{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,7]],"date-time":"2026-03-07T14:17:34Z","timestamp":1772893054287,"version":"3.50.1"},"publisher-location":"Cham","reference-count":27,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783319790626","type":"print"},{"value":"9783319790633","type":"electronic"}],"license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-319-79063-3_11","type":"book-chapter","created":{"date-parts":[[2018,3,31]],"date-time":"2018-03-31T14:23:38Z","timestamp":1522506218000},"page":"229-247","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":42,"title":["Computing Isogenies Between Montgomery Curves Using the\u00a0Action\u00a0of\u00a0(0, 0)"],"prefix":"10.1007","author":[{"given":"Joost","family":"Renes","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,4,1]]},"reference":[{"key":"11_CR1","unstructured":"Accredited Standards Committee X9. American National Standard X9.62-1999, Public key cryptography for the financial services industry: the elliptic curve digital signature algorithm (ECDSA). Technical report, ANSI (1999)"},{"key":"11_CR2","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1007\/978-3-319-22174-8_15","volume-title":"Progress in Cryptology \u2013 LATINCRYPT 2015","author":"DJ Bernstein","year":"2015","unstructured":"Bernstein, D.J., Chuengsatiansup, C., Kohel, D., Lange, T.: Twisted hessian curves. In: Lauter, K., Rodr\u00edguez-Henr\u00edquez, F. (eds.) LATINCRYPT 2015. LNCS, vol. 9230, pp. 269\u2013294. Springer, Cham (2015). https:\/\/doi.org\/10.1007\/978-3-319-22174-8_15"},{"issue":"2","key":"11_CR3","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1007\/s13389-012-0027-1","volume":"2","author":"DJ Bernstein","year":"2012","unstructured":"Bernstein, D.J., Duif, N., Lange, T., Schwabe, P., Yang, B.-Y.: High-speed high-security signatures. J. Cryptogr. Eng. 2(2), 77\u201389 (2012)","journal-title":"J. Cryptogr. Eng."},{"key":"11_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1007\/11745853_14","volume-title":"Public Key Cryptography - PKC 2006","author":"DJ Bernstein","year":"2006","unstructured":"Bernstein, D.J.: Curve25519: new Diffie-Hellman speed records. In: Yung, M., Dodis, Y., Kiayias, A., Malkin, T. (eds.) PKC 2006. LNCS, vol. 3958, pp. 207\u2013228. Springer, Heidelberg (2006). https:\/\/doi.org\/10.1007\/11745853_14"},{"issue":"3","key":"11_CR5","first-page":"269","volume":"1","author":"R Br\u00f6ker","year":"2009","unstructured":"Br\u00f6ker, R.: Constructing supersingular elliptic curves. J. Comb. Number Theory 1(3), 269\u2013273 (2009)","journal-title":"J. Comb. Number Theory"},{"key":"11_CR6","doi-asserted-by":"crossref","unstructured":"Costello, C., Hisil, H.: A simple and compact algorithm for SIDH with arbitrary degree isogenies. Cryptology ePrint Archive, Report 2017\/504 (2017)","DOI":"10.1007\/978-3-319-70697-9_11"},{"key":"11_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"679","DOI":"10.1007\/978-3-319-56620-7_24","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2017","author":"C Costello","year":"2017","unstructured":"Costello, C., Jao, D., Longa, P., Naehrig, M., Renes, J., Urbanik, D.: Efficient compression of SIDH public keys. In: Coron, J.-S., Nielsen, J.B. (eds.) EUROCRYPT 2017. LNCS, vol. 10210, pp. 679\u2013706. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-56620-7_24"},{"key":"11_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"572","DOI":"10.1007\/978-3-662-53018-4_21","volume-title":"Advances in Cryptology \u2013 CRYPTO 2016","author":"C Costello","year":"2016","unstructured":"Costello, C., Longa, P., Naehrig, M.: Efficient algorithms for supersingular isogeny Diffie-Hellman. In: Robshaw, M., Katz, J. (eds.) CRYPTO 2016. LNCS, vol. 9814, pp. 572\u2013601. