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The error-correcting pair for TGRS codes.
- Source :
-
Discrete Mathematics . Sep2023, Vol. 346 Issue 9, pN.PAG-N.PAG. 1p. - Publication Year :
- 2023
-
Abstract
- Twisted generalized Reed-Solomon codes are the generalization of generalized Reed-Solomon codes, due to their good algebraic structure and applications in cryptography, which have been widely studied in recent years. As a general algebraic decoding method for linear codes, the error-correcting pair exists in many classical linear codes. In this paper, we extend the error-correcting pair to twisted generalized Reed-Solomon codes. For twisted generalized Reed-Solomon codes with twist 1 or 2, we constructively show that the existence of the error-correcting pair. Moreover, we introduce the corresponding decoding procedure of twisted generalized Reed-Solomon codes by ℓ -error-correcting pairs and give several examples. [ABSTRACT FROM AUTHOR]
- Subjects :
- *REED-Solomon codes
*LINEAR codes
*DECODING algorithms
Subjects
Details
- Language :
- English
- ISSN :
- 0012365X
- Volume :
- 346
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 164109957
- Full Text :
- https://doi.org/10.1016/j.disc.2023.113497