{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T07:42:55Z","timestamp":1775806975040,"version":"3.50.1"},"reference-count":11,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Comput."],"published-print":{"date-parts":[[1989,8]]},"DOI":"10.1137\/0218045","type":"journal-article","created":{"date-parts":[[2005,2,24]],"date-time":"2005-02-24T06:32:44Z","timestamp":1109226764000},"page":"658-669","source":"Crossref","is-referenced-by-count":70,"title":["Worst-Case Complexity Bounds on Algorithms for Computing the Canonical Structure of Finite Abelian Groups and the Hermite and Smith Normal Forms of an Integer Matrix"],"prefix":"10.1137","volume":"18","author":[{"given":"Costas S.","family":"Iliopoulos","sequence":"first","affiliation":[]}],"member":"351","reference":[{"key":"R1","volume-title":"The design and analysis of computer algorithms","author":"Aho A.","year":"1975"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1137\/0211057"},{"key":"R4","unstructured":"F. R. Gantmacher, Matrix Theory, Vol. 1, Chelsea, New York, 1960, 26\u2013"},{"key":"R5","first-page":"191","volume":"41","author":"Hermite C.","year":"1851","journal-title":"J. R. Augeur, Math."},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1137\/0208040"},{"key":"R7","volume-title":"Seminumerical Algorithms","author":"Knuth D.","year":"1974"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1090\/psapm\/020\/0357556"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1007\/BF00289520"},{"key":"R10","first-page":"281","volume":"7","author":"Sch\u00f6nhage A.","year":"1971","journal-title":"Computing (Arch. Elektron. Rechnen)"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1098\/rstl.1861.0016"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1007\/BF02165411"}],"container-title":["SIAM Journal on Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/0218045","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,1,29]],"date-time":"2017-01-29T12:22:43Z","timestamp":1485692563000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/0218045"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1989,8]]},"references-count":11,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1989,8]]}},"alternative-id":["10.1137\/0218045"],"URL":"https:\/\/doi.org\/10.1137\/0218045","relation":{},"ISSN":["0097-5397","1095-7111"],"issn-type":[{"value":"0097-5397","type":"print"},{"value":"1095-7111","type":"electronic"}],"subject":[],"published":{"date-parts":[[1989,8]]}}}