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On properties of translation groups in the affine general linear group with applications to cryptography
(Journal article; Peer reviewed, 2021)The affine general linear group acting on a vector space over a prime field is a well-understood mathematical object. Its elementary abelian regular subgroups have recently drawn attention in applied mathematics thanks to ... -
On relations between CCZ- and EA-equivalences
(Peer reviewed; Journal article, 2020)In the present paper we introduce some sufficient conditions and a procedure for checking whether, for a given function, CCZ-equivalence is more general than EA-equivalence together with taking inverses of permutations. ... -
On Self-Dual Quantum Codes, Graphs, and Boolean Functions
(Master thesis, 2005)A short introduction to quantum error correction is given, and it is shown that zero-dimensional quantum codes can be represented as self-dual additive codes over GF(4) and also as graphs. We show that graphs representing ... -
On shared use of renewable stocks
(Journal article; Peer reviewed, 2020)Considered here is multi-party exploitation of common property, renewable resources. The parties play various dynamic games differing in degree of cooperation and commitment. Comparisons of steady states clarify issues on ... -
On Stable Marriages and Greedy Matchings
(Chapter; Peer reviewed, 2016)Research on stable marriage problems has a long and mathematically rigorous history, while that of exploiting greedy matchings in combinatorial scientific computing is a younger and less developed research field. We consider ... -
On Supergraphs Satisfying CMSO Properties
(Journal article; Peer reviewed, 2021)Let CMSO denote the counting monadic second order logic of graphs. We give a constructive proof that for some computable function f, there is an algorithm A that takes as input a CMSO sentence φ, a positive integer t, and ... -
On the Asymptotics of Solving the LWE Problem Using Coded-BKW With Sieving.
(Peer reviewed; Journal article, 2019) -
On the behavior of some APN permutations under swapping points
(Journal article; Peer reviewed, 2022)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 given function F are swapped. We completely ... -
On the Boomerang Uniformity of some Permutation Polynomials
(Journal article; Peer reviewed, 2020)The boomerang attack, introduced by Wagner in 1999, is a cryptanalysis technique against block ciphers based on differential cryptanalysis. In particular it takes into consideration two differentials, one for the upper ... -
On the Classification of Hermitian Self-Dual Additive Codes over GF(9)
(Peer reviewed; Journal article, 2012-08)Additive codes over GF(9) that are self-dual with respect to the Hermitian trace inner product have a natural application in quantum information theory, where they correspond to ternary quantum error-correcting codes. ... -
On the Complexity of Intersection Non-emptiness for Star-Free Language Classes
(Journal article; Peer reviewed, 2021)In the Intersection Non-emptiness problem, we are given a list of finite automata A_1, A_2,… , A_m over a common alphabet Σ as input, and the goal is to determine whether some string w ∈ Σ^* lies in the intersection of the ... -
On the Complexity of Recovering Incidence Matrices
(Journal article; Peer reviewed, 2020)The incidence matrix of a graph is a fundamental object naturally appearing in many applications, involving graphs such as social networks, communication networks, or transportation networks. Often, the data collected about ... -
On the Distance Between APN Functions
(Journal article; Peer reviewed, 2020)We investigate the differential properties of a vectorial Boolean function G obtained by modifying an APN function F . This generalizes previous constructions where a function is modified at a few points. We characterize ... -
On the EA-classes of known APN functions in small dimensions
(Journal article; Peer reviewed, 2020)Recently Budaghyan et al. (Cryptogr. Commun. 12, 85–100, 2020) introduced a procedure for investigating if CCZ-equivalence can be more general than EA-equivalence together with inverse transformation (when applicable). In ... -
On the effectiveness of the incremental approach to minimal chordal edge modification
(Journal article; Peer reviewed, 2021)Because edge modification problems are computationally difficult for most target graph classes, considerable attention has been devoted to inclusion-minimal edge modifications, which are usually polynomial-time computable ... -
On the feasibility of distributed systems for interactive visual analysis of omics data
(Master thesis, 2014-06-02)The purpose of this thesis is to discuss the feasibility of developing a distributed interactive visual analysis omics system demonstrating how selected modules from the standalone J-Express Modularized application can be ... -
On the Hardness of Generalized Domination Problems Parameterized by Mim-Width
(Journal article; Peer reviewed, 2022)For nonempty σ, ρ ⊆ ℕ, a vertex set S in a graph G is a (σ, ρ)-dominating set if for all v ∈ S, |N(v) ∩ S| ∈ σ, and for all v ∈ V(G) ⧵ S, |N(v) ∩ S| ∈ ρ. The Min/Max (σ,ρ)-Dominating Set problems ask, given a graph G and ... -
On the IND-CCA1 Security of FHE Schemes
(Journal article; Peer reviewed, 2022)Fully homomorphic encryption (FHE) is a powerful tool in cryptography that allows one to perform arbitrary computations on encrypted material without having to decrypt it first. There are numerous FHE schemes, all of which ... -
On the maximum number of edges in planar graphs of bounded degree and matching number
(Journal article; Peer reviewed, 2023)We determine the maximum number of edges that a planar graph can have as a function of its maximum degree and matching number. -
On the parameterized complexity of deletion to H-free strong components
(Journal article; Peer reviewed, 2020)Directed Feedback Vertex Set (DFVS) is a fundamental computational problem that has received extensive attention in parameterized complexity. In this paper, we initiate the study of a wide generalization, the H-SCC Deletion ...