汉明码的权重分布
信息论
2007-10-09 v1 math.IT
数论
作者:
Dae San Kim
摘要
当 (m, q-1)=1 时,我们推导了确定 [n=(q^m-1)/(q-1), n-m, 3] 汉明码 H(m,q) 权重分布的递归公式。其中 q 为素数幂。证明基于 Moisio 利用 Pless 幂矩恒等式结合指数和技术的思想。
引用
@article{arxiv.0710.1467,
title = {Weight Distributions of Hamming Codes},
author = {Dae San Kim},
journal= {arXiv preprint arXiv:0710.1467},
year = {2007}
}
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