Abstract
In this paper we propose an isomorphism criterion for cyclic balanced configurations defined over the same group \(\mathbb {Z}_n\). It is shown that two such configurations are isomorphic if and only if there exists a group automorphism of \(\mathbb {Z}_n\) 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.
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Acknowledgements
The authors are grateful to anonymous referees for constructive comments which helped us to improve the paper. The first three authors were supported in part by ARRS, the Slovenian Research Agency (research program P1-0285); the second and third authors thank ARRS (research projects N1-0032, N1-0038, J1-5433 and J1-6720); and the third author also thanks ARRS (I0-0035), and H2020 Teaming InnoRenew CoE. The fourth author was supported by the Israeli Ministry of Absorption; he also thanks the University of Primorska for hospitality.
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Communicated by G. Korchmaros.
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Koike, H., Kovács, I., Marušič, D. et al. Cyclic groups are CI-groups for balanced configurations. Des. Codes Cryptogr. 87, 1227–1235 (2019). https://doi.org/10.1007/s10623-018-0517-y
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DOI: https://doi.org/10.1007/s10623-018-0517-y