| Presentation | 2013-03-07 Constructions of A Large Class of Optimum Linear Constant Weight Codes Masao KASAHARA, Shigeichi HIRASAWA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A new method of constructing optimum linear constant weight codes based on various generalization of (u, u+v) construction. We have presented a new method of constructing superimposed code C^<(h_1,h_2…,h_1)>_<(s_1,s_2,…,s_1)> and presented a large class of optimum linear constant weight codes. We present large classes of optimum linear constant weight codes for k=2 and k=3 for n≦128. We also present optimum linear constant weight codes that meet BV bound given k=2, 3, 4,5 and 6, for n≦128. The author would like to present the following conjecture: ・C^(h1)_(s1) given in this paper yields the optimum linear constant weight code at the code-length n=3h_1, number of information symbols k=2 and minimum distance d=2h_1 for any h_1. ・C^<(h1)>_<(s1)> yields the optimum linear constant weight code at n=7h_1, k=3 and d=4h_1 for any h_1. ・Code C^<(h1,h2…,h1)>_<(s1,s2,…,s1)> yields optimum linear constant weight code of length n=2^k-2, number of information symbols k and minimum distance d=2^ |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Optimum code / Constant weight code / Brouwer-Verhoef bound / (u,n+v) construction |
| Paper # | IT2012-70,ISEC2012-88,WBS2012-56 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2013/2/28(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 Security (ISEC) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Constructions of A Large Class of Optimum Linear Constant Weight Codes |
| Sub Title (in English) | |
| Keyword(1) | Optimum code |
| Keyword(2) | Constant weight code |
| Keyword(3) | Brouwer-Verhoef bound |
| Keyword(4) | (u,n+v) construction |
| 1st Author's Name | Masao KASAHARA |
| 1st Author's Affiliation | Research Institute for Science and Engineerging, Waseda University.() |
| 2nd Author's Name | Shigeichi HIRASAWA |
| 2nd Author's Affiliation | Research Institute for Science and Engineerging, Waseda University. |
| Date | 2013-03-07 |
| Paper # | IT2012-70,ISEC2012-88,WBS2012-56 |
| Volume (vol) | vol.112 |
| Number (no) | 461 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |