1‐Rotational Balanced Incomplete Block Designs With Block Size Four and Arbitrary Index
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Wiley Open Access
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| Autores principales: | , , |
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| Formato: | Artículo Open Access |
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Wiley
2026
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| _version_ | 1867003202267774976 |
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| author | Zian Zhang Junling Zhou Yanxun Chang |
| author_facet | Zian Zhang Junling Zhou Yanxun Chang Zian Zhang Junling Zhou Yanxun Chang |
| collection | Wiley Open Access |
| contents | 1‐Rotational Balanced Incomplete Block Designs With Block Size Four and Arbitrary Index Zian Zhang Junling Zhou Yanxun Chang Journal of Combinatorial Designs 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 . 10.1002/jcd.70013 http://onlinelibrary.wiley.com/termsAndConditions#vor |
| doi_str_mv | 10.1002/jcd.70013 |
| format | Artículo Open Access |
| id | wiley_oa_10_1002_jcd_70013 |
| institution | Wiley Open Access |
| license_str_mv | http://onlinelibrary.wiley.com/termsAndConditions#vor |
| publishDate | 2026 |
| publisher | Wiley |
| record_format | wiley_oa |
| spellingShingle | 1‐Rotational Balanced Incomplete Block Designs With Block Size Four and Arbitrary Index Zian Zhang Junling Zhou Yanxun Chang Journal of Combinatorial Designs 1‐Rotational Balanced Incomplete Block Designs With Block Size Four and Arbitrary Index Zian Zhang Junling Zhou Yanxun Chang Journal of Combinatorial Designs 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 . 10.1002/jcd.70013 http://onlinelibrary.wiley.com/termsAndConditions#vor |
| title | 1‐Rotational Balanced Incomplete Block Designs With Block Size Four and Arbitrary Index |
| topic | Journal of Combinatorial Designs |
| url | https://onlinelibrary.wiley.com/doi/10.1002/jcd.70013 |