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

AbstractIn 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