The content discusses the construction of self-orthogonal codes from vectorial dual-bent functions. It explores the significance of linear codes in coding theory, detailing methods based on cryptographic functions. The paper presents new families of q-ary self-orthogonal codes and their weight distributions, highlighting applications in quantum codes and LCD codes. Various propositions and results related to linear codes, Hamming bounds, quantum codes, and character sums are discussed. Theorems are presented to demonstrate the properties of the constructed self-orthogonal codes.
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by Jiaxin Wang,... at arxiv.org 03-20-2024
https://arxiv.org/pdf/2403.12578.pdfDeeper Inquiries