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-53018-4_21"},{"key":"11_CR9","unstructured":"Costello, C., Longa, P., Naehrig, M.: SIDH Library (2016). http:\/\/research.microsoft.com\/en-us\/downloads\/bd5fd4cd-61b6-458a-bd94-b1f406a3f33f\/"},{"key":"11_CR10","unstructured":"Couveignes, J.M.: Hard Homogeneous Spaces. IACR Cryptology ePrint Archive (2006)"},{"issue":"6","key":"11_CR11","doi-asserted-by":"publisher","first-page":"644","DOI":"10.1109\/TIT.1976.1055638","volume":"22","author":"W Diffie","year":"1976","unstructured":"Diffie, W., Hellman, M.E.: New directions in cryptography. IEEE Trans. Inf. Theory 22(6), 644\u2013654 (1976)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"3","key":"11_CR12","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1515\/jmc-2012-0015","volume":"8","author":"L De Feo","year":"2014","unstructured":"De Feo, L., Jao, D., Pl\u00fbt, J.: Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies. J. Math. Cryptol. 8(3), 209\u2013247 (2014)","journal-title":"J. Math. Cryptol."},{"key":"11_CR13","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139012843","volume-title":"Mathematics of Public Key Cryptography","author":"SD Galbraith","year":"2012","unstructured":"Galbraith, S.D.: Mathematics of Public Key Cryptography. Cambridge University Press, Cambridge (2012)"},{"key":"11_CR14","series-title":"Graduate Texts in Mathematics","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-5119-2","volume-title":"Elliptic Curves","author":"D Husem\u00f6ller","year":"2004","unstructured":"Husem\u00f6ller, D.: Elliptic Curves. Graduate Texts in Mathematics. Springer, New York (2004). https:\/\/doi.org\/10.1007\/978-1-4757-5119-2"},{"key":"11_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1007\/978-3-642-25405-5_2","volume-title":"Post-Quantum Cryptography","author":"D Jao","year":"2011","unstructured":"Jao, D., De Feo, L.: Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies. In: Yang, B.-Y. (ed.) PQCrypto 2011. LNCS, vol. 7071, pp. 19\u201334. Springer, Heidelberg (2011). https:\/\/doi.org\/10.1007\/978-3-642-25405-5_2"},{"key":"11_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1007\/978-3-319-49890-4_11","volume-title":"Progress in Cryptology \u2013 INDOCRYPT 2016","author":"B Koziel","year":"2016","unstructured":"Koziel, B., Azarderakhsh, R., Mozaffari-Kermani, M.: Fast hardware architectures for supersingular isogeny diffie-hellman key exchange on FPGA. In: Dunkelman, O., Sanadhya, S.K. (eds.) INDOCRYPT 2016. LNCS, vol. 10095, pp. 191\u2013206. Springer, Cham (2016). https:\/\/doi.org\/10.1007\/978-3-319-49890-4_11"},{"key":"11_CR17","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1090\/S0025-5718-1987-0866109-5","volume":"48","author":"N Koblitz","year":"1987","unstructured":"Koblitz, N.: Elliptic curve cryptosystems. Math. Comput. 48, 203\u2013209 (1987)","journal-title":"Math. Comput."},{"key":"11_CR18","doi-asserted-by":"publisher","first-page":"649","DOI":"10.2307\/1971363","volume":"126","author":"HW Lenstra","year":"1987","unstructured":"Lenstra, H.W.: Factoring integers with elliptic curves. Ann. Math. 126, 649\u2013673 (1987)","journal-title":"Ann. Math."},{"key":"11_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"417","DOI":"10.1007\/3-540-39799-X_31","volume-title":"Advances in Cryptology \u2014 CRYPTO \u201985 Proceedings","author":"VS Miller","year":"1986","unstructured":"Miller, V.S.: Use of elliptic curves in cryptography. In: Williams, H.C. (ed.) CRYPTO 1985. LNCS, vol. 218, pp. 417\u2013426. Springer, Heidelberg (1986). https:\/\/doi.org\/10.1007\/3-540-39799-X_31"},{"issue":"177","key":"11_CR20","doi-asserted-by":"publisher","first-page":"243","DOI":"10.1090\/S0025-5718-1987-0866113-7","volume":"48","author":"PL Montgomery","year":"1987","unstructured":"Montgomery, P.L.: Speeding the pollard and elliptic curve methods of factorization. Math. Comput. 