{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T14:45:25Z","timestamp":1775054725081,"version":"3.50.1"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","funder":[{"DOI":"10.13039\/501100005276","name":"National Board for Higher Mathematics","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100005276","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2017,6]]},"abstract":"<jats:p> Let [Formula: see text] denote the finite field of order [Formula: see text] and characteristic [Formula: see text] [Formula: see text] be a positive integer coprime to [Formula: see text] and let [Formula: see text] be an integer. In this paper, we develop the theory of constacyclic additive codes of length [Formula: see text] over [Formula: see text] and provide a canonical form decomposition for these codes. By placing ordinary, Hermitian and \u2217 trace bilinear forms on [Formula: see text] we determine some isodual constacyclic additive codes of length [Formula: see text] over [Formula: see text] Moreover, we explicitly determine basis sets of all self-orthogonal, self-dual and complementary-dual negacyclic additive codes of length [Formula: see text] over [Formula: see text] when [Formula: see text] and enumerate these three class of codes for any integer [Formula: see text] with respect to the aforementioned trace bilinear forms on [Formula: see text] <\/jats:p>","DOI":"10.1142\/s1793830917500379","type":"journal-article","created":{"date-parts":[[2017,4,12]],"date-time":"2017-04-12T21:50:37Z","timestamp":1492033837000},"page":"1750037","source":"Crossref","is-referenced-by-count":6,"title":["Constacyclic additive codes over finite fields"],"prefix":"10.1142","volume":"09","author":[{"given":"Taranjot","family":"Kaur","sequence":"first","affiliation":[{"name":"Department of Mathematics, IIT Delhi, India"}]},{"given":"Anuradha","family":"Sharma","sequence":"additional","affiliation":[{"name":"Department of Mathematics, IIIT-Delhi, India"}]}],"member":"219","published-online":{"date-parts":[[2017,4,12]]},"reference":[{"key":"S1793830917500379BIB001","doi-asserted-by":"publisher","DOI":"10.1109\/18.681315"},{"key":"S1793830917500379BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/s00200-015-0257-4"},{"key":"S1793830917500379BIB003","doi-asserted-by":"publisher","DOI":"10.1109\/TC.1986.1676807"},{"key":"S1793830917500379BIB004","doi-asserted-by":"publisher","DOI":"10.1109\/12.123405"},{"key":"S1793830917500379BIB005","doi-asserted-by":"publisher","DOI":"10.1109\/12.537124"},{"key":"S1793830917500379BIB007","doi-asserted-by":"publisher","DOI":"10.1147\/rd.282.0124"},{"key":"S1793830917500379BIB008","doi-asserted-by":"publisher","DOI":"10.1109\/18.705564"},{"key":"S1793830917500379BIB009","doi-asserted-by":"publisher","DOI":"10.3934\/amc.2007.1.427"},{"key":"S1793830917500379BIB010","doi-asserted-by":"publisher","DOI":"10.3934\/amc.2008.2.309"},{"key":"S1793830917500379BIB011","doi-asserted-by":"publisher","DOI":"10.1504\/IJICOT.2010.032543"},{"key":"S1793830917500379BIB012","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139172769"},{"key":"S1793830917500379BIB013","doi-asserted-by":"publisher","DOI":"10.1504\/IJICOT.2017.081457"},{"key":"S1793830917500379BIB015","volume-title":"The Geometry of the Classical Groups","author":"Taylor D. E.","year":"1992"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830917500379","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,20]],"date-time":"2019-09-20T07:44:37Z","timestamp":1568965477000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830917500379"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,4,12]]},"references-count":13,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2017,2,24]]},"published-print":{"date-parts":[[2017,6]]}},"alternative-id":["10.1142\/S1793830917500379"],"URL":"https:\/\/doi.org\/10.1142\/s1793830917500379","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,4,12]]}}}