| Presentation | 2004/5/20 An Algorithm Using Look-Up Table Based on Extended Euclid's Algorithm for Computing Inversion in GF(2^m) Katsuki KOBAYASHI, Naofumi TAKAGI, Kazuyoshi TAKAGI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, an algorithm using look-up table based on extended Euclid's algorithm for computing inversion in GF(2^m) is proposed. In this algorithm, operations corresponding to several contiguous iterations of the conventional algorithm are represented in an array. To speed up the computation, this array is precomputed and stored in a look-up table. An inverter in GF(2^m) based in this algorithm has a the number of XOR stages reduced. Moreover, the processing time of a multiple-precision inversion over GF(2^m) in software implementation can be reduced using a w × (w + l)-bit multiplier over GF(2^m). |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Galois field / extended Euclid's algorithm / inversion / look-up table |
| Paper # | VLD2004-2 |
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| Conference Information | |
| Committee | VLD |
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| Conference Date | 2004/5/20(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | VLSI Design Technologies (VLD) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | An Algorithm Using Look-Up Table Based on Extended Euclid's Algorithm for Computing Inversion in GF(2^m) |
| Sub Title (in English) | |
| Keyword(1) | Galois field |
| Keyword(2) | extended Euclid's algorithm |
| Keyword(3) | inversion |
| Keyword(4) | look-up table |
| 1st Author's Name | Katsuki KOBAYASHI |
| 1st Author's Affiliation | Department of Information Engineering, Graduate School of Information Science, Nagoya University() |
| 2nd Author's Name | Naofumi TAKAGI |
| 2nd Author's Affiliation | Department of Information Engineering, Graduate School of Information Science, Nagoya University |
| 3rd Author's Name | Kazuyoshi TAKAGI |
| 3rd Author's Affiliation | Department of Information Engineering, Graduate School of Information Science, Nagoya University |
| Date | 2004/5/20 |
| Paper # | VLD2004-2 |
| Volume (vol) | vol.104 |
| Number (no) | 78 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |