DocumentCode
68671
Title
A Generalized Construction and Improvements on Nonbinary Codes From Goppa Codes
Author
Tomlinson, M. ; Jibril, Mubarak ; Tjhai, Cen ; Bezzateev, Sergey V. ; Grassl, Markus ; Ahmed, M.Z.
Author_Institution
Sch. of Comput. & Math., Univ. Of Plymouth, Plymouth, UK
Volume
59
Issue
11
fYear
2013
fDate
Nov. 2013
Firstpage
7299
Lastpage
7304
Abstract
We present an efficient construction of extended length Goppa codes. Using this construction, we obtain 78 new nonbinary codes with better minimum distance than the previously known codes with the same length and dimension. The construction is based on the observation that certain Goppa codes can be seen as BCH codes.
Keywords
BCH codes; Goppa codes; BCH codes; extended length Goppa codes; generalized construction; nonbinary codes; Educational institutions; Electronic mail; Parity check codes; Polynomials; Redundancy; Vectors; BCH; Goppa; Reed–Solomon; error correction;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2013.2276626
Filename
6574242
Link To Document