On perfect p-ary codes of length p + 1

被引：0
|
作者：
Olof Heden
机构：
[1] KTH,Department of Mathematics
来源：
Designs, Codes and Cryptography | 2008年 / 46卷
关键词：
Perfect codes; Redei Theorem; 94B25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let p be a prime number and assume p ≥ 5. We will use a result of L. Redéi to prove, that every perfect 1-error correcting code C of length p + 1 over an alphabet of cardinality p, such that C has a rank equal to p and a kernel of dimension p − 2, will be equivalent to some Hamming code H. Further, C can be obtained from H, by the permutation of the symbols, in just one coordinate position.
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页码：45 / 56
页数：11
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