{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,9]],"date-time":"2026-04-09T22:33:53Z","timestamp":1775774033237,"version":"3.50.1"},"publisher-location":"Cham","reference-count":25,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783030953119","type":"print"},{"value":"9783030953126","type":"electronic"}],"license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022]]},"DOI":"10.1007\/978-3-030-95312-6_4","type":"book-chapter","created":{"date-parts":[[2022,1,29]],"date-time":"2022-01-29T17:08:51Z","timestamp":1643476131000},"page":"73-95","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Fully Projective Radical Isogenies in Constant-Time"],"prefix":"10.1007","author":[{"given":"Jes\u00fas-Javier","family":"Chi-Dom\u00ednguez","sequence":"first","affiliation":[]},{"given":"Krijn","family":"Reijnders","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,1,29]]},"reference":[{"key":"4_CR1","unstructured":"Adj, G., Chi-Dom\u00ednguez, J., Rodr\u00edguez-Henr\u00edquez, F.: Karatsuba-based square-root V\u00e9lu\u2019s formulas applied to two isogeny-based protocols. IACR Cryptology ePrint Archive, p. 1109 (2020). https:\/\/eprint.iacr.org\/2020\/1109"},{"key":"4_CR2","unstructured":"Azarderakhsh, R., et al.: Supersingular isogeny key encapsulation. In: Third Round Candidate of the NIST\u2019s Post-Quantum Cryptography Standardization Process (2020). https:\/\/sike.org\/"},{"key":"4_CR3","unstructured":"Banegas, G., et al.: CTIDH: faster constant-time CSIDH. Cryptology ePrint Archive, Report 2021\/633 (2021). https:\/\/ia.cr\/2021\/633"},{"key":"4_CR4","doi-asserted-by":"crossref","unstructured":"Bernstein, D.J., De Feo, L., Leroux, A., Smith, B.: Faster computation of isogenies of large prime degree. IACR Cryptology ePrint Archive 2020, 341 (2020)","DOI":"10.2140\/obs.2020.4.39"},{"key":"4_CR5","doi-asserted-by":"publisher","unstructured":"Bernstein, D.J., Yang, B.: Fast constant-time GCD computation and modular inversion. IACR Trans. Cryptogr. Hardw. Embed. Syst. 2019(3), 340\u2013398 (2019). https:\/\/doi.org\/10.13154\/tches.v2019.i3.340-398","DOI":"10.13154\/tches.v2019.i3.340-398"},{"key":"4_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"493","DOI":"10.1007\/978-3-030-45724-2_17","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2020","author":"X Bonnetain","year":"2020","unstructured":"Bonnetain, X., Schrottenloher, A.: Quantum security analysis of CSIDH. In: Canteaut, A., Ishai, Y. (eds.) EUROCRYPT 2020. LNCS, vol. 12106, pp. 493\u2013522. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-45724-2_17"},{"key":"4_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1007\/978-3-030-44223-1_7","volume-title":"Post-Quantum Cryptography","author":"W Castryck","year":"2020","unstructured":"Castryck, W., Decru, T.: CSIDH on the surface. In: Ding, J., Tillich, J.P. (eds.) PQCrypto 2020. LNCS, vol. 12100, pp. 111\u2013129. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-44223-1_7"},{"key":"4_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"493","DOI":"10.1007\/978-3-030-64834-3_17","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2020","author":"W Castryck","year":"2020","unstructured":"Castryck, W., Decru, T., Vercauteren, F.: Radical isogenies. In: Moriai, S., Wang, H. (eds.) ASIACRYPT 2020. LNCS, vol. 12492, pp. 493\u2013519. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-64834-3_17"},{"key":"4_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1007\/978-3-030-03332-3_15","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2018","author":"W Castryck","year":"2018","unstructured":"Castryck, W., Lange, T., Martindale, C., Panny, L., Renes, J.: CSIDH: an efficient post-quantum commutative group action. In: Peyrin, T., Galbraith, S. (eds.) ASIACRYPT 2018. LNCS, vol. 11274, pp. 395\u2013427. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-030-03332-3_15"},{"key":"4_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1007\/978-3-030-30530-7_9","volume-title":"Progress in Cryptology \u2013 LATINCRYPT 2019","author":"D Cervantes-V\u00e1zquez","year":"2019","unstructured":"Cervantes-V\u00e1zquez, D., Chenu, M., Chi-Dom\u00ednguez, J.J., De Feo, L., Rodr\u00edguez-Henr\u00edquez, F., Smith, B.: Stronger and faster side-channel protections for CSIDH. In: Schwabe, P., Th\u00e9riault, N. (eds.) LATINCRYPT 2019. LNCS, vol. 11774, pp. 173\u2013193. