New Construction Method and Numeration of 1st-Order Correlation-Immune Functions

LV Ji-qiang; HAN Jin-rong; WEI Bao-dian; WANG Xin-mei

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New Construction Method and Numeration of 1st-Order Correlation-Immune Functions

更新时间：2025-07-16

- New Construction Method and Numeration of 1st-Order Correlation-Immune Functions
- Acta Electronica Sinica Vol. 31, Issue 8, Pages: 1269-1271(2003)
- 作者机构：
  
  西安电子科技大学综合业务网国家重点实验室,陕西,西安,710071
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN918.1
- Published：2003
- 稿件说明：
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LV Ji-qiang, HAN Jin-rong, WEI Bao-dian, et al. New Construction Method and Numeration of 1st-Order Correlation-Immune Functions[J]. Acta Electronica Sinica, 2003, 31(8): 1269-1271.
DOI：

LV Ji-qiang, HAN Jin-rong, WEI Bao-dian, et al. New Construction Method and Numeration of 1st-Order Correlation-Immune Functions[J]. Acta Electronica Sinica, 2003, 31(8): 1269-1271. DOI：

摘要

本文研究了一阶相关免疫函数构造、计数问题

提出了一种新的一阶相关免疫函数的构造方法

由此得到了大量的一阶相关免疫函数;并通过这种构造方法给出了一个目前最好的一阶相关免疫函数个数下界

此下界比现有的结果至少改进了(2

emn-1+2

)/(2

n+8

-2

Abstract

Construction and numeration of 1st-order correlation-immune functions were studied.A new method to construct the 1st-order correlation-immune functions was proposed

through which a number of 1st-order correlation-immune functions were got and the best lower bound of 1st-order correlation-immune functions so far was gained.The lower bound is at least (2

emn-1+2

)/(2

n+8

-2

) more than the present.

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