论文信息 - Construction of New S-box using a Linear Fractional Transformation

Construction of New S-box using a Linear Fractional Transformation

In this letter, we assemble a new substitution box (S -box) using fractional linear transformation of a particular type and analyze proposed box for different analysis such as Strict Avalanche Criterion (SAC), Bit Independent Criterion (BIC), differential approximation probability (DP), linear approximation probability (LP) and nonlinearity. Further, we evaluate the results of these analyses with AES, APA, Gray, Xyi, Skipjack, S8 AES and Prime S-box to know the rank of our proposed box comparative to other boxes.

Tariq Shah | Majid Khan | Iqtadar Hussain | Muhammad Asif Gondal | Waqar A. Khan

[1] 盛合志帆,et al. Design and analysis of block ciphers , 2003 .

[2] Mitsuru Matsui,et al. Linear Cryptanalysis Method for DES Cipher , 1994, EUROCRYPT.

[3] Eltayeb Salih Abuelyman,et al. An Optimized Implementation of the S-Box using Residues of Prime Numbers , 2008 .

[4] Bogdan Miedzinski,et al. OF THE PAKISTAN ACADEMY OF SCIENCES , 2012 .

[5] Tariq Shah,et al. Construction of Cryptographically Strong 8x8 S-boxes , 2011 .

[6] Iqtadar Hussain,et al. A New Algorithm to Construct Secure Keys for AES , 2010 .

[7] Tariq Shah,et al. Statistical analysis of S-box in image encryption applications based on majority logic criterion , 2011 .

[8] Vincent Rijmen,et al. The Design of Rijndael: AES - The Advanced Encryption Standard , 2002 .

[9] Tariq Shah,et al. Comparative Analysis of S-boxes Based on Graphical SAC , 2010 .

[10] Stafford E. Tavares,et al. Constructing Large Cryptographically Strong S-boxes , 1992, AUSCRYPT.

[11] Yong Wang,et al. Analyses of SKIPJACK S-Box , 2011 .

[12] Khin Maung Latt,et al. New Analysis Methods on Strict Avalanche Criterion of S-Boxes , 2008 .