Acta Informatica Pragensia 2017, 6(2), 162-173 | DOI: 10.18267/j.aip.1072217

Vliv nelinearity na vybraná kryptografická kritéria 8x8 S-boxů

Petr Tesař
Department of Computer Science and Mathematics, Faculty of Economic Studies, University of Finance and Administration, Estonská 500, 101 00 Prague 10, Czech Republic

V článku jsou definována standardně používaná kritéria charakterizující kryptografickou kvalitu S boxu: regulárnost, nelinearita, autokorelace, propagace změny a imunita proti diferenční kryptoanalýze. Jsou porovnány hodnoty autokorelace, propagace změny a imunity proti diferenční kryptoanalýze pro regulární 8x8 S boxy s nelinearitou 98, a regulárních 8x8 S boxů s nelinearitou 104. Je statisticky ověřeno, že vyšší nelinearita zlepšuje, v kryptograficky výhodném smyslu, hodnoty těchto kritérií.

Keywords: Kryptografie, regulární 8x8 S-box, kritérium nelinearity, vliv nelinearity na ostatní kryptografická kritéria

Influence of Non-Linearity on Selected Cryptographic Criteria of 8x8 S-Boxes

The article defines standard criteria used to characterize the cryptographic quality of the S box: regularity, non linearity, autocorrelation, avalanche and immunity against differential cryptanalysis. The values of autocorrelation, avalanche and immunity against differential cryptanalysis for regular 8x8 S-boxes with non-linearity 98 and regular 8x8 S-boxes with non linearity 104 are compared. It is statistically verified that higher non-linearity improves the values of these criteria in a cryptographically advantageous sense.

Keywords: Cryptography, Regular 8x8 S-box, Non-linearity criterion, Effect of non-linearity on other cryptographic criteria

Received: March 30, 2017; Revised: September 5, 2017; Accepted: September 17, 2017; Published: December 31, 2017  Show citation

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Tesař, P. (2017). Influence of Non-Linearity on Selected Cryptographic Criteria of 8x8 S-Boxes. Acta Informatica Pragensia, 6(2), 162-173. doi: 10.18267/j.aip.107
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