Codes from symmetric polynomials
Information Theory
2022-10-27 v3 Algebraic Geometry
math.IT
Abstract
We define and study a class of Reed-Muller type error-correcting codes obtained from elementary symmetric functions in finitely many variables. We determine the code parameters and higher weight spectra in the simplest cases.
Cite
@article{arxiv.2201.01930,
title = {Codes from symmetric polynomials},
author = {Mrinmoy Datta and Trygve Johnsen},
journal= {arXiv preprint arXiv:2201.01930},
year = {2022}
}