Recursive constructions for cyclic quasiframes and cyclically resolvable cyclic Steiner 2-designs

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Abstract

In this paper, we will extend a semiframe to a more general notion 'quasiframe' and discuss a recursive construction for a quasiframe with cyclic property. Furthermore, as an application of a cyclic quasiframe, another recursive construction for a cyclically resolvable cyclic Steiner 2-design will be provided, which cannot be supplied by a recursive construction previously shown by Genma et al. J. Combin. Des. 5 (1997) 177-187. © 2000 Elsevier Science B.V. All rights reserved.

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Mishima, M., & Jimbo, M. (2000). Recursive constructions for cyclic quasiframes and cyclically resolvable cyclic Steiner 2-designs. Discrete Mathematics, 211(1–3), 135–152. https://doi.org/10.1016/S0012-365X(99)00141-7

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