有限域上多项式特征和的魏尔界的改进

Cryptography and Communications Pub Date : 2024-03-06 DOI:10.1007/s12095-024-00706-1

Fengwei Li, Fanhui Meng, Ziling Heng, Qin Yue

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引用次数: 0

摘要

让 \(\mathbb {F}_q\) 是一个有 q 个元素的有限域，其中 q 是素数 p 的幂次。在本文中，我们获得了对\(\mathbb {F}_q \)上多项式 f(x) 相关特征和的 Weil 边界的改进，它扩展了 Wan 等人 (Des. Codes Cryptogr 81, 459-468, 2016) 和 Wu 等人 (Des. Codes Cryptogr 90, 2813-2821, 2022) 的结果。(Des. Codes Cryptogr. 81, 459-468, 2016) 和 Wu 等人 (Des. Codes Cryptogr. 90, 2813-2821, 2022) 的结果。

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An improvement on Weil bounds for character sums of polynomials over finite fields

Let \(\mathbb {F}_q\) be a finite field with q elements, where q is a power of a prime p. In this paper, we obtain an improvement on Weil bounds for character sums associated to a polynomial f(x) over \(\mathbb {F}_q \), which extends the results of Wan et al. (Des. Codes Cryptogr. 81, 459–468, 2016) and Wu et al. (Des. Codes Cryptogr. 90, 2813–2821, 2022).

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Cryptography and Communications

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