基于有限域中的二次特征生成的伪随机二进制格点

刘华宁, 李柯瑶

数学学报 ›› 2021, Vol. 64 ›› Issue (1) : 145-150.

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PDF(362 KB)
数学学报 ›› 2021, Vol. 64 ›› Issue (1) : 145-150. DOI: 10.12386/A2021sxxb0012
论文

基于有限域中的二次特征生成的伪随机二进制格点

    刘华宁, 李柯瑶
作者信息 +

Large Family of Pseudorandom Binary Lattices by Using the Quadratic Character in Finite Fields

    Hua Ning LIU, Ke Yao LI
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摘要

本文利用有限域的二次特征与乘法逆构造了大族的伪随机格点,并研究了其密码学性质:伪随机性、碰撞和雪崩效应.

Abstract

In this paper, we construct a large family of pseudorandom binary lattices by using the quadratic character in finite fields, and study the cryptography properties:pseudorandom measure, collision and avalanche effect.

关键词

有限域 / 二次特征 / 伪随机格点 / 特征和

Key words

finite field / quadratic character / pseudorandom lattice / character sum

引用本文

导出引用
刘华宁, 李柯瑶. 基于有限域中的二次特征生成的伪随机二进制格点. 数学学报, 2021, 64(1): 145-150 https://doi.org/10.12386/A2021sxxb0012
Hua Ning LIU, Ke Yao LI. Large Family of Pseudorandom Binary Lattices by Using the Quadratic Character in Finite Fields. Acta Mathematica Sinica, Chinese Series, 2021, 64(1): 145-150 https://doi.org/10.12386/A2021sxxb0012

参考文献

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基金

国家自然科学基金资助项目(11571277);陕西省自然科学基础研究计划项目(2020JM-026)

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