Title :
Algebraic structure of quasicyclic codes
Author :
Lally, Kristine ; Fitzpatrick, Patrick
Author_Institution :
Dept. of Math., Nat. Univ. of Ireland, Cork, Ireland
Abstract :
We use Grobner bases of modules to construct and classify quasi-cyclic codes. Whereas previous studies have been mainly concerned with the 1-generator case, our results elucidate the structure of arbitrary quasi-cyclic codes and their duals. We include a complete characterisation of self-dual quasi-cyclic codes of index 2
Keywords :
algebraic codes; cyclic codes; dual codes; Grobner bases; algebraic structure; code construction; quasi-cyclic codes; self-dual codes; Decoding; Interpolation; Iron; Mathematics; Niobium; Polynomials; Reed-Solomon codes;
Conference_Titel :
Information Theory, 2000. Proceedings. IEEE International Symposium on
Conference_Location :
Sorrento
Print_ISBN :
0-7803-5857-0
DOI :
10.1109/ISIT.2000.866494
