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arXiv 2107.02446cs.ITmath.IT
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两类新的双权投射线性码

Two new classes of projective two-weight linear codes

Canze Zhu, Qunying Liao

摘要:

对奇素数$p$,利用定义集构造了有限域$\mathbb{F}_p$上的几类双权线性码,并利用特征和确定了它们的完全权分布.这些代码可以适用于秘密共享方案的应用。在此基础上,得到了两类新的双权投射码,进而得到了两类新的强正则图。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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