Some sufficient conditions for $ (\mathcal{A*B})^\perp $ with an error-correcting pair $ (\mathcal{A},\mathcal{B}) $
Year: 2025
Type: article
Abstract: As a general algebraic decoding method for linear codes, the $ t $-error-correcting pair can correct up to $ t $ errors in polynomial times. Based on two fixed linear codes $ \mathcal{A} $ and $ \mathcal{B} $, we gave some sufficient conditions such that $ (\mathcal{A*B})^\perp $ is either an MDS or AMDS linear code, and $ (\mathcal{A}, \mathcal{B}) $ is a $ t $-error-correcting pair for $ (\mathcal{A*B})^\perp $. Furthermore, some corresponding examples were given based on TGRS codes.
DOI: 10.3934/amc.2025042
Authors: Zhaohui Zhang, Dong He, Qunying Liao
Institution: Sichuan Normal University
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7081956451