1‐Rotational Balanced Incomplete Block Designs With Block Size Four and Arbitrary Index
ABSTRACT The necessary and sufficient conditions for the existence of 1‐rotational balanced incomplete block designs with block size four and index unity have been determined to be and [J. Comb. Theory, Ser. A 206 (2024) 105890]. This work completely determines the existence spectrum of 1‐rotational balanced incomplete block designs with block size four and any index . To be specific, for and , there exists a 1‐rotational BIBD if and only if , and .
Authors
- Yanxun Chang (ORCID: https://orcid.org/0000-0001-7766-5084)
- Zian Zhang (ORCID: https://orcid.org/0009-0005-7999-2640)
- Junling Zhou
Institutions
- Beijing Jiaotong University (CN)
Publication Details
- Journal
- Journal of Combinatorial Designs
- Published
- 2026-03-26
- DOI
- https://doi.org/10.1002/jcd.70013
- Primary Topic
- graph theory and CDMA systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00