Blar i Faculty of Mathematics and Natural Sciences på tittel
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On Isotopic Shift Construction for Planar Functions
(Chapter; Peer reviewed, 2019)CCZ-equivalence is the most general currently known equivalence relation for functions over finite fields preserving planarity and APN properties. However, for the particular case of quadratic planar functions isotopic ... -
On iterative decoding of high-density parity-check codes using edge-local complementation
(Doctoral thesis, 2010-11-24)The overall topic of this work is a graph operation known as edgelocal complementation (ELC) and its applications to iterative decoding of classical codes. Although these legacy codes are arguably not well-suited for ... -
On KDE-based brushing in scatterplots and how it compares to CNN-based brushing
(Chapter, 2019)In this paper, we investigate to which degree the human should be involved into the model design and how good the empirical model can be with more careful design. To find out, we extended our previously published Mahalanobis ... -
On Mixed Wind-Sea/Swell Conditions in the Open Ocean : Model and Radar-Observations
(Master thesis, 2005) -
On moduli spaces of polarized Enriques surfaces
(Journal article; Peer reviewed, 2020)We prove that, for any g≥2, the étale double cover ρg:Eg→̂Eg from the moduli space Egof complex polarized genus g Enriques surfaces to the moduli space ̂Egof numerically polarized genus g Enriques surfaces is disconnected ... -
On multivariate Vernic recursions
(Statistical report no. 34, Research report, 1999-07) -
On Neural Associative Memory Structures: Storage and Retrieval of Sequences in a Chain of Tournaments
(Journal article; Peer reviewed, 2021)Associative memories enjoy many interesting properties in terms of error correction capabilities, robustness to noise, storage capacity, and retrieval performance, and their usage spans over a large set of applications. ... -
On offshore wind farm maintenance scheduling for decision support on vessel fleet composition
(Peer reviewed; Journal article, 2019)Maintenance costs account for a large part of the total cost of an offshore wind farm. Several models have been presented in the literature to optimize the fleet composition of the required vessels to support maintenance ... -
On Perturbation Resilience of Non-uniform k-Center
(Journal article; Peer reviewed, 2021)The Non-Uniform k-center (NUkC) problem has recently been formulated by Chakrabarty et al. [ICALP, 2016; ACM Trans Algorithms 16(4):46:1–46:19, 2020] as a generalization of the classical k-center clustering problem. In ... -
On properties of bent and almost perfect nonlinear functions
(Doctoral thesis, 2021-09-14)(Vectorial) Boolean functions play an important role in all domains related to computer science, and in particular, in cryptography. The safety of a cryptosystem is quantified via some characteristics of (vectorial) Boolean ... -
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 radar imaging of current features: 1. Model and comparison with observations
(Journal article, 2005-07-22)A new radar imaging model of ocean current features is proposed. The simulated normalized radar cross section (NRCS) takes into account scattering from ‘‘regular’’ surfaces (by means of resonant Bragg scattering and specular ... -
On radar imaging of current features: 2. Mesoscale eddy and current front detection
(Peer reviewed; Journal article, 2005-07-22)The surface signatures of meandering fronts and eddies have been regularly observed and documented in synthetic aperture radar (SAR) images. Wave-current interactions, the suppression of short wind waves by natural film, ... -
On regular Frobenius bases
(Department of Pure Mathematics report no. 49, Research report, 1987-03) -
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 self-equivalences of APN functions
(Master thesis, 2023-10-16)In this thesis we investigate the structure of what we call extended linear self-equivalences for vectorial Boolean functions. That is, $(L_1, L_2, L)$ such that $L_1 \circ F \circ L_2 + L = F$ for some vectorial Boolean ... -
On Semi-implicit Splitting Schemes for the Beltrami Color Image Filtering
(Peer reviewed; Journal article, 2011)The Beltrami flow is an efficient nonlinear filter, that was shown to be effective for color image processing. The corresponding anisotropic diffusion operator strongly couples the spectral components. Usually, this flow ... -
On Semi-implicit Splitting Schemes for the Beltrami Color Image Filtering
(Peer reviewed; Journal article, 2011-01-15)The Beltrami flow is an efficient nonlinear filter, that was shown to be effective for color image processing. The corresponding anisotropic diffusion operator strongly couples the spectral components. Usually, this flow ... -
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 ...