Differentially 4-uniform bijections by permuting the inverse function
From MaRDI portal
Publication:499660
DOI10.1007/s10623-014-9992-yzbMath1329.94079OpenAlexW2008116785MaRDI QIDQ499660
Claude Carlet, Deng Tang, Xiaohu Tang
Publication date: 30 September 2015
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-014-9992-y
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Boolean functions (06E30)
Related Items (36)
Non-monomial permutations with differential uniformity six ⋮ New explicit constructions of differentially 4-uniform permutations via special partitions of \(\mathbb{F}_{2^{2 k}}\) ⋮ On the behavior of some APN permutations under swapping points ⋮ On the boomerang uniformity of permutations of low Carlitz rank ⋮ A new family of differentially 4-uniform permutations over \(\mathbb{F}_{2^{2k}}\) for odd \(k\) ⋮ On the boomerang uniformity of a class of permutation quadrinomials over finite fields ⋮ Implicit Quadratic Property of Differentially 4-Uniform Permutations ⋮ A new method to investigate the CCZ-equivalence between functions with low differential uniformity ⋮ A method to calculate differential uniformity for permutations ⋮ On the construction of differentially 4-uniform involutions ⋮ New differentially 4-uniform permutations from modifications of the inverse function ⋮ Vectorial Boolean functions with very low differential-linear uniformity using Maiorana-McFarland type construction ⋮ Differential uniformity of the composition of two functions ⋮ On permutation quadrinomials with boomerang uniformity 4 and the best-known nonlinearity ⋮ Further results on differentially 4-uniform permutations over \(\mathbb{F}_{2^{2m}}\) ⋮ More low differential uniformity permutations over \(\mathbb{F}_{2^{2 k}}\) with \(k\) odd ⋮ A class of power mappings with low boomerang uniformity ⋮ On CCZ-equivalence between the Bracken-Tan-Tan function and power functions ⋮ On a class of APN power functions over odd characteristic finite fields: their differential spectrum and \(c\)-differential properties ⋮ Differentially low uniform permutations from known 4-uniform functions ⋮ Construction and search of balanced Boolean functions on even number of variables towards excellent autocorrelation profile ⋮ Low differentially uniform permutations from the Dobbertin APN function over \(\mathbb{F}_{2^n} \) ⋮ Комбинаторные свойства дифференциально $2$-равномерных подстановок ⋮ Construction of balanced vectorial Boolean functions with almost optimal nonlinearity and very low differential-linear uniformity ⋮ New differentially 4-uniform permutations by modifying the inverse function on subfields ⋮ Involutory differentially 4-uniform permutations from known constructions ⋮ More constructions of differentially 4-uniform permutations on \(\mathbb {F}_{2^{2k}}\) ⋮ On the boomerang uniformity of some permutation polynomials ⋮ Low \(c\)-differential and \(c\)-boomerang uniformity of the swapped inverse function ⋮ О $2$-транзитивных произведениях трех регулярных групп подстановок конечного поля ⋮ Constructing new differentially 4-uniform permutations from known ones ⋮ An equivalent condition on the switching construction of differentially 4-uniform permutations on from the inverse function ⋮ New secondary constructions of differentially 4-uniform permutations over ⋮ A method of construction of differentially 4-uniform permutations over \(V_m\) for even \(m\) ⋮ Constructing differentially 4-uniform involutions over \(\mathbb{F}_{2^{2k}}\) by using Carlitz form ⋮ Explicit values of the DDT, the BCT, the FBCT, and the FBDT of the inverse, the Gold, and the Bracken-Leander S-boxes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Binomial differentially 4 uniform permutations with high nonlinearity
- Differential cryptanalysis of DES-like cryptosystems
- A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree
- Codes, bent functions and permutations suitable for DES-like cryptosystems
- Constructing differentially 4-uniform permutations over \(\mathrm{GF}(2^{2m})\) from quadratic APN permutations over \(\mathrm{GF}(2^{2m+1})\)
- Constructing new differentially 4-uniform permutations from the inverse function
- On Known and New Differentially Uniform Functions
- New Construction of Differentially 4-Uniform Bijections
- The weights of the orthogonals of the extended quadratic binary Goppa codes
- New classes of almost bent and almost perfect nonlinear polynomials
- Communication Theory of Secrecy Systems*
- Constructing Differentially 4-Uniform Permutations Over <formula formulatype="inline"><tex Notation="TeX">${\BBF}_{2^{2k}}$</tex> </formula> via the Switching Method
This page was built for publication: Differentially 4-uniform bijections by permuting the inverse function
