Generalized Hamming weights of q-ary Reed-Muller codes

Generalized Hamming weights of q-ary Reed-Muller codes
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DOI:
10.1109/isit.1997.613295
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发表时间:
1997-06
期刊:
Proceedings of IEEE International Symposium on Information Theory
影响因子:
--
通讯作者:
P. Heijnen;R. Pellikaan
P. Heijnen;R. Pellikaan
中科院分区:
其他
文献类型:
--
作者:
P. Heijnen;R. Pellikaan

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本文在一个包含几何Goppa码和q元Reed-Muller码的一般簇上的码集合中引入了广义Hamming重量的阶界。它表明,这是尖锐的后者。
The order bound on generalized Hamming weights is introduced in a general setting of codes on varieties which comprises both the geometric Goppa codes as the q-ary Reed-Muller codes. It is shown that this bound is sharp for the latter.