The parameters of a family of linear codes
Information Theory
2019-03-20 v1 math.IT
Abstract
A large family of linear codes with flexible parameters from almost bent functions and perfect nonlinear functions are constructed and their parameters are determined. Some constructed linear codes and their related codes are optimal in the sense that they meet certain bounds on linear codes. Applications of these codes in secret sharing schemes and combinational designs are presented.
Keywords
Cite
@article{arxiv.1903.03720,
title = {The parameters of a family of linear codes},
author = {Weiqiong Wang and Yan Wang},
journal= {arXiv preprint arXiv:1903.03720},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1607.04815 by other authors