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Design of Nonlinear Components Over a Mordell Elliptic Curve on Galois Fields.
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- Author(s): Rehman, Hafeez ur; Shah, Tariq; Aljaedi, Amer; Hazzazi, Mohammad Mazyad; Alharbi, Adel R.
- Source:
Computers, Materials & Continua; 2021, Vol. 71 Issue 1, p1313-1329, 17p- Subject Terms:
- Source:
- Additional Information
- Abstract: Elliptic curve cryptography ensures more safety and reliability than other public key cryptosystems of the same key size. In recent years, the use of elliptic curves in public-key cryptography has increased due to their complexity and reliability. Different kinds of substitution boxes are proposed to address the substitution process in the cryptosystems, including dynamical, static, and elliptic curve-based methods. Conventionally, elliptic curve-based S-boxes are based on prime field GF(p) but in this manuscript; we propose a new technique of generating S-boxes based on mordell elliptic curves over the Galois field GF(2n). This technique affords a higher number of possibilities to generate S-boxes, which helps to increase the security of the cryptosystem. The robustness of the proposed S-boxes against the well-known algebraic and statistical attacks is analyzed to classify its potential to generate confusion and achieve up to the mark results compared to the various schemes. The majority logic criterion results determine that the proposed S-boxes have up to the mark cryptographic strength. [ABSTRACT FROM AUTHOR]
- Abstract: Copyright of Computers, Materials & Continua is the property of Tech Science Press and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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