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- Title
A Novel Construction of Efficient Substitution-Boxes Using Cubic Fractional Transformation.
- Authors
Zahid, Amjad Hussain; Arshad, Muhammad Junaid; Ahmad, Musheer
- Abstract
A symmetric block cipher employing a substitution–permutation duo is an effective technique for the provision of information security. For substitution, modern block ciphers use one or more substitution boxes (S-Boxes). Certain criteria and design principles are fulfilled and followed for the construction of a good S-Box. In this paper, an innovative technique to construct substitution-boxes using our cubic fractional transformation (CFT) is presented. The cryptographic strength of the proposed S-box is critically evaluated against the state of the art performance criteria of strong S-boxes, including bijection, nonlinearity, bit independence criterion, strict avalanche effect, and linear and differential approximation probabilities. The performance results of the proposed S-Box are compared with recently investigated S-Boxes to prove its cryptographic strength. The simulation and comparison analyses validate that the proposed S-Box construction method has adequate efficacy to generate efficient candidate S-Boxes for usage in block ciphers.
- Subjects
FRACTIONAL calculus; SUBSTITUTION (Logic); MATHEMATICAL transformations; CRYPTOGRAPHY; BLOCK ciphers
- Publication
Entropy, 2019, Vol 21, Issue 3, p245
- ISSN
1099-4300
- Publication type
Article
- DOI
10.3390/e21030245