{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T23:04:20Z","timestamp":1725663860797},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540573326"},{"type":"electronic","value":"9783540480662"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1993]]},"DOI":"10.1007\/3-540-57332-1_39","type":"book-chapter","created":{"date-parts":[[2012,2,26]],"date-time":"2012-02-26T12:50:29Z","timestamp":1330260629000},"page":"460-469","source":"Crossref","is-referenced-by-count":2,"title":["On ordinary elliptic curve cryptosystems"],"prefix":"10.1007","author":[{"given":"Atsuko","family":"Miyaji","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2005,5,28]]},"reference":[{"key":"39_CR1","unstructured":"A. O. L. Atkin and F. Morain, \u201cElliptic curves and primality proving\u201d, Research Report 1256, INRIA, Juin 1990. Submitted to Math. Comp."},{"key":"39_CR2","doi-asserted-by":"crossref","unstructured":"A. Bender and G. Castagnoli, \u201cOn the implementation of elliptic curve cryptosystems\u201d, Advances in Cryptology \u2014 Proceedings of Crypto '89, Lecture Notes in Computer Science, 435 (1990), Springer-Verlag, 186\u2013192.","DOI":"10.1007\/0-387-34805-0_18"},{"key":"39_CR3","unstructured":"T. Beth and F. Schaefer, \u201cNon supersingular elliptic curves for public key cryptosystems\u201d, Abstracts for Eurocrypto 91, Brighton, U.K. 155\u2013159."},{"key":"39_CR4","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1007\/BF02940746","volume":"14","author":"M. Deuring","year":"1941","unstructured":"M. Deuring, \u201cDie Typen der Multiplikatorenringe elliptischer Funktionenk\u00f6rper\u201d, Abh. Math. Sem. Hamburg 14 (1941), 197\u2013272.","journal-title":"Abh. Math. Sem. Hamburg"},{"key":"39_CR5","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1090\/S0025-5718-1987-0866109-5","volume":"48","author":"N. Koblitz","year":"1987","unstructured":"N. Koblitz, \u201cElliptic curve cryptosystems\u201d, Math. Comp. 48(1987), 203\u2013209.","journal-title":"Math. Comp."},{"key":"39_CR6","volume-title":"GTM114","author":"N. Koblitz","year":"1987","unstructured":"N. Koblitz, \u201cA course in Number Theory and Cryptography\u201d, GTM114, Springer-Verlag, New York(1987)."},{"key":"39_CR7","volume-title":"GTM110","author":"S. Lang","year":"1986","unstructured":"S. Lang, \u201cAlgebraic Number Theory\u201d, GTM110, Springer-Verlag, New York(1986)."},{"key":"39_CR8","unstructured":"S. Lang, \u201cElliptic Functions\u201d, Addison-Wesley, 1973."},{"key":"39_CR9","doi-asserted-by":"crossref","unstructured":"V. S. Miller, \u201cUse of elliptic curves in cryptography\u201d, Advances in Cryptology-Proceedings of Crypto'85, Lecture Notes in Computer Science, 218 (1986), Springer-Verlag, 417\u2013426.","DOI":"10.1007\/3-540-39799-X_31"},{"key":"39_CR10","doi-asserted-by":"crossref","unstructured":"A. Menezes and S. Vanstone, \u201cThe implementaion of elliptic curve cryptosystems\u201d, Advances in Cryptology \u2014 Proceedings of Auscrypt'90, Lecture Notes in Computer Science, 453(1990), Springer-Verlag, 2\u201313.","DOI":"10.1007\/BFb0030345"},{"key":"39_CR11","unstructured":"F. Morain, \u201cBuilding cyclic elliptic curves modulo large primes\u201d, Abstracts for Eurocrypto91, Brighton, U.K. 160\u2013164."},{"key":"39_CR12","doi-asserted-by":"crossref","unstructured":"A. Menezes, S. Vanstone and T. Okamoto, \u201cReducing elliptic curve logarithms to logarithms in a finite field\u201d, to appear in Proc. STOC'91.","DOI":"10.1145\/103418.103434"},{"key":"39_CR13","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-9938-4","volume-title":"The book of prime number records","author":"P. Ribenboim","year":"1988","unstructured":"P. Ribenboim, \u201cThe book of prime number records\u201d, Springer-Verlag, New-York, 1988."},{"key":"39_CR14","volume-title":"GTM106","author":"J. H. Silverman","year":"1986","unstructured":"J. H. Silverman, \u201cThe Arithmetic of Elliptic Curves\u201d, GTM106, Springer-Verlag, New York, 1986"},{"key":"39_CR15","doi-asserted-by":"crossref","unstructured":"H. Shizuya, T. Itoh and K. Sakurai, \u201cOn the Complexity of Hyperelliptic Discrete Logarithm Problem\u201d, Proc. Eurocrypt'91, Lecture Notes in Computer Science, Springer-Verlag (to appear).","DOI":"10.1007\/3-540-46416-6_29"},{"key":"39_CR16","unstructured":"T. Takagi, \u201cSyotou seisuuronn kougi\u201d, Kyouritu Syuppan."}],"container-title":["Lecture Notes in Computer Science","Advances in Cryptology \u2014 ASIACRYPT '91"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-57332-1_39.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,28]],"date-time":"2021-04-28T01:03:50Z","timestamp":1619571830000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-57332-1_39"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993]]},"ISBN":["9783540573326","9783540480662"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/3-540-57332-1_39","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[1993]]}}}