Name
Title | ||
|---|---|---|
Relations between the local weight distributions of a linear block code, its extended code, and its even weight subcode |
Abstract | ||
|---|---|---|
Relations between the local weight distributions of a binary linear code, its extended code, and its even weight subcode are presented. In particular, for a code of which the extended code is transitive invariant and contains only codewords with weight multiples of four, the local weight distribution can be obtained from that of the extended code. Using the relations, the local weight distributions of the (127, k) primitive BCH codes for k � 50, the (127, 64) punctured third-order Reed-Muller , and their even weight subcodes are obtained from the local weight distribution of the (128, k) extended primitive BCH codes for k � 50 and the (128, 64) third-order Reed-Muller code. We also show an approach to improve an algorithm for computing the local weight distribution proposed before. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1109/ISIT.2005.1523360 | international symposium on information theory |
Keywords | Field | DocType |
BCH codes,Reed-Muller codes,binary codes,block codes,linear codes,(127, 64) punctured third-order Reed-Muller,(127, k) extended primitive BCH codes,(128, 64) third-order Reed-Muller code,binary linear code,even weight subcode,extended code,linear block code,local weight distributions,transitive invariant | Discrete mathematics,Combinatorics,Constant-weight code,Systematic code,Ternary Golay code,Polynomial code,Linear code,Weight distribution,Universal code,Mathematics,Dual code | Journal |
Volume | ISBN | Citations |
abs/cs/050 | 0-7803-9151-9 | 1 |
PageRank | References | Authors |
0.35 | 5 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kenji Yasunagaand | 1 | 1 | 0.35 |
| Toru Fujiwara | 2 | 23 | 7.41 |