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
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2013.2276626
