{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:06Z","timestamp":1753893846167,"version":"3.41.2"},"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>New cyclic $n$-digit Gray codes are constructed over  $\\{0, 1, \\ldots, R-1 \\}$ for all $R \\ge 3$, $n \\ge 2$.  These codes have the  property that the distribution of the digit changes (transition counts) is  close to uniform:  For each $n \\ge 2$, every transition count is within  $R-1$ of the average $R^n\/n$, and for the   $2$-digit codes every transition count is either $\\lfloor{R^2\/2} \\rfloor$ or $\\lceil{R^2\/2} \\rceil$.<\/jats:p>","DOI":"10.37236\/949","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:51:13Z","timestamp":1578718273000},"source":"Crossref","is-referenced-by-count":3,"title":["Balancing Cyclic $R$-ary Gray Codes"],"prefix":"10.37236","volume":"14","author":[{"given":"Mary","family":"Flahive","sequence":"first","affiliation":[]},{"given":"Bella","family":"Bose","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2007,4,27]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v14i1r31\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v14i1r31\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T04:03:58Z","timestamp":1579320238000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v14i1r31"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,4,27]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2007,1,3]]}},"URL":"https:\/\/doi.org\/10.37236\/949","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2007,4,27]]},"article-number":"R31"}}