Affine equivalence of quartic homogeneous rotation symmetric Boolean functions

DOI10.1016/J.INS.2013.09.001zbMath1384.94048OpenAlexW2118439495MaRDI QIDQ903575

Younhwan Cheon, Thomas W. Cusick

Publication date: 14 January 2016

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2013.09.001

zbMATH Keywords

Boolean functionsrotation symmetrypatternsaffine equivalencequartic function

Mathematics Subject Classification ID

Cryptography (94A60) Boolean functions (06E30)

Related Items (11)

Counting equivalence classes for monomial rotation symmetric Boolean functions with prime dimension ⋮ Affine equivalence of monomial rotation symmetric Boolean functions: a Pólya's theorem approach ⋮ Counting permutation equivalent degree six binary polynomials invariant under the cyclic group ⋮ The weight recursions for the 2-rotation symmetric quartic Boolean functions ⋮ Four decades of research on bent functions ⋮ Affine equivalence of quartic monomial rotation symmetric Boolean functions in prime power dimension ⋮ Equivalence of 2-rotation symmetric quartic Boolean functions ⋮ Circulant matrices and affine equivalence of monomial rotation symmetric Boolean functions ⋮ Weights for short quartic Boolean functions ⋮ Recursion orders for weights of Boolean cubic rotation symmetric functions ⋮ Permutation equivalence of cubic rotation symmetric Boolean functions

Cites Work

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• Affine equivalence of cubic homogeneous rotation symmetric functions
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• 9-variable Boolean functions with nonlinearity 242 in the generalized rotation symmetric class
• On the weight and nonlinearity of homogeneous rotation symmetric Boolean functions of degree 2
• Fast evaluation, weights and nonlinearity of rotation-symmetric functions
• Equivalence classes for cubic rotation symmetric functions
• Search for Boolean Functions With Excellent Profiles in the Rotation Symmetric Class
• A Classification of the Cosets of the Reed-Muller Code R (1, 6)
• Weight distributions of the cosets of the (32,6) Reed-Muller code

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