Cyclic codes and minimal strong Gröbner bases over a principal ideal ring

Norton, G. H. and Salagean, A. (2003) Cyclic codes and minimal strong Gröbner bases over a principal ideal ring. Finite Fields and Their Applications, 9 2: 237-249. doi:10.1016/S1071-5797(03)00003-0


Author Norton, G. H.
Salagean, A.
Title Cyclic codes and minimal strong Gröbner bases over a principal ideal ring
Journal name Finite Fields and Their Applications   Check publisher's open access policy
ISSN 1071-5797
1090-2465
Publication date 2003-04
Sub-type Article (original research)
DOI 10.1016/S1071-5797(03)00003-0
Volume 9
Issue 2
Start page 237
End page 249
Total pages 13
Editor G.L. Mullen
Place of publication Orlando, Fla.
Publisher Academic Press
Language eng
Subject 01 Mathematical Sciences
C1
230103 Rings And Algebras
Abstract We characterise minimal strong Gröbner bases of R[x], where R is a commutative principal ideal ring and deduce a structure theorem for cyclic codes of arbitrary length over R. When R is an Artinian chain ring with residue field Image and Image , we recover a theorem for cyclic codes of length n over R due to Calderbank and Sloane for Image .
Keyword Mathematics, Applied
Mathematics
Galois Rings
Q-Index Code C1

 
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Created: Wed, 11 Feb 2009, 10:58:16 EST by Ms Sarada Rao on behalf of School of Mathematics & Physics