{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T03:24:11Z","timestamp":1777433051428,"version":"3.51.4"},"reference-count":25,"publisher":"American Institute of Mathematical Sciences (AIMS)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["AMC"],"published-print":{"date-parts":[[2018]]},"DOI":"10.3934\/amc.2018008","type":"journal-article","created":{"date-parts":[[2018,4,11]],"date-time":"2018-04-11T23:52:21Z","timestamp":1523490741000},"page":"123-141","source":"Crossref","is-referenced-by-count":7,"title":["Trace description and Hamming weights of irreducible constacyclic codes"],"prefix":"10.3934","volume":"12","author":[{"given":"Anuradha","family":"Sharma","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Saroj","family":"Rani","sequence":"additional","affiliation":[{"name":"Department of Mathematics, IIT Delhi,  New Delhi, 110016, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"2321","reference":[{"key":"key-10.3934\/amc.2018008-1"},{"key":"key-10.3934\/amc.2018008-2"},{"key":"key-10.3934\/amc.2018008-3"},{"key":"key-10.3934\/amc.2018008-4","unstructured":"<p> B. C. Berndt, R. J. Evans and K. S. Williams, <i>Gauss and Jacobi Sums<\/i>, John Wiley &amp; Sons Inc., New York, 1998.<\/p>"},{"key":"key-10.3934\/amc.2018008-5"},{"key":"key-10.3934\/amc.2018008-6"},{"key":"key-10.3934\/amc.2018008-7"},{"key":"key-10.3934\/amc.2018008-8","unstructured":"<p> M. Grassl, <i>Code Tables: Bounds on the Parameters of Various Types of Codes<\/i>, available at <a href=\"http:\/\/www.codetables.de\">www.codetables.de<\/a><\/p>"},{"key":"key-10.3934\/amc.2018008-9","doi-asserted-by":"publisher","DOI":"10.1007\/s40840-015-0134-0"},{"key":"key-10.3934\/amc.2018008-10"},{"key":"key-10.3934\/amc.2018008-11"},{"key":"key-10.3934\/amc.2018008-12"},{"key":"key-10.3934\/amc.2018008-13","doi-asserted-by":"crossref","unstructured":"<p>P. Langevin, A new class of two weight codes, in <i>Proc. 3rd Int. Conf. Finite Fields Appl<\/i>., Cambridge Univ. Press, 1996, 181\u2013187.<\/p>","DOI":"10.1017\/CBO9780511525988.016"},{"key":"key-10.3934\/amc.2018008-14"},{"key":"key-10.3934\/amc.2018008-15","unstructured":"<p> F. J. MacWilliams and N. J. A. Sloane, <i>The Theory of Error-Correcting Codes<\/i>, North-Holland Publ. Co., Amsterdam, 1977.<\/p>"},{"key":"key-10.3934\/amc.2018008-16"},{"key":"key-10.3934\/amc.2018008-17"},{"key":"key-10.3934\/amc.2018008-18"},{"key":"key-10.3934\/amc.2018008-19"},{"key":"key-10.3934\/amc.2018008-20"},{"key":"key-10.3934\/amc.2018008-21","doi-asserted-by":"crossref","unstructured":"<p> A. Sharma and A. K. Sharma, <i>A note on weight distributions of irreducible cyclic codes<\/i>, <i>Discrete Math. Algor. Appl.<\/i> <b>6<\/b> (2014), 17 pages.<\/p>","DOI":"10.1142\/S1793830914500414"},{"key":"key-10.3934\/amc.2018008-22","unstructured":"<p>Y. Song and Z. Li, <i>The weight enumerator of some irreducible cyclic codes<\/i>, preprint, arXiv: 1202.2907v1<\/p>"},{"key":"key-10.3934\/amc.2018008-23","unstructured":"<p> T. Storer, <i>Cyclotomy and Difference Sets<\/i>, Markham Publ. Company, Chicago, 1967.<\/p>"},{"key":"key-10.3934\/amc.2018008-24","unstructured":"<p>C. Tang, Y. Qi, M. Xu, B. Wang and Y. Yang, <i>A note on weight distributions of irreducible cyclic codes<\/i>, in <i>Proc. Int. Conf. Inform. Commun. Tech. (ICT)<\/i> 2014.<\/p>"},{"key":"key-10.3934\/amc.2018008-25"}],"container-title":["Advances in Mathematics of Communications"],"original-title":[],"link":[{"URL":"https:\/\/aimsciences.org\/download\/files\/1930-5346_2018_1_123.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T10:06:17Z","timestamp":1772791577000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.aimsciences.org\/\/article\/doi\/10.3934\/amc.2018008"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"references-count":25,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018]]}},"URL":"https:\/\/doi.org\/10.3934\/amc.2018008","relation":{},"ISSN":["1930-5346","1930-5338"],"issn-type":[{"value":"1930-5346","type":"print"},{"value":"1930-5338","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018]]}}}