| Presentation | 1998/1/21 A Redundant Basis for Fast Iterative Multiplication on GF (2^m) and a Parallel Multiplier Based on It S. Taira, N. Takagi, Y. Iwadare, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A new basis called redundant basis and a parallel multiplier based on it are proposed for fast iterative multiplication on GF (2^m). The proposed basis cosists of n (>m) elements, while usual bases consist of m elements. Since multiplication and squaring are performed very fast over it, the basis is efficient for powering and multiplicative inversion which require these operations iteratively. The proposed parallel multiplier has a very regular structure, and therefore, it is suitable for VLSI implementation. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | multiplication on finite fields / powering on finite fields / multiplicative inversion on finite fields / hardware algorithm / redundant representation / VLSI |
| Paper # | COMP97-83 |
| Date of Issue |
| Conference Information | |
| Committee | COMP |
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| Conference Date | 1998/1/21(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Theoretical Foundations of Computing (COMP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Redundant Basis for Fast Iterative Multiplication on GF (2^m) and a Parallel Multiplier Based on It |
| Sub Title (in English) | |
| Keyword(1) | multiplication on finite fields |
| Keyword(2) | powering on finite fields |
| Keyword(3) | multiplicative inversion on finite fields |
| Keyword(4) | hardware algorithm |
| Keyword(5) | redundant representation |
| Keyword(6) | VLSI |
| 1st Author's Name | S. Taira |
| 1st Author's Affiliation | Graduate School of Engineering, Nagoya University() |
| 2nd Author's Name | N. Takagi |
| 2nd Author's Affiliation | Graduate School of Engineering, Nagoya University |
| 3rd Author's Name | Y. Iwadare |
| 3rd Author's Affiliation | Graduate School of Engineering, Nagoya University |
| Date | 1998/1/21 |
| Paper # | COMP97-83 |
| Volume (vol) | vol.97 |
| Number (no) | 483 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |