源自斜多项式的代数中序的商及其在编码理论中的应用
环与代数
2021-04-13 v2
摘要
我们描述了作为数域上广义非结合循环可除代数中自然非结合序的商而出现的非结合有限幺环族。这些自然序已被用于系统地构造全分集快速可解码空时分组码。我们展示了如何将自然序的商用于陪集编码。Oggier 和 Sethuraman 涉及结合循环可除代数中序的商的先前结果被作为特例获得。
引用
@article{arxiv.1609.04201,
title = {Quotients of orders in algebras obtained from skew polynomials with applications to coding theory},
author = {Susanne Pumpluen},
journal= {arXiv preprint arXiv:1609.04201},
year = {2021}
}
备注
The title changed from "Quotients of orders in algebras obtained from skew polynomials and possible applications" to "Quotients of orders in algebras obtained from skew polynomials with applications to coding theory". This version contains some minor corrections of the previous one, mostly typos