Infinite families of minimal binary codes via Krawtchouk polynomials

ePrint Report: Infinite families of minimal binary codes via Krawtchouk polynomials

Xiaoni Du, René Rodríguez, Hao Wu

Linear codes play a crucial role in various fields of engineering and mathematics, including data storage, communication, cryptography, and combinatorics. Minimal linear codes, a subset of linear codes, are particularly essential for designing effective secret sharing schemes. In this paper, we introduce several classes of minimal binary linear codes by carefully selecting appropriate Boolean functions. These functions belong to a renowned class of …

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