{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:09:05Z","timestamp":1753880945874,"version":"3.41.2"},"reference-count":15,"publisher":"World Scientific Pub Co Pte Ltd","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2023,11]]},"abstract":"<jats:p> Let [Formula: see text], where [Formula: see text] are distinct odd primes, be an integer and [Formula: see text] be a finite field of order [Formula: see text] with [Formula: see text]. We determine the weight enumerators of all irreducible cyclic codes of length [Formula: see text] over [Formula: see text] when multiplicative order of [Formula: see text] modulo [Formula: see text] is [Formula: see text]; [Formula: see text] and [Formula: see text]; [Formula: see text], where [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s1793830922501798","type":"journal-article","created":{"date-parts":[[2022,12,9]],"date-time":"2022-12-09T05:01:40Z","timestamp":1670562100000},"source":"Crossref","is-referenced-by-count":0,"title":["Weight enumerators of all irreducible cyclic codes of length <i>n<\/i>"],"prefix":"10.1142","volume":"15","author":[{"given":"Pankaj","family":"Kumar","sequence":"first","affiliation":[{"name":"Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar 125001, India"}]},{"family":"Riddhi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar 125001, India"}]}],"member":"219","published-online":{"date-parts":[[2022,12,8]]},"reference":[{"key":"S1793830922501798BIB001","doi-asserted-by":"crossref","first-page":"955","DOI":"10.1109\/TIT.2008.2011511","volume":"55","author":"Ding C.","year":"2009","journal-title":"IEEE Trans. Inf. Theory"},{"key":"S1793830922501798BIB002","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1007\/s10623-011-9514-0","volume":"62","author":"Fang T.","year":"2012","journal-title":"Des. Codes Crytogr."},{"key":"S1793830922501798BIB003","doi-asserted-by":"crossref","first-page":"277","DOI":"10.3934\/amc.2015.9.277","volume":"9","author":"Kumar P.","year":"2015","journal-title":"Adv. Math. Commun."},{"key":"S1793830922501798BIB004","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1007\/s10623-015-0056-8","volume":"79","author":"Liu Y.","year":"2016","journal-title":"Des. Codes Cryptogr."},{"key":"S1793830922501798BIB005","volume-title":"The Theory of Error-Correcting Codes","volume":"16","author":"MacWilliams F. J.","year":"1977"},{"key":"S1793830922501798BIB006","doi-asserted-by":"crossref","first-page":"1073","DOI":"10.1007\/s13226-022-00219-8","volume":"53","author":"Riddhi","year":"2022","journal-title":"Indian Jour. Pure Appli. Math."},{"key":"S1793830922501798BIB007","doi-asserted-by":"crossref","first-page":"1850085","DOI":"10.1142\/S1793557118500857","volume":"11","author":"Sangwan M.","year":"2018","journal-title":"Asian. Eur. J. Math."},{"key":"S1793830922501798BIB008","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1016\/j.ffa.2011.07.002","volume":"18","author":"Sharma A.","year":"2012","journal-title":"Finite Fields Appl."},{"key":"S1793830922501798BIB009","doi-asserted-by":"crossref","first-page":"1086","DOI":"10.1016\/j.ffa.2007.07.004","volume":"13","author":"Sharma A.","year":"2007","journal-title":"Finite Fields Appl."},{"key":"S1793830922501798BIB010","doi-asserted-by":"crossref","first-page":"1450041","DOI":"10.1142\/S1793830914500414","volume":"6","author":"Sharma A.","year":"2014","journal-title":"Disc. Maths. Algorithm Appl."},{"issue":"4","key":"S1793830922501798BIB011","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1007\/s00200-017-0347-6","volume":"29","author":"Vega G.","year":"2018","journal-title":"Appli. Algebra Eng. Commun. Comput."},{"key":"S1793830922501798BIB012","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1007\/s00200-019-00385-z","volume":"30","author":"Vega G.","year":"2019","journal-title":"Appli. Algebra Eng. Commun. Comput."},{"key":"S1793830922501798BIB013","doi-asserted-by":"crossref","first-page":"1086","DOI":"10.1016\/j.ffa.2012.06.001","volume":"18","author":"Xiong M.","year":"2012","journal-title":"Finite Fields Appl."},{"key":"S1793830922501798BIB014","doi-asserted-by":"crossref","first-page":"99","DOI":"10.3934\/amc.2020045","volume":"15","author":"Yang S.","year":"2021","journal-title":"Adv. Math. Commun."},{"key":"S1793830922501798BIB015","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/j.ffa.2014.07.005","volume":"31","author":"Zhu X.","year":"2015","journal-title":"Finite Fields Appl."}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830922501798","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,15]],"date-time":"2023-08-15T02:54:41Z","timestamp":1692068081000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S1793830922501798"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,12,8]]},"references-count":15,"journal-issue":{"issue":"08","published-print":{"date-parts":[[2023,11]]}},"alternative-id":["10.1142\/S1793830922501798"],"URL":"https:\/\/doi.org\/10.1142\/s1793830922501798","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"type":"print","value":"1793-8309"},{"type":"electronic","value":"1793-8317"}],"subject":[],"published":{"date-parts":[[2022,12,8]]},"article-number":"2250179"}}