Hilbert quasi-polynomial for order domains and application to coding theory
Commutative Algebra
2018-02-05 v2 Information Theory
Combinatorics
math.IT
Abstract
We present an application of Hilbert quasi-polynomials to order domains, allowing the effective check of the second order-domain condition in a direct way. We also provide an improved algorithm for the computation of the related Hilbert quasi-polynomials. This allows to identify order domain codes more easily.
Cite
@article{arxiv.1607.07241,
title = {Hilbert quasi-polynomial for order domains and application to coding theory},
author = {Carla Mascia and Giancarlo Rinaldo and Massimiliano Sala},
journal= {arXiv preprint arXiv:1607.07241},
year = {2018}
}