Cyclic groups are CI-groups for balanced configurations

Hiroki Koike, István Kovács, Dragan Marušič, Mikhail Muzychuk

Research output: Contribution to journalArticlepeer-review


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.

Original languageAmerican English
Pages (from-to)1227-1235
Number of pages9
JournalDesigns, Codes, and Cryptography
Issue number6
StatePublished - 15 Jun 2019


  • Balanced configuration
  • CI-property
  • Cayley object
  • Cyclic group

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Applied Mathematics


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