A kind of extended codes of linear codes C with respect to a vector u , denoted by C(u), was introduced by Sun, Ding and Chen (2024) [58]. In this paper, we investigate the weight distribution of the extended codes C(...
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A kind of extended codes of linear codes C with respect to a vector u , denoted by C(u), was introduced by Sun, Ding and Chen (2024) [58]. In this paper, we investigate the weight distribution of the extended codes C(u) of projective two-weight codes Cover finite fields. As a by-product, several families of linear codes with a few weights are presented, and six infinite families of distance-optimal linear codes are constructed in this paper. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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