{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,13]],"date-time":"2023-09-13T19:56:23Z","timestamp":1694634983395},"reference-count":45,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"12","license":[{"start":{"date-parts":[[2008,12,1]],"date-time":"2008-12-01T00:00:00Z","timestamp":1228089600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2008,12]]},"DOI":"10.1109\/tit.2008.2006434","type":"journal-article","created":{"date-parts":[[2008,12,1]],"date-time":"2008-12-01T21:30:00Z","timestamp":1228167000000},"page":"5354-5380","source":"Crossref","is-referenced-by-count":2,"title":["Sharp $p$-Divisibility of Weights in Abelian Codes Over ${\\BBZ}\/p^d{\\BBZ}$"],"prefix":"10.1109","volume":"54","author":[{"given":"Daniel J.","family":"Katz","sequence":"first","affiliation":[]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(79)90123-7"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1986.1057134"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/18.340486"},{"key":"ref32","first-page":"195","article-title":"finite associative rings","volume":"21","author":"raghavendran","year":"1969","journal-title":"Composito Math"},{"key":"ref31","first-page":"123","article-title":"kerdock's code in cyclic form","volume":"1","author":"nechaev","year":"1989","journal-title":"Diskret Mat"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(72)90032-5"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/18.212272"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-9800(66)80017-0"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-5673-9"},{"key":"ref34","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-9884-4","author":"serre","year":"1973","journal-title":"A Course in Arithmetic"},{"key":"ref10","first-page":"389","article-title":"automorphisms of abelian codes","volume":"25","author":"delsarte","year":"1970","journal-title":"Philips Res Rep"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1983.1056674"},{"key":"ref11","first-page":"145","article-title":"weights of -ary abelian codes","volume":"26","author":"delsarte","year":"1971","journal-title":"Philips Res Rep"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.2307\/2373622"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/18.923728"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/18.312154"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(76)90100-X"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/18.508843"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/0097-3165(80)90051-5"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1006\/ffta.2000.0281"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(71)90473-6"},{"key":"ref28","author":"mceliece","year":"1967","journal-title":"Linear Recurring Sequences Over Finite Fields"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-48519-8_14"},{"key":"ref27","author":"mcdonald","year":"1974","journal-title":"Finite Rings with Identity"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-45539-6_36"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1137\/S0895480198350057"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/0097-3165(71)90066-5"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/18.817504"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/S0764-4442(00)01720-1"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-46035-7_34"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/18.568706"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/18.825842"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/18.21259"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.839495"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2004.10.030"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.864428"},{"key":"ref21","author":"katz","year":"2005","journal-title":"On $p$ -Adic estimates of weights in Abelian codes over Galois rings"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(90)90015-A"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/11779360_32"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1093\/qmath\/34.1.115"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.834743"},{"key":"ref44","author":"wilson","year":"1995","journal-title":"A version for the Lee metric of a theorem of McEliece and weights of codewords in cyclic codes"},{"key":"ref26","volume":"76","author":"mahler","year":"1981","journal-title":"-adic Numbers and Their Functions"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(94)90392-1"},{"key":"ref25","author":"mahler","year":"1973","journal-title":"Introduction to -adic Numbers and Their Functions"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/18\/4675712\/04675722.pdf?arnumber=4675722","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,29]],"date-time":"2021-11-29T20:47:24Z","timestamp":1638218844000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/4675722\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,12]]},"references-count":45,"journal-issue":{"issue":"12"},"URL":"https:\/\/doi.org\/10.1109\/tit.2008.2006434","relation":{},"ISSN":["0018-9448"],"issn-type":[{"value":"0018-9448","type":"print"}],"subject":[],"published":{"date-parts":[[2008,12]]}}}