| 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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| PDF Download Page |  PDF download Page Link |
| 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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| Conference Information | |
| Committee | SITE |
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| Conference Date | 2006/7/13(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Social Implications of Technology and Information Ethics (SITE) |
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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) | 174 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |