Browsing University of Bergen Library by Journals "Finite Fields and Their Applications"
Now showing items 1-5 of 5
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Classification of quadratic APN functions with coefficients in F2 for dimensions up to 9
(Journal article; Peer reviewed, 2020)Almost perfect nonlinear (APN) and almost bent (AB) functions are integral components of modern block ciphers and play a fundamental role in symmetric cryptography. In this paper, we describe a procedure for searching for ... -
The differential spectrum of a ternary power mapping
(Journal article; Peer reviewed, 2020)A function f(x)from the finite field GF(pn)to itself is said to be differentially δ-uniform when the maximum number of solutions x ∈GF(pn)of f(x +a) −f(x) =bfor any a ∈GF(pn)∗and b ∈GF(pn)is equal to δ. Let p =3and d =3n−3. ... -
On construction and (non)existence of c-(almost) perfect nonlinear functions
(Journal article; Peer reviewed, 2021)Functions with low differential uniformity have relevant applications in cryptography. Recently, functions with low c-differential uniformity attracted lots of attention. In particular, so-called APcN and PcN functions ... -
On equivalence between known families of quadratic APN functions
(Journal article; Peer reviewed, 2020)This paper is dedicated to a question whether the currently known families of quadratic APN polynomials are pairwise different up to CCZ-equivalence. We reduce the list of these families to those CCZ-inequivalent to each ... -
Relation between o-equivalence and EA-equivalence for Niho bent functions
(Journal article; Peer reviewed, 2021)Boolean functions, and bent functions in particular, are considered up to so-called EA-equivalence, which is the most general known equivalence relation preserving bentness of functions. However, for a special type of bent ...