Construction of a cryptographic function based on Bose-type Sidon sets

Author:

Osorio Julian,Trujillo Carlos,Ruiz Diego

Abstract

<abstract><p>Sidon sets have several applications in mathematics and in real-world problems, including the generation of secret keys in cryptography, error-correcting codes, and the physical problem of compression of signals in telecommunications. In particular, in cryptography, the design of cryptographic functions with optimal properties like nonlinearity and differential uniformity plays a fundamental role in the development of secure cryptographic systems. Based on the construction of Bose-type Sidon sets, in this paper we present the construction of a new cryptographic function with good properties of nonlinearity and differential uniformity.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference24 articles.

1. M. Matsui, A. Yamagishi, A New Method for Known Plaintext Attack of FEAL Cipher, in Advances in Cryptology — EUROCRYPT' 92 (ed. Rueppel, R.A.), Springer Berlin Heidelberg, Berlin, Heidelberg, 1993, 81–91. https://doi.org/10.1007/3-540-47555-9_7

2. E. Biham, A. Shamir, Differential Cryptanalysis of DES Variants, Differential Cryptanalysis of the Data Encryption Standard, Springer New York, New York, NY, 1993, 33–77. https://doi.org/10.1007/978-1-4613-9314-6_4

3. L. Budaghyan, Construction and Analysis of Cryptographic Functions, Springer Publishing Company, Incorporated, 2015. https://doi.org/10.1007/978-3-319-12991-4

4. Y. Chen, L. Zhang, Z. Gong, W. Cai, Constructing Two Classes of Boolean Functions With Good Cryptographic Properties, IEEE Access, 7 (2019), 149657–149665. https://doi.org/10.1109/ACCESS.2019.2947367

5. C. Beierle, G. Leander, New Instances of Quadratic APN Functions, IEEE T. Inform. Theory, 68 (2022), 670–678. https://doi.org/10.1109/TIT.2021.3120698

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3