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Refined bounds for ring-linear codes

Title data

Byrne, Eimear ; Greferath, Marcus ; Kohnert, Axel ; Skachek, Vitaly:
Refined bounds for ring-linear codes.
In: International Workshop on Optimal Codes and Related Topics : proceedings. - Varna, Bulgaria , 2009 . - pp. 55-61

Official URL: Volltext

Abstract in another language

We give further results on the question of code optimality for linear codes over finite Frobenius rings for the homogeneous weight. This article improves on the existing Plotkin bound derived in an earlier paper [4], and suggests a version of a Singleton bound. We also present some families of codes meeting these new bounds.

Further data

Item Type: Article in a book
Refereed: Yes
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra)
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 21 Jan 2015 15:27
Last Modified: 27 Jan 2015 13:08
URI: https://eref.uni-bayreuth.de/id/eprint/5788