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Title:
Constructions of self-orthogonal codes and LCD codes from functions over finite fields
Authors: Sihem Mesnager, Ahmet SINAK
Abstract:The construction of self-orthogonal codes from functions over finite fields has been widely studied in the literature. In this paper, we construct new families of self-orthogonal linear codes with few weights from trace functions and weakly regular plateaued functions over the finite fields of odd characteristics. We determine all parameters of the constructed self-orthogonal codes and their dual codes. Moreover, we employ the constructed p-ary self-orthogonal codes to construct p-ary LCD codes.
ePrint: https://eprint.iacr.org/2024/1860
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