Affine equivalence for rotation symmetric Boolean functions with \(p^k\) variables

DOI10.1016/j.ffa.2011.11.005zbMath1275.94026OpenAlexW1983583936MaRDI QIDQ413557

Alyssa Brown, Thomas W. Cusick

Publication date: 7 May 2012

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2011.11.005

zbMATH Keywords

cryptographyBoolean functionrotation symmetrypatternsaffine equivalencecubic function

Mathematics Subject Classification ID

Cryptography (94A60) Boolean functions (06E30)

Related Items (10)

Counting equivalence classes for monomial rotation symmetric Boolean functions with prime dimension ⋮ Finding Hamming weights without looking at truth tables ⋮ Equivalence classes for cubic rotation symmetric functions ⋮ Counting permutation equivalent degree six binary polynomials invariant under the cyclic group ⋮ Affine equivalence for cubic rotation symmetric Boolean functions with \(n=pq\) variables ⋮ Affine equivalence of quartic monomial rotation symmetric Boolean functions in prime power dimension ⋮ Circulant matrices and affine equivalence of monomial rotation symmetric Boolean functions ⋮ Recursion orders for weights of Boolean cubic rotation symmetric functions ⋮ Permutation equivalence of cubic rotation symmetric Boolean functions ⋮ Theory of 2-rotation symmetric cubic Boolean functions

Cites Work

• Affine equivalence of cubic homogeneous rotation symmetric functions
• Affine equivalence for rotation symmetric Boolean functions with \(2^{k }\) variables
• On the weight and nonlinearity of homogeneous rotation symmetric Boolean functions of degree 2
• Automata, Languages and Programming
• Fast Software Encryption
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