| Presentation | 2017-09-08 On the weight distributions of the binary codes obtained from Reed-Solomon codes over GF(2^m) Tshihisa Nishijima, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this report, we give a necessary and sufficient condition for symmetry of the weight distribution of the binary linear code obtained from the Reed-Solomon code over GF(2^m). Then, using this condition, we identify the family of Reed-Solomon codes that the weight distribution of the expanded binary linear code becomes symmetric. Furthermore, by analogy with the result obtained, we consider how symmetric structures in the binary weight distribution are represented by complete weight enumerator and try to define the symmetric structure of complete weight enumerator. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Reed-Solomon code / binary weight distribution / complete weight enumerator / maximum distance separable code / Hamming weight distribution / symmetry |
| Paper # | IT2017-40 |
| Date of Issue | 2017-09-01 (IT) |
| Conference Information | |
| Committee | IT |
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| Conference Date | 2017/9/8(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Centcore Yamaguchi Hotel |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | error correcting codes, general |
| Chair | Masayoshi Ohashi(Fukuoka Univ.) |
| Vice Chair | Jun Muramatsu(NTT) |
| Secretary | Jun Muramatsu(Yokohama College of Commerce) |
| Assistant | Sigeaki Kuzuoka(wakayama univ.) |
| Paper Information | |
| Registration To | Technical Committee on Information Theory |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On the weight distributions of the binary codes obtained from Reed-Solomon codes over GF(2^m) |
| Sub Title (in English) | |
| Keyword(1) | Reed-Solomon code |
| Keyword(2) | binary weight distribution |
| Keyword(3) | complete weight enumerator |
| Keyword(4) | maximum distance separable code |
| Keyword(5) | Hamming weight distribution |
| Keyword(6) | symmetry |
| 1st Author's Name | Tshihisa Nishijima |
| 1st Author's Affiliation | Hosei University(Hosei Univ.) |
| Date | 2017-09-08 |
| Paper # | IT2017-40 |
| Volume (vol) | vol.117 |
| Number (no) | IT-208 |
| Page | pp.pp.11-14(IT), |
| #Pages | 4 |
| Date of Issue | 2017-09-01 (IT) |