Title :
Some Open Problems on Quasi-Twisted and Related Code Constructions and Good Quaternary Codes
Author :
Aydin, N. ; Asamov, T. ; Gulliver, T.A.
Author_Institution :
Kenyon Coll., Gambier
Abstract :
One of the most important and challenging problems in coding theory is to construct codes with the best possible parameters. Quasi-cyclic (QC) and the larger class of quasi- twisted (QT) codes have been proven to contain many good codes (with best-known parameters). In this paper, we review some open problems concerning these codes, introduce generalizations of QT codes, and suggest some constructions involving QT codes. We also present some new and good quaternary codes.
Keywords :
cyclic codes; coding theory; quasicyclic codes; quasitwisted codes; quaternary codes; Algebra; Databases; Educational institutions; Galois fields; Hamming distance; Linear code; Mathematics; Vectors; Quaternary codes; new bounds; quasi-twisted codes;
Conference_Titel :
Information Theory, 2007. ISIT 2007. IEEE International Symposium on
Conference_Location :
Nice
Print_ISBN :
978-1-4244-1397-3
DOI :
10.1109/ISIT.2007.4557331
