New Constructions of q-Variable Rotation Symmetric Resilient Functions Based on Latin Square Over GF(p)

DU Jiao; LIU Chun-hong; ZHANG En; SHANG Yu-jing; DONG Le

doi:10.3969/j.issn.0372-2112.2018.09.018

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New Constructions of q-Variable Rotation Symmetric Resilient Functions Based on Latin Square Over GF(p)

更新时间：2025-07-16

- New Constructions of q-Variable Rotation Symmetric Resilient Functions Based on Latin Square Over GF(p)
- Acta Electronica Sinica Vol. 46, Issue 9, Pages: 2173-2180(2018)
- 作者机构：
  
  1. 河南师范大学数学与信息科学学院,河南,新乡,453007
  2. 河南师范大学大数据统计分析与优化控制河南省工程实验室,河南,新乡,453007
  3. 河南师范大学计算机与信息工程学院,河南,新乡,453007
  4. 河南师范大学数学与信息科学学院,河南,新乡,453007
  5. 河南师范大学大数据统计分析与优化控制河南省工程实验室,河南,新乡,453007
  6. 河南师范大学计算机与信息工程学院,河南,新乡,453007
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.U1404601, No.11571094, No.11501181, No.U1604156, No.61402154);Technology Research and Development Program Fund of Henan Province (No.172102210045);Doctoral Research Fund of He'nan Normal University (No.5101019170133).
- DOI：10.3969/j.issn.0372-2112.2018.09.018
  CLC： TN918.1
- Published Online：25 September 2018，
  
  Published：2018
- 稿件说明：
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DU Jiao, LIU Chun-hong, ZHANG En, et al. New Constructions of q-Variable Rotation Symmetric Resilient Functions Based on Latin Square Over GF(p)[J]. Acta Electronica Sinica, 2018, 46(9): 2173-2180.
DOI：

DU Jiao, LIU Chun-hong, ZHANG En, et al. New Constructions of q-Variable Rotation Symmetric Resilient Functions Based on Latin Square Over GF(p)[J]. Acta Electronica Sinica, 2018, 46(9): 2173-2180. DOI： 10.3969/j.issn.0372-2112.2018.09.018.

摘要

在特征为

的有限域上，基于弹性函数与正交表大集间的等价关系，借助于一个具有最大圈结构的拉丁方，给出了一个构造

元旋转对称弹性函数的新方法.此外，通过一个具体的实例说明了本文的方法能够构造出已有方法不能构造的GF（

）上的

元旋转对称弹性函数.

Abstract

A novel method to construct rotation symmetric resilient functions with

variables is proposed over GF(

) by using a Latin square with maximum cycle structure. This method is based on the equivalence between resilient functions and Large sets of orthogonal arrays. Additionally

an example is given to demonstrate that some rotation symmetric resilient functions with

variables can be constructed by the method presented in this paper

while these functions cannot be determined according to the earlier constructions over the finite field GF(

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