IGA : An Improved Genetic Algorithm to Construct Weightwise (Almost) Perfectly Balanced Boolean Functions with High Weightwise Nonlinearity

Author:

Yan Lili1ORCID,Cui Jingyi2ORCID,Liu Jian1ORCID,Xu Guangquan1ORCID,Han Lidong3ORCID,Jolfaei Alireza4ORCID,Zheng Xi5ORCID

Affiliation:

1. Tianjin Key Laboratory of Advanced Networking (TANK), College of Intelligence and Computing, Tianjin University, China

2. School of New Media and Communication, Tianjin University, China

3. The Key Laboratory of Cryptography of Zhejiang Province, Hangzhou Normal University, China

4. College of Science and Engineering, Flinders University, Australia

5. School of Computing, Macquarie University, Australia

Publisher

ACM

Reference25 articles.

1. Genetic Algorithm: Reviews, Implementations, and Applications;Alam Tanweer;Int. J. Eng. Pedagog.,2020

2. Claude Carlet , Domagoj Jakobovic , and Stjepan Picek . 2021 . Evolutionary algorithms-assisted construction of cryptographic boolean functions. In GECCO ’21 : Genetic and Evolutionary Computation Conference , Lille, France , July 10-14, 2021. 565–573. Claude Carlet, Domagoj Jakobovic, and Stjepan Picek. 2021. Evolutionary algorithms-assisted construction of cryptographic boolean functions. In GECCO ’21: Genetic and Evolutionary Computation Conference, Lille, France, July 10-14, 2021. 565–573.

3. Boolean functions with restricted input and their robustness; application to the FLIP cipher;Carlet Claude;IACR Trans. Symmetric Cryptol.,2017

4. Orel Cosseron , Clément Hoffmann , Pierrick Méaux , and François-Xavier Standaert . 2022. Towards Case-Optimized Hybrid Homomorphic Encryption - Featuring the Elisabeth Stream Cipher . In Advances in Cryptology - ASIACRYPT 2022(Lecture Notes in Computer Science, Vol. 13793) . Springer , 32–67. Orel Cosseron, Clément Hoffmann, Pierrick Méaux, and François-Xavier Standaert. 2022. Towards Case-Optimized Hybrid Homomorphic Encryption - Featuring the Elisabeth Stream Cipher. In Advances in Cryptology - ASIACRYPT 2022(Lecture Notes in Computer Science, Vol. 13793). Springer, 32–67.

5. Sébastien Duval , Virginie Lallemand , and Yann Rotella . 2016. Cryptanalysis of the FLIP Family of Stream Ciphers . In Advances in Cryptology - CRYPTO 2016 , Vol. 9814. Springer , 457–475. Sébastien Duval, Virginie Lallemand, and Yann Rotella. 2016. Cryptanalysis of the FLIP Family of Stream Ciphers. In Advances in Cryptology - CRYPTO 2016, Vol. 9814. Springer, 457–475.

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