Some constructions of linearly optimal group codes

1Citations
Citations of this article
2Readers
Mendeley users who have this article in their library.
Get full text

Abstract

We continue here the research on (quasi)group codes over (quasi)group rings. We give some constructions of [n, n - 3, 3]q-codes over Fqfor n = 2 q and n = 3 q. These codes are linearly optimal, i.e. have maximal dimension among linear codes having a given length and distance. Although codes with such parameters are known, our main results state that we can construct such codes as (left) group codes. In the paper we use a construction of Reed-Solomon codes as ideals of the group ring FqG where G is an elementary abelian group of order q. © 2010 Elsevier Inc. All rights reserved.

Cite

CITATION STYLE

APA

Couselo, E., González, S., Markov, V., Martínez, C., & Nechaev, A. (2010). Some constructions of linearly optimal group codes. Linear Algebra and Its Applications, 433(2), 356–364. https://doi.org/10.1016/j.laa.2010.03.002

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free