Constructions of Resilient S-Boxes With Strictly Almost Optimal Nonlinearity Through Disjoint Linear Codes

DOI10.1109/TIT.2014.2300067zbMath1360.94396MaRDI QIDQ2986487

Enes Pašalić, Wei Guo Zhang

Publication date: 16 May 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cryptography (94A60)

Related Items (13)

Construction of balanced Boolean functions with high nonlinearity, good local and global avalanche characteristics ⋮ Constructions of 2-resilient rotation symmetric Boolean functions through symbol transformations of cyclic Hadamard matrix ⋮ Variation on correlation immune Boolean and vectorial functions ⋮ On negabent functions and nega-Hadamard transform ⋮ Constructing 1-resilient rotation symmetric functions over \(\mathbb{F}_p\) with \(q\) variables through special orthogonal arrays ⋮ Construction and count of 1-resilient rotation symmetric Boolean functions ⋮ Constructions of Resilient S-Boxes With Strictly Almost Optimal Nonlinearity Through Disjoint Linear Codes ⋮ Three classes of balanced vectorial semi-bent functions ⋮ Quantum algorithms on Walsh transform and Hamming distance for Boolean functions ⋮ Improving the lower bound on the maximum nonlinearity of 1-resilient Boolean functions and designing functions satisfying all cryptographic criteria ⋮ On algebraic properties of S-boxes designed by means of disjoint linear codes ⋮ New constructions of resilient functions with strictly almost optimal nonlinearity via non-overlap spectra functions ⋮ Two secondary constructions of bent functions without initial conditions

Cites Work

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• Construction of almost optimal resilient Boolean functions via concatenating Maiorana-McFarland functions
• On the Walsh spectrum of a family of quadratic APN functions with five terms
• Construction of balanced Boolean functions with high nonlinearity and good autocorrelation properties
• Constructions of Resilient S-Boxes With Strictly Almost Optimal Nonlinearity Through Disjoint Linear Codes
• A spectral characterization of correlation-immune combining functions
• Constructions of Almost Optimal Resilient Boolean Functions on Large Even Number of Variables

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