The construction and weight distributions of all projective binary linear codes
Information Theory
2020-10-12 v2 Combinatorics
math.IT
Abstract
Boolean functions can be used to construct binary linear codes in many ways, and vice versa. The objective of this short article is to point out a connection between the weight distributions of all projective binary linear codes and the Walsh spectra of all Boolean functions. New research problems are also proposed.
Keywords
Cite
@article{arxiv.2010.03184,
title = {The construction and weight distributions of all projective binary linear codes},
author = {Cunsheng Ding},
journal= {arXiv preprint arXiv:2010.03184},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1511.00321