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Technology of Information Security
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App. Res. of Comp. Printed Article
Vol. 41, 2024 No. 3
911-915,922

Differential analysis and improvement of full-round MGFN based on MILP

Li Yanjun1,2a
Bi Xinjie2a
Xiang Yong1
Lin Yiping2b
1. Information Industry Information Security Evaluation Center, The 15th Research Institute of China Electronics Technology Group Corporation, Beijing 100083, China
2. a. Dept. of Cryptologic Science & Technology, b. Dept. of Cyberspace Security, Beijing Institute of Electronic Science & Technology, Beijing 100070, China
DOI: 10.19734/j.issn.1001-3695.2023.07.0300

Abstract

This article investigated the MGFN algorithm's ability to resist differential analysis and proposed improved methods. First of all, it modeled this algorithm based on the MILP, and then got a 6-round iterative differential and a full round differential path with a total probability of 2－40, which was much larger than the differential probability of random permutation. Secondly, it gave the branch number of the S-box as an indicator to measure its differential safety. This paper also replaced the S-box of MGFN algorithm with a new S-box and proposed a new MGFN-P algorithm by modifying the key extension algorithm. Finally, differential path search and analysis show that MGFN-P algorithm is more secure and efficient than the original algorithm.

Foundation Support

北京市自然科学基金资助项目(4234084)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2023.07.0300
Publish at: Application Research of Computers Printed Article, Vol. 41, 2024 No. 3
Section: Technology of Information Security
Pages: 911-915,922
Serial Number: 1001-3695(2024)03-040-0911-05

Publish History

[2023-11-19] Accepted Paper
[2024-03-05] Printed Article

Cite This Article

李艳俊, 毕鑫杰, 项勇, 等. 基于MILP的MGFN全轮差分分析及改进 [J]. 计算机应用研究, 2024, 41 (3): 911-915,922. (Li Yanjun, Bi Xinjie, Xiang Yong, et al. Differential analysis and improvement of full-round MGFN based on MILP [J]. Application Research of Computers, 2024, 41 (3): 911-915,922. )

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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