DocumentCode
755852
Title
Bounds on the Minimum Distance of Goppa Codes
Author
Maharaj, Hiren
Author_Institution
Dept. of Math. Sci., Clemson Univ., Clemson, SC
Volume
54
Issue
7
fYear
2008
fDate
7/1/2008 12:00:00 AM
Firstpage
3256
Lastpage
3259
Abstract
A general upper bound on the minimum distance of Goppa codes is given. It is also shown how to choose divisors so that Goppa codes from fiber products of Kummer covers of the projective line have substantially improved lower bounds for the minimum distance compared to the usual Goppa bound.
Keywords
Goppa codes; Goppa bound; Goppa codes; Kummer covers; fiber products; minimum distance; Code standards; Linearity; National security; Upper bound; Algebraic-geometry codes; minimum distance bounds;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2008.924664
Filename
4544976
Link To Document