Group LCD and group reversible LCD codes

نویسندگان

چکیده

In this paper, we give a new method for constructing LCD codes. We employ group rings and well known map that sends ring elements to subring of the n×n matrices obtain Our construction guarantees our codes are also codes, namely, ideals in ring. show with certain condition on element v, one can construct non-trivial Moreover, by adding more constraints reversible. present many examples binary which some optimal reversible different parameters.

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ژورنال

عنوان ژورنال: Finite Fields and Their Applications

سال: 2022

ISSN: ['1090-2465', '1071-5797']

DOI: https://doi.org/10.1016/j.ffa.2022.102079