Extended Irreducible Binary Sextic Goppa Codes

被引：4
|
作者：
Huang, Daitao [1 ,2 ]
Yue, Qin [2 ,3 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Coll Comp Sci & Technol, Nanjing 211100, Peoples R China
[2] State Key Lab Cryptol, Beijing 100878, Peoples R China
[3] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211100, Peoples R China
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2022年 / 68卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Binary Goppa codes; extended Goppa codes; equivalent; Act on Group;
D O I：
10.1109/TIT.2021.3116659
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Let n(> 3) be a prime number and F-2n a finite field of 2n elements. Let L = F-2n boolean OR {infinity} be the support set and g(x) an irreducible polynomial of degree 6 over F-2n. In this paper, we obtain an upper bound on the number of extended irreducible binary Goppa codes Gamma(L, g) of degree 6 and length 2(n) + 1.
引用
收藏
页码：230 / 237
页数：8
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