Constructing APN Functions Through Isotopic Shifts
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Publication:5124502
DOI10.1109/TIT.2020.2974471zbMath1446.94085OpenAlexW3007804260MaRDI QIDQ5124502
Claude Carlet, Lilya Budaghyan, Irene Villa, Marco Calderini, Robert S. Coulter
Publication date: 29 September 2020
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/tit.2020.2974471
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Cryptography (94A60) Boolean functions (94D10)
Related Items (18)
Trims and extensions of quadratic APN functions ⋮ Invariants for EA- and CCZ-equivalence of APN and AB functions ⋮ On equivalence between two known families of APN polynomial functions and APN power functions ⋮ On a conjecture on APN permutations ⋮ On construction and (non)existence of \(c\)-(almost) perfect nonlinear functions ⋮ On the infiniteness of a family of APN functions ⋮ A new class of generalized almost perfect nonlinear power function ⋮ On the exceptionality of rational APN functions ⋮ Triplicate functions ⋮ Differential spectrum of a class of APN power functions ⋮ The classification of quadratic APN functions in 7 variables and combinatorial approaches to search for APN functions ⋮ On the equivalence between a new family of APN quadrinomials and the power APN functions ⋮ Note on Budaghyan and Carlet's almost perfect nonlinear functions ⋮ On a class of APN power functions over odd characteristic finite fields: their differential spectrum and \(c\)-differential properties ⋮ Generalized isotopic shift construction for APN functions ⋮ Differentially low uniform permutations from known 4-uniform functions ⋮ Classification of quadratic APN functions with coefficients in \(\mathbb{F}_2\) for dimensions up to 9 ⋮ On known constructions of APN and AB functions and their relation to each other
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