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-30530-7_9"},{"key":"4_CR11","unstructured":"Ch\u00e1vez-Saab, J., Chi-Dom\u00ednguez, J., Jaques, S., Rodr\u00edguez-Henr\u00edquez, F.: The SQALE of CSIDH: square-root v\u00e9lu quantum-resistant isogeny action with low exponents. IACR Cryptology ePrint Archive 2020, 1520 (2020). https:\/\/eprint.iacr.org\/2020\/1520"},{"key":"4_CR12","unstructured":"Chi-Dom\u00ednguez, J., Rodr\u00edguez-Henr\u00edquez, F.: Optimal strategies for CSIDH. IACR Cryptology ePrint Archive 2020, 417 (2020)"},{"key":"4_CR13","unstructured":"Couveignes, J.M.: Hard homogeneous spaces. Cryptology ePrint Archive, Report 2006\/291 (2006). http:\/\/eprint.iacr.org\/2006\/291"},{"key":"4_CR14","doi-asserted-by":"crossref","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)","DOI":"10.1515\/jmc-2012-0015"},{"key":"4_CR15","unstructured":"Hutchinson, A., LeGrow, J., Koziel, B., Azarderakhsh, R.: Further optimizations of CSIDH: a systematic approach to efficient strategies, permutations, and bound vectors. Cryptology ePrint Archive, Report 2019\/1121 (2019). https:\/\/ia.cr\/2019\/1121"},{"key":"4_CR16","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":"4_CR17","unstructured":"McLoughlinn, M.B.: Addchain: cryptographic addition chain generation in go. Github Repository (2020). https:\/\/github.com\/mmcloughlin\/addchain"},{"key":"4_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1007\/978-3-030-25510-7_17","volume-title":"Post-Quantum Cryptography","author":"M Meyer","year":"2019","unstructured":"Meyer, M., Campos, F., Reith, S.: On Lions and Elligators: an efficient constant-time implementation of CSIDH. In: Ding, J., Steinwandt, R. (eds.) PQCrypto 2019. LNCS, vol. 11505, pp. 307\u2013325. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-25510-7_17"},{"key":"4_CR19","unstructured":"Nakagawa, K., Onuki, H., Takayasu, A., Takagi, T.: $$l_1$$-norm ball for CSIDH: optimal strategy for choosing the secret key space. Cryptology ePrint Archive, Report 2020\/181 (2020). https:\/\/ia.cr\/2020\/181"},{"key":"4_CR20","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1007\/978-3-030-26834-3_2","volume-title":"Advances in Information and Computer Security","author":"H Onuki","year":"2019","unstructured":"Onuki, H., Aikawa, Y., Yamazaki, T., Takagi, T.: (Short Paper) a faster constant-time algorithm of CSIDH keeping two points. In: Attrapadung, N., Yagi, T. (eds.) IWSEC 2019. LNCS, vol. 11689, pp. 23\u201333. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-26834-3_2"},{"key":"4_CR21","unstructured":"Onuki, H., Moriya, T.: Radical isogenies on montgomery curves. IACR Cryptology ePrint Archive 2021, 699 (2021). https:\/\/eprint.iacr.org\/2021\/699"},{"key":"4_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"463","DOI":"10.1007\/978-3-030-45724-2_16","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2020","author":"C Peikert","year":"2020","unstructured":"Peikert, C.: He gives C-sieves on the CSIDH. In: Canteaut, A., Ishai, Y. (eds.) EUROCRYPT 2020. LNCS, vol. 12106, pp. 463\u2013492. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-45724-2_16"},{"key":"4_CR23","unstructured":"Rostovtsev, A., Stolbunov, A.: Public-key cryptosystem based on isogenies. IACR Cryptology ePrint Archive 2006, 145 (2006). http:\/\/eprint.iacr.org\/2006\/145"},{"issue":"2","key":"4_CR24","doi-asserted-by":"publisher","first-page":"215","DOI":"10.3934\/amc.2010.4.215","volume":"4","author":"A Stolbunov","year":"2010","unstructured":"Stolbunov, A.: Constructing public-key cryptographic schemes based on class group action on a set of isogenous elliptic curves. Adv. Math. Comm. 4(2), 215\u2013235 (2010)","journal-title":"Adv. Math. Comm."},{"key":"4_CR25","unstructured":"V\u00e9lu, J.: Isog\u00e9nies entre courbes elliptiques. C. R. Acad. Sci. Paris S\u00e9r. A-B 273, A238\u2013A241 (1971)"}],"container-title":["Lecture Notes in Computer Science","Topics in Cryptology \u2013 CT-RSA 2022"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-95312-6_4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,13]],"date-time":"2024-03-13T11:23:56Z","timestamp":1710329036000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-95312-6_4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022]]},"ISBN":["9783030953119","9783030953126"],"references-count":25,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-95312-6_4","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022]]},"assertion":[{"value":"29 January 2022","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"CT-RSA","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Cryptographers\u2019 Track at the RSA Conference","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"San Francisco, CA","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":"2022","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"7 February 2022","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"10 February 2022","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"ctrsa2022","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/ct-rsa-2022.auckland.ac.nz\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Double-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"87","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"24","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"28% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"6","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}