Two classes of quasi-cyclic codes via irreducible polynomials

被引：0
|
作者：
Huang, Daitao [1 ,4 ]
Yue, Qin [2 ,4 ]
Li, Fengwei [3 ,4 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Coll Comp Sci & Technol, Nanjing 211100, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211100, Peoples R China
[3] Zaozhuang Univ, Sch Math & Stat, Zaozhuang 277160, Peoples R China
[4] State Key Lab Cryptol, POB 5159, Beijing 100878, Peoples R China
来源：
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES | 2023年 / 15卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Irreducible polynomials; Quasi-cyclic codes; Group action; GOPPA CODES;
D O I：
10.1007/s12095-023-00629-3
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Let Fq(2) be a finite field of order q(2)(= 2(2m)). In this paper, we find a class of irreducible polynomials g(x) = x(q+1) + ax(q) + bx + c over Fq(2) such that we can construct quasi-cyclic codes with permutation groups Z/(q + 1) and Z/(2q + 2), respectively.
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页码：649 / 659
页数：11
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