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Duals of linearized Reed–Solomon codes.
- Source :
- Designs, Codes & Cryptography; Jan2023, Vol. 91 Issue 1, p241-271, 31p
- Publication Year :
- 2023
-
Abstract
- We give a description of the duals of linearized Reed–Solomon codes in terms of codes obtained by taking residues of Ore rational functions. Our construction shows in particular that, under some assumptions on the base field, the class of linearized Reed–Solomon codes is stable under duality. As a byproduct of our work, we develop a theory of residues in the Ore setting, extending the results of [7]. [ABSTRACT FROM AUTHOR]
- Subjects :
- REED-Solomon codes
REED-Muller codes
ORES
Subjects
Details
- Language :
- English
- ISSN :
- 09251022
- Volume :
- 91
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Designs, Codes & Cryptography
- Publication Type :
- Academic Journal
- Accession number :
- 161191947
- Full Text :
- https://doi.org/10.1007/s10623-022-01102-7