Back to Search Start Over

Polycyclic codes as invariant subspaces.

Authors :
Shi, Minjia
Li, Xiaoxiao
Sepasdar, Zahra
Solé, Patrick
Source :
Finite Fields & Their Applications. Dec2020, Vol. 68, pN.PAG-N.PAG. 1p.
Publication Year :
2020

Abstract

Polycyclic codes are a powerful generalization of cyclic and constacyclic codes. Their algebraic structure is studied here by the theory of invariant subspaces from linear algebra. As an application, a bound on the minimum distance of these codes is derived which outperforms, in some cases, the natural analogue of the BCH bound. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10715797
Volume :
68
Database :
Academic Search Index
Journal :
Finite Fields & Their Applications
Publication Type :
Academic Journal
Accession number :
146483041
Full Text :
https://doi.org/10.1016/j.ffa.2020.101760