48(177), 243\u2013264 (1987)","journal-title":"Math. Comput."},{"issue":"300","key":"11_CR21","doi-asserted-by":"publisher","first-page":"1929","DOI":"10.1090\/mcom\/3036","volume":"85","author":"D Moody","year":"2016","unstructured":"Moody, D., Shumow, D.: Analogues of V\u00e9lu\u2019s formulas for isogenies on alternate models of elliptic curves. Math. Comput. 85(300), 1929\u20131951 (2016)","journal-title":"Math. Comput."},{"key":"11_CR22","unstructured":"Rostovtsev, A., Stolbunov, A.: Public-key cryptosystem based on isogenies. IACR Cryptology ePrint Archive, 2006:145 (2006)"},{"key":"11_CR23","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"239","DOI":"10.1007\/0-387-34805-0_22","volume-title":"Advances in Cryptology \u2014 CRYPTO\u2019 89 Proceedings","author":"CP Schnorr","year":"1990","unstructured":"Schnorr, C.P.: Efficient identification and signatures for smart cards. In: Brassard, G. (ed.) CRYPTO 1989. LNCS, vol. 435, pp. 239\u2013252. Springer, New York (1990). https:\/\/doi.org\/10.1007\/0-387-34805-0_22"},{"key":"11_CR24","unstructured":"Shor, P.W.: Algorithms for quantum computation: discrete logarithms and factoring. In: 35th Annual Symposium on Foundations of Computer Science, 1994 Proceedings, pp. 124\u2013134. IEEE (1994)"},{"key":"11_CR25","series-title":"Graduate Texts in Mathematics","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-09494-6","volume-title":"The Arithmetic of Elliptic Curves","author":"JH Silverman","year":"2009","unstructured":"Silverman, J.H.: The Arithmetic of Elliptic Curves. Graduate Texts in Mathematics, 2nd edn. Springer, New York (2009). https:\/\/doi.org\/10.1007\/978-0-387-09494-6","edition":"2"},{"key":"11_CR26","first-page":"238","volume":"273","author":"J V\u00e9lu","year":"1971","unstructured":"V\u00e9lu, J.: Isog\u00e9nies entre courbes elliptiques. Comptes Rendus de l\u2019Acad\u00e9mie des Sciences des Paris 273, 238\u2013241 (1971)","journal-title":"Comptes Rendus de l\u2019Acad\u00e9mie des Sciences des Paris"},{"key":"11_CR27","unstructured":"Zanon, G.H.M., Simplicio Jr., M.A., Pereira, G.C.C.F., Doliskani, J., Barreto, P.S.L.M.: Faster isogeny-based compressed key agreement. Cryptology ePrint Archive, Report 2017\/1143 (2017). https:\/\/eprint.iacr.org\/2017\/1143"}],"container-title":["Lecture Notes in Computer Science","Post-Quantum Cryptography"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-79063-3_11","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,13]],"date-time":"2024-03-13T14:31:11Z","timestamp":1710340271000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-79063-3_11"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"ISBN":["9783319790626","9783319790633"],"references-count":27,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-79063-3_11","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018]]},"assertion":[{"value":"1 April 2018","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"PQCrypto","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Post-Quantum Cryptography","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Fort Lauderdale","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"USA","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2018","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"9 April 2018","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"11 April 2018","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"9","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"pqcrypto2018","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/www.math.fau.edu\/pqcrypto2018\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}