Improved Decoding Algorithms for MDS and Almost-MDS Codes From Twisted GRS Codes

In this paper, firstly, we study decoding of a general class of twisted generalized Reed-Solomon (TGRS) codes and provide a precise characterization of the key equation for TGRS codes and propose a decoding algorithm. Secondly, we further study decoding of almost-MDS TGRS codes and provide a decodin...

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Bibliographic Details

Published in:	IEEE transactions on information theory Vol. 71; no. 10; pp. 7688 - 7698
Main Authors:	Wang, Guodong, Liu, Hongwei, Luo, Jinquan
Format:	Journal Article
Language:	English
Published:	IEEE 01.10.2025
Subjects:	almost-MDS code Codes Decoding decoding algorithm Finite element analysis Generators Linear codes MDS code Polynomials Reed-Solomon codes Sun Training Twisted generalized Reed-Solomon code twisted Goppa code Vectors
ISSN:	0018-9448, 1557-9654
Online Access:	Get full text
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