A NOTE ON THE KERNEL OF TRACE OVER FINITE FIELDS

被引：0
|
作者：
Jin, Yong [1 ]
Jiang, Jing-jing [1 ]
Shen, Lin-zhi [1 ]
机构：
[1] Civil Aviat Univ China, Coll Sci, Tianjin, Peoples R China
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2023年 / 24卷 / 02期
关键词：
Finite field; linear code; kinearized polynomial; trace; LINEARIZED POLYNOMIALS; HAMMING WEIGHTS; CODES; NUMBER; ROOTS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
To decide dim(ker(L) n ker(Tr)) from the perspective of the coeffi-cients of a linearized polynomial L, we turn the problem into considering about the kernel of another linearized polynomial L-1. In a more algebraic way, we solve this problem in the case the coefficients of L belong to the prime subfield, and classes of linearized polynomials Ls can be given such that dim(ker(L) n ker(Tr)) = s for a given s.
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页码：251 / 259
页数：9
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