DocumentCode
2024010
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
fYear
2007
fDate
24-29 June 2007
Firstpage
856
Lastpage
860
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory, 2007. ISIT 2007. IEEE International Symposium on
Conference_Location
Nice
Print_ISBN
978-1-4244-1397-3
Type
conf
DOI
10.1109/ISIT.2007.4557331
Filename
4557331
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