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Generalized hamming weights for linear codes (2001).
| Content Provider | CiteSeerX |
|---|---|
| Author | Ortiz, Estefan Urdapilleta, Alicia |
| Abstract | Error control codes are widely used to increase the reliability of transmission of information over various forms of communications channels. The Hamming weight of a codeword is the number of nonzero entries in the word; the weights of the words in a linear code determine the error-correcting capacity of the code. The rth generalized Hamming weight for a linear code C, denoted by dr(C), is the minimum of the support sizes for r-dimensional subcodes of C. For instance, d1(C) equals the traditional minimum Hamming weight of C. In 1991, Feng, Tzeng, and Wei proved that the second generalized Hamming weight d2(C) = 8 for all double-error correcting BCH(2m, 5) codes. We study d3(C) and higher Hamming weights for BCH(2m, 5) codes by a close examination of the words of weight 5. 1 |
| File Format | |
| Publisher Date | 2001-01-01 |
| Access Restriction | Open |
| Subject Keyword | Hamming Weight Linear Code Communication Channel R-dimensional Subcodes Nonzero Entry Traditional Minimum Hamming Weight Error-correcting Capacity Double-error Correcting Bch Second Generalized Hamming Weight D2 Close Examination Error Control Code Various Form |
| Content Type | Text |
