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Weight distribution of a class of cyclic codes of length $2^n$
2019
Journal:  
Journal of Algebra Combinatorics Discrete Structures and Applications
Author:  
DOI:  
10.13069/jacodesmath.505364
Abstract:

Let $\mathbb{F}_q$ be a finite field with $q$ elements and $n$ be a positive integer. In this paper, we determine the weight distribution of a class cyclic codes of length $2^n$ over $\mathbb{F}_q$ whose parity check polynomials are either binomials or trinomials with $2^l$ zeros over $\mathbb{F}_q$, where integer $l\ge 1$. In addition, constant weight and two-weight linear codes are constructed when $q\equiv3\pmod 4$.

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2019
Journal:  
Journal of Algebra Combinatorics Discrete Structures and Applications
Author:  
DOI:  
10.13069/jacodesmath.505364
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Journal of Algebra Combinatorics Discrete Structures and Applications

Field :   Fen Bilimleri ve Matematik; Mühendislik

Journal Type :   Uluslararası

Metrics
Article : 169
Cite : 4
Details
Journal of Algebra Combinatorics Discrete Structures and Applications