Algorithm Research & Explore
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App. Res. of Comp. Printed Article
Vol. 38, 2021 No. 2
430-434

Boolean function generation algorithm based on gravitational search algorithm

Jia Shaoshuai1,2
Zhang Fengrong1,2
1. Mine Digitization Engineering Research Center of Ministry of Education, School of Computer Science & Technology, China University of Mi-ning & Technology, Xuzhou Jiangsu 221116, China
2. Guangxi Key Laboratory of Cryptography & Information Security, Guilin University of Electronic Technology, Guilin Guangxi 541004, China
DOI: 10.19734/j.issn.1001-3695.2019.12.0668

Abstract

The Boolean functions are cryptographic functions that have been widely used in the fields of cryptography, error correction coding, and spread spectrum communication. Finding good performance Boolean functions has always been one of the important issues in the field of cryptography. Based on the gravitational search algorithm, this paper designed a new algorithm for searching Boolean functions. This algorithm imitated the law of universal gravitation, used the mass points in n-dimensional space to represent the Boolean function, and used the cryptographic characteristics of the Boolean function as the target fitness function for searching. The experimental results show that by changing the newly designed target fitness function, a balanced Boolean can be directly generated that meets a variety of cryptographic indicators such as 1-order resilient, 1-order propagation, or high nonlinearity, high algebraic number, and low autocorrelation index function. Further more, this paper implemented a computer search algorithm that directly generated a 2-output balanced Boolean function.

Foundation Support

国家自然科学基金面上项目(61972400)
广西密码学与信息安全重点实验室研究课题资助项目(GCIS201712)
江苏省自然科学基金资助项目(BK20181352)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2019.12.0668
Publish at: Application Research of Computers Printed Article, Vol. 38, 2021 No. 2
Section: Algorithm Research & Explore
Pages: 430-434
Serial Number: 1001-3695(2021)02-019-0430-05

Publish History

[2021-02-05] Printed Article

Cite This Article

贾少帅, 张凤荣. 基于引力搜索的布尔函数生成算法 [J]. 计算机应用研究, 2021, 38 (2): 430-434. (Jia Shaoshuai, Zhang Fengrong. Boolean function generation algorithm based on gravitational search algorithm [J]. Application Research of Computers, 2021, 38 (2): 430-434. )

About the Journal

  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

Application Research of Computers has many high-level readers and authors, and its readers are mainly senior and middle-level researchers and engineers engaged in the field of computer science, as well as teachers and students majoring in computer science and related majors in colleges and universities. Over the years, the total citation frequency and Web download rate of Application Research of Computers have been ranked among the top of similar academic journals in this discipline, and the academic papers published are highly popular among the readers for their novelty, academics, foresight, orientation and practicality.

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