New advances in permutation decoding of first-order Reed-Muller codes

نویسندگان

چکیده

In this paper we describe a variation of the classical permutation decoding algorithm that can be applied to any affine-invariant code with respect certain type information sets. particular, apply it family first-order Reed-Muller codes sets introduced in [2]. Using improve considerably number errors correct comparison known results topic.

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ژورنال

عنوان ژورنال: Finite Fields and Their Applications

سال: 2023

ISSN: ['1090-2465', '1071-5797']

DOI: https://doi.org/10.1016/j.ffa.2023.102182