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.

引用

页码：251 / 259

页数：9

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