{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,23]],"date-time":"2026-07-23T19:00:20Z","timestamp":1784833220681,"version":"3.55.0"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Generalizing the case of $\\lambda=1$ given by Buratti and Zuanni [Bull Belg. Math. Soc. (1998)],  we characterize the $1$-rotational difference families generating a  1-rotational $(v,k,\\lambda)$-RBIBD, that is  a $(v,k,\\lambda)$ resolvable balanced incomplete block design admitting an automorphism group $G$ acting sharply transitively on all but one point $\\infty$ and leaving invariant a resolution $\\cal R$ of it. When $G$ is transitive on $\\cal R$ we prove that removing $\\infty$ from a parallel class of $\\cal R$ one gets a partitioned difference family, a concept recently introduced by Ding and Yin [IEEE Trans. Inform. Theory, 2005] and used to construct optimal constant composition codes. In this way, by exploiting old and new results about the existence of 1-rotational  RBIBDs we are able to derive a great bulk of previously unnoticed partitioned difference families.  Among our RBIBDs we construct, in particular, a $(45,5,2)$-RBIBD whose existence was previously in doubt.<\/jats:p>","DOI":"10.37236\/411","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:00:13Z","timestamp":1578715213000},"source":"Crossref","is-referenced-by-count":17,"title":["From a 1-Rotational RBIBD to a Partitioned Difference Family"],"prefix":"10.37236","volume":"17","author":[{"given":"Marco","family":"Buratti","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jie","family":"Yan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chengmin","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"23455","published-online":{"date-parts":[[2010,10,22]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r139\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r139\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:22:44Z","timestamp":1579303364000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v17i1r139"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,10,22]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2010,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/411","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,10,22]]},"article-number":"R139"}}