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On CCZ-Equivalence, Extended-Affine Equivalence, and Function Twisting
Boolean functions CCZ-Equivalence EA-equivalence
2018/8/2
Two vectorial Boolean functions are ``CCZ-equivalent'' if there exists an affine permutation mapping the graph of one to the other. It preserves many of the cryptographic properties of a function such...
An Improved Affine Equivalence Algorithm for Random Permutations
Affine equivalence problem block cipher Even-Mansour cipher
2018/2/1
Our algorithm is based on a new structure (called a \emph{rank table}) which is used to analyze particular algebraic properties of a function that remain invariant under invertible affine transformati...
Affine Equivalence and its Application to Tightening Threshold Implementations
side-channel protection FPGA TI higher-order
2015/12/24
Motivated by the development of Side-Channel Analysis (SCA)
countermeasures which can provide security up to a certain order, defeating
higher-order attacks has become amongst the most challenging
...
On the Affine Equivalence and Nonlinearity Preserving Bijective Mappings
Boolean functions nonlinearity affine equivalence automorphism groups Sylvester Hadamard matrices
2011/1/5
It is well-known that affine equivalence relations keep nonlineaerity invariant for all Boolean functions. The set of all Boolean functions, $\mathcal{F}_n$, over $\bbbf_2^n$, is naturally regarded as...