Algebraic Construction of Powerful Substitution Box
Eslam wahba afify1, Wageda I. El sobky2, Abeer T. Khalil3, Reda Abo Alez4
1Eslam wahba afify, Department of Electrical, Faculty of Engineering, Benha University, Benha, Egypt.
2Wageda I. El sobky, Department of Mathematics, Faculty of Engineering, Benha University, Benha, Cairo Egypt.
3Abeer Twakol, Department of Electrical, , Faculty of Engineering, Benha University, Benha, Egypt.
4Reda Abo Alez, Department of Systems and Computer Engineering Faculty of Engineering, Al Azhar University Cairo, Egypt.
Manuscript received on February 12, 2020. | Revised Manuscript received on February 21, 2020. | Manuscript published on March 30, 2020. | PP: 405-409 | Volume-8 Issue-6, March 2020. | Retrieval Number: D8279118419/2020©BEIESP | DOI: 10.35940/ijrte.D8279.038620
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The development of wireless transmission, day by day contacts the new statures of innovation. Cryptography is one of the procedures used to give security to information streaming over the system by encryption and decryption. Substitution box (S-box) is a one of a kind nonlinear activity in Advanced Encryption Standard (AES), this paper proposed a new algebraic approach to build the multifaceted nature of S-box by changing the affine transformation. This builds the affine change period to end up 102 and expands the security of the S-box against algebraic attacks and interpolation attacks. Further examination has uncovered that the Operational multifaceted nature of the power S-box is higher than the essential S-box. the proposed powerful S-box satisfies the ideal property of Avalanche’s impact and has more prominent security towards linear and differential cryptanalysis. New S-box acquires all focal points and efficiency of any current advanced usage of AES S-box.
Keywords: Boolean Function, Advanced Encryption Standard (AES), Substitution Box (S-box), Irreducible Polynomial, Nonlinearity, Strict Avalanche Criterion (SAC), Bit Independent Criterion (BIC), an affine period.
Scope of the Article: Construction Economics.