{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T15:57:51Z","timestamp":1761580671359},"publisher-location":"Berlin, Heidelberg","reference-count":12,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642007293"},{"type":"electronic","value":"9783642007309"}],"license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009]]},"DOI":"10.1007\/978-3-642-00730-9_4","type":"book-chapter","created":{"date-parts":[[2009,3,17]],"date-time":"2009-03-17T11:22:23Z","timestamp":1237288943000},"page":"52-65","source":"Crossref","is-referenced-by-count":5,"title":["Simple Algorithms for Computing a Sequence of 2-Isogenies"],"prefix":"10.1007","author":[{"given":"Reo","family":"Yoshida","sequence":"first","affiliation":[]},{"given":"Katsuyuki","family":"Takashima","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"4_CR1","doi-asserted-by":"crossref","unstructured":"Auer, R., Top, J.: Legendre elliptic curves over finite fields. J. Number Theory\u00a095, 303\u2013312 (2002)","DOI":"10.1006\/jnth.2001.2760"},{"key":"4_CR2","doi-asserted-by":"crossref","unstructured":"Charles, D.X., Goren, E.Z., Lauter, K.E.: Cryptographic hash functions from expander graphs. To appear in Journal of Cryptology, electronically (2007), http:\/\/www.springerlink.com\/","DOI":"10.1007\/s00145-007-9002-x"},{"key":"4_CR3","doi-asserted-by":"crossref","unstructured":"Cohen, H., Frey, G., et al.: Handbook of Elliptic and Hyperelliptic Curve Cryptography. Chapman and Hall, Boca Raton (2006)","DOI":"10.1201\/9781420034981"},{"key":"4_CR4","doi-asserted-by":"crossref","unstructured":"Hoory, S., Linial, N., Wigderson, A.: Expander graphs and their applications. Bull. AMS\u00a043(4), 439\u2013561 (2006)","DOI":"10.1090\/S0273-0979-06-01126-8"},{"key":"4_CR5","unstructured":"Goldreich, O.: Candidate one-way functions based on expander graphs. Elect. Colloq. on Computational Complexity (ECCC) 7(090) (2000)"},{"key":"4_CR6","unstructured":"Goldreich, O.: Randomized Methods in Computation - Lecture Notes (2001), http:\/\/www.wisdom.weizmann.ac.il\/~oded\/rnd.html"},{"key":"4_CR7","doi-asserted-by":"crossref","unstructured":"Pizer, A.K.: Ramanujan graphs and Hecke operators. Bull. AMS\u00a023(1), 127\u2013137 (1990)","DOI":"10.1090\/S0273-0979-1990-15918-X"},{"key":"4_CR8","unstructured":"Rostovtsev, A., Stolbunov, A.: Public-key cryptosystem based on isogenies (preprint, 2006), http:\/\/eprint.iacr.org"},{"key":"4_CR9","doi-asserted-by":"crossref","unstructured":"Schoof, R.: Nonsingular plane cubic curves over finite fields. J. Comb. Th., Series A\u00a046, 183\u2013211 (1990)","DOI":"10.1016\/0097-3165(87)90003-3"},{"key":"4_CR10","doi-asserted-by":"crossref","unstructured":"Silverman, J.H.: The Arithmetic of Elliptic Curves, GTM 106. Springer, Heidelberg (1986)","DOI":"10.1007\/978-1-4757-1920-8"},{"key":"4_CR11","doi-asserted-by":"crossref","unstructured":"Tate, J.: Endomorphisms of Abelian varieties over finite fields. Inv. Math.\u00a02, 134\u2013144 (1966)","DOI":"10.1007\/BF01404549"},{"key":"4_CR12","unstructured":"V\u00e9lu, J.: Isog\u00e9nies entre courbes elliptiques. Comptes-Rendus de l\u2019Acad\u00e9mie des Sciences\u00a0273, 238\u2013241 (1971)"}],"container-title":["Lecture Notes in Computer Science","Information Security and Cryptology \u2013 ICISC 2008"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-00730-9_4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,18]],"date-time":"2019-05-18T21:28:15Z","timestamp":1558214895000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-00730-9_4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009]]},"ISBN":["9783642007293","9783642007309"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-00730-9_4","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2009]]}}}