Back to Search Start Over

Additive cyclic codes over mixed alphabets and the football pool problem.

Authors :
Abualrub, Taher
Aydin, N.
Source :
Discrete Mathematics, Algorithms & Applications. Feb2017, Vol. 9 Issue 1, p-1. 13p.
Publication Year :
2017

Abstract

Motivated by a generalization of the football pool problem, we introduce additive cyclic codes over mixed alphabets of the form where , for distinct primes . We study their algebraic properties, generating sets, and duals. Additionally, we give examples of additive cyclic codes over the alphabet that have best-known or optimal parameters. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*CYCLIC codes
*ALPHABETS
*ADDITIVE functions
*FOOTBALL
*HAMMING distance

Details

Language :
English
ISSN :
17938309
Volume :
9
Issue :
1
Database :
Academic Search Index
Journal :
Discrete Mathematics, Algorithms & Applications
Publication Type :
Academic Journal
Accession number :
121123940
Full Text :
https://doi.org/10.1142/S1793830917500100
Full Text Access
View/download PDF

Tools

Authors Abstract Subjects Details