AI Chat AI Image Generator AI Video Text to Speech

Symbol-pair Weight Distributions of Some Linear Codes

11/06/2019

∙

by Junru Ma, et al.

∙

∙

In this paper, we investigate the symbol-pair weight distributions of MDS codes and simplex codes over finite fields. Furthermore, the result shows that all the nonzero codewords of simplex codes have the same symbol b-weight and rearrangement entries of codewords in simplex code may induce different symbol-pair weight. In addition, the symbol b-weight distributions of variation simplex codes over certain finite fields are derived.

Junru Ma
6 publications
Jinquan Luo
23 publications

page 1

page 2

page 3

page 4

research

∙ 11/19/2021

A new class of MDS symbol-pair codes

The symbol-pair code is a new coding framework proposed to guard against...

0 Canze Zhu, et al. ∙

research

∙ 11/25/2021

A Characterization of MDS Symbol-pair Codes over Two Types of Alphabets

Symbol-pair codes are block codes with symbol-pair metrics designed to p...

0 Xilin Tang, et al. ∙

research

∙ 02/06/2020

Generalized Pair Weights of Linear Codes and MacWilliams Extension Theorem

In this paper, we introduce the notion of generalized pair weights of an...

0 Hongwei Liu, et al. ∙

research

∙ 09/19/2020

Differential Codes on Higher Dimensional Varieties Via Grothendieck's Residue Symbol

We give a new construction of linear codes over finite fields on higher ...

0 David Grant, et al. ∙

research

∙ 06/07/2022

The b-symbol weight distributions of all semiprimitive irreducible cyclic codes

Up to a new invariant μ(b), the complete b-symbol weight distribution of...

0 Gerardo Vega, et al. ∙

research

∙ 07/04/2021

The b-weight distribution for MDS codes

For a positive integer b≥2, the b-symbol code is a new coding framework ...

0 Canze Zhu, et al. ∙

research

∙ 09/27/2021

Unit-Weight Laplacians are Complete for Linear Systems Modulo p

In this paper, we prove that over finite fields modulo primes, solving g...

0 Yufan Huang, et al. ∙