English

A note on the Singleton bounds for codes over finite rings

Information Theory 2016-11-29 v1 math.IT

Abstract

In this paper, we give a notation on the Singleton bounds for linear codes over a finite commutative quasi-Frobenius ring in the work of Shiromoto [5]. We show that there exists a class of finite commutative quasi-Frobenius rings. The Singleton bounds for linear codes over such rings satisfy d(C)1AnlogRC. \frac{d(C)-1}{A}\leq n-\log_{|R|}|C|.

Keywords

Cite

@article{arxiv.1611.09058,
  title  = {A note on the Singleton bounds for codes over finite rings},
  author = {Yongsheng Tang and Heqian Xu and Zhonghua Sun},
  journal= {arXiv preprint arXiv:1611.09058},
  year   = {2016}
}
R2 v1 2026-06-22T17:06:07.817Z