A new construction of differentially 4-uniform \((n,n-1)\)-functions
type: Item
instance of: scholarly article
title: A new construction of differentially 4-uniform \((n,n-1)\)-functions
zbMATH Open document ID: 1366.94481
author: Claude Carlet
author: Yousuf Alsalami
published in: Advances in Mathematics of Communications
publication date: 2015-11-25T00:00:00Z
Mathematics Subject Classification ID: 94A60
Mathematics Subject Classification ID: 11T71
Mathematics Subject Classification ID: 68P25
zbMATH DE Number: 6513488
zbMATH Keywords: block ciphers
zbMATH Keywords: S-boxes
zbMATH Keywords: vectorial Boolean functions
zbMATH Keywords: APN functions
zbMATH Keywords: differentially 4-uniform functions
describes a project that uses: PRESENT
describes a project that uses: PICARO
describes a project that uses: MISTY
MaRDI profile type: Publication
full work available at URL: amc.2015.9.541
OpenAlex ID: W2406197832
cites work: Constructing symmetric ciphers using the CAST design procedure
cites work: On Almost Perfect Nonlinear Permutations
cites work: Serpent: A New Block Cipher Proposal
cites work: Differential cryptanalysis of DES-like cryptosystems
cites work: Links between Truncated Differential and Multidimensional Linear Properties of Block Ciphers and Underlying Attack Complexities
cites work: On the classification of APN functions up to dimension five
cites work: Q3062262
cites work: PRESENT: An Ultra-Lightweight Block Cipher
cites work: Q3062263
cites work: A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree
cites work: Binomial differentially 4 uniform permutations with high nonlinearity
cites work: Codes, bent functions and permutations suitable for DES-like cryptosystems
cites work: Q3081626
cites work: On Known and New Differentially Uniform Functions
cites work: Explicit evaluation of certain exponential sums.
cites work: The divisibility modulo 24 of Kloosterman sums on \(\text{GF}(2^m)\), \(m\) odd
cites work: Q4365754
cites work: Q2760977
cites work: Q4115154
cites work: Almost perfect nonlinear power functions on \(\mathrm{GF}(2^n)\): the Niho case.
cites work: Almost perfect nonlinear power functions on GF(2/sup n/): the Welch case
cites work: Q2712106
cites work: Maximal recursive sequences with 3-valued recursive cross-correlation functions (Corresp.)
cites work: New pseudo-planar binomials in characteristic two and related schemes
cites work: The weight enumerators for several classes of subcodes of the 2nd order binary Reed-Muller codes
cites work: The block cipher companion.
cites work: Q4484885
cites work: The weights of the orthogonals of the extended quadratic binary Goppa codes
cites work: On the Classification of 4 Bit S-Boxes
cites work: New block encryption algorithm MISTY
cites work: Q4934705
cites work: Perfect nonlinear S-boxes
cites work: Q4484892
cites work: Q4318725
cites work: Provable security against a differential attack
cites work: On ``bent'' functions
cites work: Q5652531
cites work: New Families of Differentially 4-Uniform Permutations over ${\mathbb F}_{2^{2k}}$
cites work: Constructing new differentially 4-uniform permutations from the inverse function
cites work: ‐Relative Difference Sets and Their Representations
DOI: 10.3934/AMC.2015.9.541
description: scientific article; zbMATH DE number 6513488