Galois hulls of constacyclic codes over finite fields

被引：6
作者：
Debnath, Indibar [1 ]
Prakash, Om [1 ]
Islam, Habibul [1 ]
机构：
[1] Indian Inst Technol Patna, Dept Math, Patna 801106, Bihar, India
来源：
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES | 2023年 / 15卷 / 01期
关键词：
Constacyclic codes; Galois inner product; Galois hulls; Cyclotomic polynomials; LCD codes; SELF-DUAL CODES; AVERAGE DIMENSION; PERMUTATION;
D O I：
10.1007/s12095-022-00591-6
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper presents a formula for the dimension of Galois hulls of constacyclic codes. For this, we have arranged the irreducible factors of x(n) - lambda over the finite field F-q in a suitable way. Also, considering some restrictions on q, the number of constacyclic codes of length n over F-q is calculated for a given Galois hull dimension.
引用
收藏
页码：111 / 127
页数：17
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