Number theoretical locally recoverable codes

被引：0

作者：

Ferraguti, Andrea ^{[1
]}

Goldfeld, Dorian ^{[2
]}

Micheli, Giacomo ^{[3
]}

机构：

[1] Univ Brescia, DICATAM, Via Branze 43, I-25123 Brescia, Italy

[2] Columbia Univ, 2990 Broadway, New York, NY 10027 USA

[3] Univ S Florida, Ctr Cryptog Res, 4202 E Fowler Ave, Tampa, FL 33620 USA

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年 / 23卷 / 07期

关键词：

Locally recoverable codes; algebraic number fields; Chebotarev density theorem; CONSTRUCTIONS;

D O I：

10.1142/S0219498825500604

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give constructions for infinite sequences of finite nonlinear locally recoverable codes ?subset of Pi i=1N</mml:msubsup>?<mml:msub> qi over a product of finite fields arising from basis expansions in algebraic number fields. The codes in our sequences have increasing length and size, constant rate, fixed locality, and minimum distance going to infinity.

引用

页数：13

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