Counting irreducible Goppa codes

被引：1

作者：

Fitzpatrick, P ^{[1
]}

Ryan, JA ^{[1
]}

机构：

[1] Natl Univ Ireland Univ Coll Cork, Dept Math, Cork, Ireland

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 2001年 / 71卷

关键词：

classical Goppa codes; enumeration;

D O I：

10.1017/S1446788700002949

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider irreducible Goppa codes of length q(m) over F-q defined by polynomials of degree r, where q = p(t) and p, m, r are distinct primes. The number of such codes, inequivalent under coordinate permutations and field automorphisms, is determined.

引用

页码：299 / 305

页数：7

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