{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T16:38:58Z","timestamp":1740155938379,"version":"3.37.3"},"reference-count":11,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2019,4]]},"abstract":"<jats:p> Etzion [T. Etzion, Perfect byte correcting codes, IEEE Trans. Inform. Theory 44 (1998) 3140\u20133146.] has classified byte error correcting binary codes into five different categories with respect to the size of the byte. If a code is partitioned into [Formula: see text] equal byte of size say [Formula: see text] then [Formula: see text] or the size of bytes is [Formula: see text]. Alternatively if bytes are of different size say, [Formula: see text] then [Formula: see text]. The result was further modified by Tyagi and Sethi [V. Tyagi and A. Sethi, [Formula: see text]-Byte correcting perfect codes, Asian-Eur. J. Math. 7(1) (2014) 1\u20138.] and the classification of bytes was given with respect to size of the byte as well as length of the burst. We call such codes as [Formula: see text]-byte correcting perfect codes. Our aim in this paper is to find the possibilities for the existence of [Formula: see text]-byte correcting non-binary perfect codes. <\/jats:p>","DOI":"10.1142\/s1793830919500186","type":"journal-article","created":{"date-parts":[[2018,12,27]],"date-time":"2018-12-27T04:45:00Z","timestamp":1545885900000},"page":"1950018","source":"Crossref","is-referenced-by-count":0,"title":["bi-Byte correcting non-binary perfect codes"],"prefix":"10.1142","volume":"11","author":[{"given":"Vinod","family":"Tyagi","sequence":"first","affiliation":[{"name":"Department of Mathematics, Shyam Lal College (Evening), University of Delhi, Delhi 110032, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4894-0478","authenticated-orcid":false,"given":"Tarun","family":"Lata","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Delhi, Delhi 110007, India"}]}],"member":"219","published-online":{"date-parts":[[2019,4,24]]},"reference":[{"key":"S1793830919500186BIB001","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1959.1057524"},{"key":"S1793830919500186BIB002","doi-asserted-by":"publisher","DOI":"10.1109\/TC.1983.1676293"},{"key":"S1793830919500186BIB003","doi-asserted-by":"publisher","DOI":"10.1109\/TC.1986.1676807"},{"key":"S1793830919500186BIB004","doi-asserted-by":"publisher","DOI":"10.1109\/18.737544"},{"key":"S1793830919500186BIB005","doi-asserted-by":"publisher","DOI":"10.1109\/18.945267"},{"key":"S1793830919500186BIB007","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1950.tb00463.x"},{"key":"S1793830919500186BIB008","doi-asserted-by":"publisher","DOI":"10.1109\/T-C.1972.223503"},{"key":"S1793830919500186BIB009","volume-title":"Error Correcting Codes","author":"Peterson W. W.","year":"1972","edition":"2"},{"key":"S1793830919500186BIB010","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1960.1057558"},{"issue":"5","key":"S1793830919500186BIB011","first-page":"2419","volume":"11","author":"Tyagi V.","year":"2015","journal-title":"Global J. Pure Appl. Math."},{"key":"S1793830919500186BIB012","doi-asserted-by":"publisher","DOI":"10.1142\/S1793557113500459"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830919500186","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T15:30:07Z","timestamp":1565105407000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830919500186"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,4]]},"references-count":11,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2019,4,24]]},"published-print":{"date-parts":[[2019,4]]}},"alternative-id":["10.1142\/S1793830919500186"],"URL":"https:\/\/doi.org\/10.1142\/s1793830919500186","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"type":"print","value":"1793-8309"},{"type":"electronic","value":"1793-8317"}],"subject":[],"published":{"date-parts":[[2019,4]]}}}