DocumentCode :
53863
Title :
A Generalized Construction of Extended Goppa Codes
Author :
Jibril, Mubarak ; Bezzateev, Sergey V. ; Tomlinson, M. ; Grassl, Markus ; Ahmed, M.Z.
Author_Institution :
Nigerian Commun. Satellite Ltd., Abuja, Nigeria
Volume :
60
Issue :
9
fYear :
2014
fDate :
Sept. 2014
Firstpage :
5296
Lastpage :
5303
Abstract :
We present a generalized construction of extended length Goppa codes. Using this construction, we obtain 71 new codes in finite field Fq for q = 4, 7, 8, 9 with better minimum distance than the previously known codes with the same length and dimension.
Keywords :
Goppa codes; extended length Goppa codes; finite field; generalized construction; Educational institutions; Electronic mail; Linear codes; Parity check codes; Polynomials; Redundancy; 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.2014.2330814
Filename :
6834829
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=53863
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