| Presentation | 2003/9/10 An Algorithm for Computing the Local Distance Profile of Binary Linear Codes Closed under a Group of Permutations Kenji YASUNAGA, Toru FUJIWARA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We propose an algorithm for computing the local distance profile of binary linear codes which are closed under a group of permutations. An invariance property is used in the algorithm, which is an extension of the invariance property used in a known algorithm for binary cyclic codes. To use the extended invariance property, the proposed algorithm regards the code as the set of cosets of a subcode. The set of cosets are partitioned into equivalence classes by the invariance property. Only the local distance subprofile for the representative coset in each equivalence class is computed. We apply the algorithm to the (128, k) extended primitive BCH codes, and obtain the local distance profile of codes for k ≦43. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Local distance profile / zero neighbor / invariance property / coset / extended primitive BCH code |
| Paper # | IT2003-47 |
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| Conference Information | |
| Committee | IT |
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| Conference Date | 2003/9/10(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Information Theory (IT) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | An Algorithm for Computing the Local Distance Profile of Binary Linear Codes Closed under a Group of Permutations |
| Sub Title (in English) | |
| Keyword(1) | Local distance profile |
| Keyword(2) | zero neighbor |
| Keyword(3) | invariance property |
| Keyword(4) | coset |
| Keyword(5) | extended primitive BCH code |
| 1st Author's Name | Kenji YASUNAGA |
| 1st Author's Affiliation | Graduate School of Information Science and Technology, Osaka University() |
| 2nd Author's Name | Toru FUJIWARA |
| 2nd Author's Affiliation | Graduate School of Information Science and Technology, Osaka University |
| Date | 2003/9/10 |
| Paper # | IT2003-47 |
| Volume (vol) | vol.103 |
| Number (no) | 308 |
| Page | pp.pp.- |
| #Pages | 5 |
| Date of Issue | |