which has m degree and m terms. Using this method, the number of memory access and the table size in the algorithm is smaller than that in Hasan's method, and GF(2^m) multiplication is faster than Hasan's method. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | finite field / multiplication algorithm / look-up table / irreducible polynomial which has m degree and m terms |
Paper # | ISEC2006-22,SITE2006-19 |
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Committee | ISEC |
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Conference Date | 2006/7/13(1days) |
Place (in Japanese) | (See Japanese page) |
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Paper Information | |
Registration To | Information Security (ISEC) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | An Improved Mehtod for the Table Lookup Multiplication Algorithm over GF (2^m) |
Sub Title (in English) | |
Keyword(1) | finite field |
Keyword(2) | multiplication algorithm |
Keyword(3) | look-up table |
Keyword(4) | irreducible polynomial which has m degree and m terms |
1st Author's Name | Yoichi HADAMA |
1st Author's Affiliation | Graduate School of Science and Technology, Kobe University() |
2nd Author's Name | Daisuke NAKAMURA |
2nd Author's Affiliation | Graduate School of Science and Technology, Kobe University |
3rd Author's Name | Masanori HIROTOMO |
3rd Author's Affiliation | Hyogo Institute of Information Education Foundation |
4th Author's Name | Masakatu MORII |
4th Author's Affiliation | Faculty of Engineering, Kobe University |
Date | 2006-07-20 |
Paper # | ISEC2006-22,SITE2006-19 |
Volume (vol) | vol.106 |
Number (no) | 175 |
Page | pp.pp.- |
#Pages | 8 |
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