Boolean functions for cryptography and coding theory
C Carlet - 2021 - books.google.com
Boolean functions are essential to systems for secure and reliable communication. This
comprehensive survey of Boolean functions for cryptography and coding covers the whole …
comprehensive survey of Boolean functions for cryptography and coding covers the whole …
More infinite classes of APN-like power functions
L Qu, K Li - arXiv preprint arXiv:2209.13456, 2022 - arxiv.org
In the literature, there are many APN-like functions that generalize the APN properties or are
similar to APN functions, eg locally-APN functions, 0-APN functions or those with boomerang …
similar to APN functions, eg locally-APN functions, 0-APN functions or those with boomerang …
Vanishing flats: A combinatorial viewpoint on the planarity of functions and their application
For a function f from F_2^n to F_2^n, the planarity of f is usually measured by its differential
uniformity and differential spectrum. In this paper, we propose the concept of vanishing flats …
uniformity and differential spectrum. In this paper, we propose the concept of vanishing flats …
Several new infinite classes of 0-APN power functions over
The investigation of partially APN functions has attracted a lot of research interest recently. In
this paper, we present several new infinite classes of 0-APN power functions over F 2 n by …
this paper, we present several new infinite classes of 0-APN power functions over F 2 n by …
Partially APN functions with APN-like polynomial representations
In this paper we investigate several families of monomial functions with APN-like exponents
that are not APN, but are partially 0-APN for infinitely many extensions of the binary field F …
that are not APN, but are partially 0-APN for infinitely many extensions of the binary field F …
The second-order zero differential spectra of some APN and other maps over finite fields
The Feistel Boomerang Connectivity Table and the related notion of $ F $-Boomerang
uniformity (also known as the second-order zero differential uniformity) has been recently …
uniformity (also known as the second-order zero differential uniformity) has been recently …
Two generalizations of almost perfect nonlinearity
C Carlet - Cryptology ePrint Archive, 2024 - eprint.iacr.org
Almost perfect nonlinear (in brief, APN) functions are (so-called vectorial) functions $ F: F_2^
n\to F_2^ n $ playing roles in several domains of information protection, at the intersection of …
n\to F_2^ n $ playing roles in several domains of information protection, at the intersection of …
On functions of low differential uniformity in characteristic 2: A close look (I)
N Anbar, T Kalaycı, A Topuzoğlu - arXiv preprint arXiv:2406.07468, 2024 - arxiv.org
We introduce a new concept, the APN-defect, which can be thought of as measuring the
distance of a given function $ G:\mathbb {F} _ {2^ n}\rightarrow\mathbb {F} _ {2^ n} $ to the …
distance of a given function $ G:\mathbb {F} _ {2^ n}\rightarrow\mathbb {F} _ {2^ n} $ to the …
On the behavior of some APN permutations under swapping points
We define the pAPN-spectrum (which is a measure of how close a function is to being APN)
of an (n, n)-function F and investigate how its size changes when two of the outputs of a …
of an (n, n)-function F and investigate how its size changes when two of the outputs of a …
Several classes of 0-APN power functions over
T Fu, H Yan - arXiv preprint arXiv:2210.15103, 2022 - arxiv.org
Recently, the investigation of Partially APN functions has attracted a lot of attention. In this
paper, with the help of resultant elimination and MAGMA, we propose several new infinite …
paper, with the help of resultant elimination and MAGMA, we propose several new infinite …