{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,3,13]],"date-time":"2024-03-13T16:33:40Z","timestamp":1710347620744},"reference-count":9,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1988,3,1]],"date-time":"1988-03-01T00:00:00Z","timestamp":573177600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Combinatorica"],"published-print":{"date-parts":[[1988,3]]},"DOI":"10.1007\/bf02122554","type":"journal-article","created":{"date-parts":[[2005,10,29]],"date-time":"2005-10-29T06:29:39Z","timestamp":1130567379000},"page":"75-81","source":"Crossref","is-referenced-by-count":21,"title":["Dual vectors and lower bounds for the nearest lattice point problem"],"prefix":"10.1007","volume":"8","author":[{"given":"J.","family":"Hastad","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"BF02122554_CR1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF02579403","volume":"6","author":"L. Babai","year":"1986","unstructured":"L. Babai, On Lov\u00e1sz' lattice reduction and the nearest lattice point problem,Combinatorica,6 (1986), 1\u201313.","journal-title":"Combinatorica"},{"key":"BF02122554_CR2","volume-title":"An Introduction to the Geometry of Numbers","author":"J. W. S. Cassels","year":"1971","unstructured":"J. W. S. Cassels,An Introduction to the Geometry of Numbers, Springer Verlag, Heidelberg 1971."},{"key":"BF02122554_CR3","unstructured":"P.Van Emde Boas, AnotherNP-complete problem and the complexity of computing short vectors in a lattice,Math. Dept. Report 81-04. Univ. of Amsterdam, April 1981."},{"key":"BF02122554_CR4","unstructured":"R.Kannan, Minkowski's convex body theorem and integer programming,to appear in Mathematics of Operations Research."},{"key":"BF02122554_CR5","unstructured":"A. I.Khinchin, A quantitative formulation of Kronecker's theory of approximation,Inv. Akad. Nauk. SSSR (ser. Mat),12 113\u2013122 (in russian)."},{"key":"BF02122554_CR6","doi-asserted-by":"crossref","first-page":"366","DOI":"10.1007\/BF01442795","volume":"6","author":"A. Korkine","year":"1973","unstructured":"A. Korkine andG. Zolotarev, Sur les formes quadratiques,Mathematiche Annalen,6 (1973), 366\u2013389.","journal-title":"Mathematiche Annalen"},{"key":"BF02122554_CR7","unstructured":"J. C.Lagarias, H. W.Lenstra and C. P.Schnorr, Korkine-Zolotarev bases and the successive minima of a lattice and its reciprocal lattice,to appear in Combinatorica."},{"key":"BF02122554_CR8","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1007\/BF01457454","volume":"261","author":"A. K. Lenstra","year":"1982","unstructured":"A. K. Lenstra, H. W. Lenstra andL. Lov\u00e1sz, Factoring polynomials withrational coefficients,Math. Ann. 261 (1982), 515\u2013534.","journal-title":"Math. Ann."},{"key":"BF02122554_CR9","unstructured":"L.Lov\u00e1sz,personal communication."}],"container-title":["Combinatorica"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02122554.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02122554\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02122554","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,14]],"date-time":"2019-05-14T01:22:27Z","timestamp":1557796947000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02122554"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1988,3]]},"references-count":9,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1988,3]]}},"alternative-id":["BF02122554"],"URL":"https:\/\/doi.org\/10.1007\/bf02122554","relation":{},"ISSN":["0209-9683","1439-6912"],"issn-type":[{"value":"0209-9683","type":"print"},{"value":"1439-6912","type":"electronic"}],"subject":[],"published":{"date-parts":[[1988,3]]}}}