Publication: Linear codes and incidence structures o...
Master data
Title: | Linear codes and incidence structures of bent functions and their generalizations |
Subtitle: | |
Abstract: | In this paper, we consider further applications of -functions for the construction of 2-designs. For instance, we provide a new application of the extended Assmus-Mattson theorem, by showing that linear codes of certain APN functions with the classical Walsh spectrum support 2-designs. With this result, we give several sufficient conditions for an APN function with the classical Walsh spectrum to be CCZ-inequivalent to a quadratic one. On the other hand, we use linear codes and combinatorial designs in order to study important properties of -functions. In particular, we provide a characterization of a quadratic Boolean bent function by means of the 2-transitivity of its automorphism group. Finally, we give a new design-theoretic characterization of -plateaued and -bent functions and provide a coding-theoretic as well as a design-theoretic interpretation of the extendability problem for -bent functions. |
Keywords: | bent function, combinatorial design, linear code, relative difference set, metric complement, covering radius |
Publication type: | Article in journal (Authorship) |
Publication date: | 13.09.2022 (Online) |
Published by: |
Discrete Mathematics
Discrete Mathematics
(
)
to publication |
Title of the series: | - |
Volume number: | 346 |
Issue: | 1 |
First publication: | Yes |
Version: | - |
Page: | pp. 1 - 22 |
Total number of pages: | 113157 pp. |
Versionen
Keine Version vorhanden |
Publication date: | 13.09.2022 |
ISBN (e-book): | - |
eISSN: | - |
DOI: | http://dx.doi.org/10.1016/j.disc.2022.113157 |
Homepage: | https://www.sciencedirect.com/science/article/pii/S0012365X22003636?via%3Dihub |
Open access |
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Publication date: | 01.2023 |
ISBN: | - |
ISSN: | 0012-365X |
Homepage: | - |
Assignment
Organisation | Address | ||||
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Fakultät für Technische Wissenschaften
Institut für Mathematik
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AT - 9020 Klagenfurt am Wörthersee |
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Research Cluster | No research Research Cluster selected |
Citation index |
Information about the citation index: Master Journal List
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Peer reviewed |
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Publication focus |
Classification raster of the assigned organisational units:
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Cooperations
Organisation | Address | ||
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Faculty of Mathematics, Institute of Algebra and Geometry, Otto von Guericke University
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DE - 39106 Magdeburg |
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Publications: | No related publications |
Events: | No related events |
Lectures: | No related lectures |