Cyclic groups are CI-groups for balanced configurations

Cyclic groups are CI-groups for balanced configurations

In this paper we propose an isomorphism criterion for cyclic balanced configurations defined over the same group Z n . It is shown that two such configurations are isomorphic if and only if there exists a group automorphism of Z n which maps one of the configurations onto the other. This result prov...

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Veröffentlicht in:Designs, codes, and cryptography codes, and cryptography, 2019-06, Vol.87 (6), p.1227-1235
Hauptverfasser: Koike, Hiroki, Kovács, István, Marušič, Dragan, Muzychuk, Mikhail
Format: Artikel
Sprache:eng
Schlagworte:
Automorphisms
Circuits
Coding and Information Theory
Computer Science
Configurations
Cryptology
Data Structures and Information Theory
Discrete Mathematics in Computer Science
Information and Communication
Isomorphism
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Zusammenfassung:In this paper we propose an isomorphism criterion for cyclic balanced configurations defined over the same group Z n . It is shown that two such configurations are isomorphic if and only if there exists a group automorphism of Z n which maps one of the configurations onto the other. This result provides an easy isomorphism test for balanced cyclic configurations over the same cyclic group.
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-018-0517-y