{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,6]],"date-time":"2024-08-06T19:34:45Z","timestamp":1722972885785},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2006,5,1]],"date-time":"2006-05-01T00:00:00Z","timestamp":1146441600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Des Codes Crypt"],"published-print":{"date-parts":[[2006,5]]},"DOI":"10.1007\/s10623-005-3299-y","type":"journal-article","created":{"date-parts":[[2006,3,20]],"date-time":"2006-03-20T00:42:13Z","timestamp":1142815333000},"page":"189-206","source":"Crossref","is-referenced-by-count":88,"title":["Trading Inversions for Multiplications in Elliptic Curve Cryptography"],"prefix":"10.1007","volume":"39","author":[{"given":"Mathieu","family":"Ciet","sequence":"first","affiliation":[]},{"given":"Marc","family":"Joye","sequence":"additional","affiliation":[]},{"given":"Kristin","family":"Lauter","sequence":"additional","affiliation":[]},{"given":"Peter L.","family":"Montgomery","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"3299_CR1","unstructured":"IEEE Std 1363-2000, IEEE Standard Specifications for Public-Key Cryptography, IEEE Computer Society, August 29, 2000."},{"key":"3299_CR2","doi-asserted-by":"crossref","first-page":"250","DOI":"10.1007\/3-540-45353-9_19","volume-title":"Topics in Cryptology \u2013 CT-RSA 2001","author":"M. Brown","year":"2001"},{"key":"3299_CR3","volume-title":"Elliptic Curves in Cryptography","author":"I. F. Blake","year":"2000"},{"key":"3299_CR4","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1007\/3-540-49649-1_6","volume-title":"Advances in Cryptology \u2013 ASIACRYPT \u201998.","author":"H. Cohen","year":"1998"},{"issue":"6","key":"3299_CR5","doi-asserted-by":"crossref","first-page":"644","DOI":"10.1109\/TIT.1976.1055638","volume":"22","author":"W. Diffie","year":"1976","journal-title":"IEEE Transactions on Information Theory"},{"key":"3299_CR6","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1007\/3-540-36563-X_24","volume-title":"Topics in Cryptology \u2013 CT-RSA 2003","author":"K. Eisentr\u00e4ger","year":"2003"},{"key":"3299_CR7","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1007\/3-540-44647-8_11","volume-title":"Advances in Cryptology \u2013 CRYPTO 2001","author":"R.P. Gallant","year":"2001"},{"issue":"4","key":"3299_CR8","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1109\/TIT.1985.1057074","volume":"31","author":"T. ElGamal","year":"1985","journal-title":"IEEE Transactions on Information Theory"},{"issue":"1","key":"3299_CR9","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1006\/jagm.1997.0913","volume":"27","author":"D. M. Gordon","year":"1998","journal-title":"Journal of Algorithms"},{"key":"3299_CR10","doi-asserted-by":"crossref","first-page":"342","DOI":"10.1007\/BFb0052247","volume-title":"Advances in Cryptology \u2013 CRYPTO \u201997","author":"J. Guajardo","year":"1997"},{"issue":"8","key":"3299_CR11","doi-asserted-by":"crossref","first-page":"1064","DOI":"10.1109\/12.403725","volume":"44","author":"B. S. Kaliski Jr.","year":"1995","journal-title":"IEEE Transactions on Computers"},{"key":"3299_CR12","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1090\/S0025-5718-1987-0866109-5","volume":"48","author":"N. Koblitz","year":"1987","journal-title":"Mathematics of Computation"},{"key":"3299_CR13","unstructured":"\u00c7. K. Ko\u00e7 and E. Sava\u015f, Architectures for unified field inversion with applications in elliptic curve cryptography. In 9th IEEE International Conference on Electronics, Circuits and Systems (ICECS 2002), Dubrovnik, Croatia, 3 September 15\u201318 (2002) pp. 1155\u20131158."},{"key":"3299_CR14","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1007\/3-540-48658-5_11","volume-title":"Advances in Cryptology \u2013 CRYPTO \u201994","author":"C. H. Lim","year":"1994"},{"key":"3299_CR15","first-page":"201","volume-title":"Improved Algorithms for Elliptic Curve Arithmetic in GF(2n), Selected Areas in Cryptography \u2013 SAC\u00a0\u201998","author":"J. L\u00f3pez","year":"1999"},{"key":"3299_CR16","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1007\/3-540-36400-5_6","volume-title":"Cryptographic Hardware and Embedded Systems \u2013 CHES 2002","author":"R. L\u00f3rencz","year":"2003"},{"key":"3299_CR17","volume-title":"Handbook of Applied Cryptography","author":"A. J. Menezes","year":"1997"},{"key":"3299_CR18","first-page":"417","volume-title":"Advances in Cryptology \u2013 CRYPTO\u2019 85","author":"V. S. Miller","year":"1986"},{"key":"3299_CR19","unstructured":"B. M\u00f6ller, private communication."},{"issue":"170","key":"3299_CR20","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1090\/S0025-5718-1985-0777282-X","volume":"44","author":"P. L. Montgomery","year":"1985","journal-title":"Mathematics of Computation"},{"issue":"177","key":"3299_CR21","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1090\/S0025-5718-1987-0866113-7","volume":"48","author":"P. L. Montgomery","year":"1987","journal-title":"Mathematics of Computation"},{"issue":"1","key":"3299_CR22","first-page":"120","volume":"E84-A","author":"Y. Sakai","year":"2001","journal-title":"IEICE Transactions Fundamentals"},{"issue":"7","key":"3299_CR23","doi-asserted-by":"crossref","first-page":"763","DOI":"10.1109\/12.863048","volume":"49","author":"E. Sava\u015f","year":"2000","journal-title":"IEEE Transactions on Computers"},{"key":"3299_CR24","unstructured":"J. A. Solinas, Low-weight binary representations for pairs of integers, Tech. Report CORR 2001\/41, CACR, Waterloo (2001)."},{"key":"3299_CR25","first-page":"806","volume":"70","author":"E. G. Straus","year":"1964","journal-title":"American Mathematical Monthly"}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-005-3299-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10623-005-3299-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-005-3299-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,30]],"date-time":"2019-05-30T15:50:05Z","timestamp":1559231405000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10623-005-3299-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,5]]},"references-count":25,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2006,5]]}},"alternative-id":["3299"],"URL":"https:\/\/doi.org\/10.1007\/s10623-005-3299-y","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"value":"0925-1022","type":"print"},{"value":"1573-7586","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,5]]}}}