Chaos Meets Cryptography: Developing an S-Box Design with the Rössler Attractor

Erendira Corona-Bermúdez, Juan Carlos Chimal-Eguía (), Uriel Corona-Bermúdez and Mario Eduardo Rivero-Ángeles
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Erendira Corona-Bermúdez: Centro de Investigación en Computación del Instituto Politécnico Nacional, Ciudad de Mexico 07738, Mexico
Juan Carlos Chimal-Eguía: Centro de Investigación en Computación del Instituto Politécnico Nacional, Ciudad de Mexico 07738, Mexico
Uriel Corona-Bermúdez: Centro de Investigación en Computación del Instituto Politécnico Nacional, Ciudad de Mexico 07738, Mexico
Mario Eduardo Rivero-Ángeles: Centro de Investigación en Computación del Instituto Politécnico Nacional, Ciudad de Mexico 07738, Mexico

Mathematics, 2023, vol. 11, issue 22, 1-16

Abstract: The volume of data transmitted over networks has significantly increased in recent years. For that reason, safeguarding the privacy, authenticity, and confidentiality of specific data is imperative, necessitating a type of encryption; symmetric encryption, known for its computational efficiency, is ideal for securing extensive datasets. A principal component within symmetric key algorithms is the substitution box (S-box), which creates confusion between plaintext and ciphertext, enhancing the security of the process. This paper proposes a fashion method to create chaotic S-boxes using the Rössler attractor as a chaotic process and the Rijndael S-box as a permutation box. The proposed S-boxes are evaluated with bijectivity, non-linearity (NL), strict avalanche criterion (SAC), bit independence criterion (BIC), linear approximation probability (LAP), and differential uniformity (DU). The analyses show that the proposed method helps generate a high-resistance S-box to well-known attacks and high efficiency, executing in short computational time.

Keywords: S-box; chaotic Rössler attractor; symmetric key cryptography; security (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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