Two new classes of projective two-weight linear codes

DOI10.1016/J.FFA.2023.102186arXiv2107.02446MaRDI QIDQ6372077

Qunying Liao, Canze Zhu

Publication date: 6 July 2021

Abstract: In this paper, for an odd prime $p$, several classes of two-weight linear codes over the finite field $mathbb{F}_p$ are constructed from the defining sets, and then their complete weight distributions are determined by employing character sums. These codes can be suitable for applications in secret sharing schemes. Furthermore, two new classes of projective two-weight codes are obtained, and then two new classes of strongly regular graphs are given.

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Association schemes, strongly regular graphs (05E30) Cryptography (94A60)

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