{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T21:42:01Z","timestamp":1769722921744,"version":"3.49.0"},"publisher-location":"Cham","reference-count":32,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783030812928","type":"print"},{"value":"9783030812935","type":"electronic"}],"license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"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":[[2021]]},"DOI":"10.1007\/978-3-030-81293-5_15","type":"book-chapter","created":{"date-parts":[[2021,7,14]],"date-time":"2021-07-14T23:07:39Z","timestamp":1626304059000},"page":"277-295","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["SimS: A Simplification of SiGamal"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1821-8406","authenticated-orcid":false,"given":"Tako Boris","family":"Fouotsa","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3482-6743","authenticated-orcid":false,"given":"Christophe","family":"Petit","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,7,15]]},"reference":[{"key":"15_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"92","DOI":"10.1007\/BFb0053428","volume-title":"Advances in Cryptology \u2014 EUROCRYPT\u201994","author":"M Bellare","year":"1995","unstructured":"Bellare, M., Rogaway, P.: Optimal asymmetric encryption. In: De Santis, A. (ed.) EUROCRYPT 1994. LNCS, vol. 950, pp. 92\u2013111. Springer, Heidelberg (1995). https:\/\/doi.org\/10.1007\/BFb0053428"},{"key":"15_CR2","unstructured":"Bernstein, D.J., Feo, L.D., Leroux, A., Smith, B.: Faster computation of isogenies of large prime degree. Cryptology ePrint Archive, Report 2020\/341 (2020). https:\/\/eprint.iacr.org\/2020\/341"},{"key":"15_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1007\/978-3-030-34578-5_9","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2019","author":"W Beullens","year":"2019","unstructured":"Beullens, W., Kleinjung, T., Vercauteren, F.: CSI-FiSh: efficient isogeny based signatures through class group computations. In: Galbraith, S.D., Moriai, S. (eds.) ASIACRYPT 2019. LNCS, vol. 11921, pp. 227\u2013247. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-34578-5_9"},{"key":"15_CR4","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":"15_CR5","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":"15_CR6","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":"15_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"92","DOI":"10.1007\/978-3-030-56880-1_4","volume-title":"Advances in Cryptology \u2013 CRYPTO 2020","author":"W Castryck","year":"2020","unstructured":"Castryck, W., Sot\u00e1kov\u00e1, J., Vercauteren, F.: Breaking the decisional Diffie-Hellman problem for class group actions using genus theory. In: Micciancio, D., Ristenpart, T. (eds.) CRYPTO 2020. LNCS, vol. 12171, pp. 92\u2013120. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-56880-1_4"},{"issue":"1","key":"15_CR8","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1007\/s00145-007-9002-x","volume":"22","author":"DX Charles","year":"2009","unstructured":"Charles, D.X., Lauter, K.E., Goren, E.Z.: Cryptographic hash functions from expander graphs. J. Cryptol. 22(1), 93\u2013113 (2009)","journal-title":"J. Cryptol."},{"issue":"1","key":"15_CR9","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1515\/jmc-2012-0016","volume":"8","author":"A Childs","year":"2014","unstructured":"Childs, A., Jao, D., Soukharev, V.: Constructing elliptic curve isogenies in quantum subexponential time. J. Math. Cryptol. 8(1), 1\u201329 (2014)","journal-title":"J. Math. Cryptol."},{"key":"15_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1007\/978-3-319-70697-9_11","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2017","author":"C Costello","year":"2017","unstructured":"Costello, C., Hisil, H.: A simple and compact algorithm for SIDH with arbitrary degree isogenies. In: Takagi, T., Peyrin, T. (eds.) ASIACRYPT 2017. LNCS, vol. 10625, pp. 303\u2013329. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-70697-9_11"},{"key":"15_CR11","unstructured":"Couveignes, J.M.: Hard homogeneous spaces. Cryptology ePrint Archive, Report 2006\/291 (2006). https:\/\/eprint.iacr.org\/2006\/291"},{"key":"15_CR12","doi-asserted-by":"crossref","unstructured":"Cramer, R., Shoup, V.: A practical public key cryptosystem provably secure against adaptive chosen ciphertext attack. Cryptology ePrint Archive, Report 1998\/006 (1998). https:\/\/eprint.iacr.org\/1998\/006","DOI":"10.1007\/BFb0055717"},{"key":"15_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"445","DOI":"10.1007\/3-540-46766-1_36","volume-title":"Advances in Cryptology \u2014 CRYPTO \u201991","author":"I Damg\u00e5rd","year":"1992","unstructured":"Damg\u00e5rd, I.: Towards practical public key systems secure against chosen ciphertext attacks. In: Feigenbaum, J. (ed.) CRYPTO 1991. LNCS, vol. 576, pp. 445\u2013456. Springer, Heidelberg (1992). https:\/\/doi.org\/10.1007\/3-540-46766-1_36"},{"key":"15_CR14","unstructured":"De Saint Guilhem, C.D., Kutas, P., Petit, C., Silva, J.: S\u00c9TA: supersingular encryption from torsion attacks. Cryptology ePrint Archive, Report 2019\/1291 (2019). https:\/\/eprint.iacr.org\/2019\/1291"},{"issue":"2","key":"15_CR15","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1007\/s10623-014-0010-1","volume":"78","author":"C Delfs","year":"2016","unstructured":"Delfs, C., Galbraith, S.D.: Computing isogenies between supersingular elliptic curves over $$ \\mathbb{F}_p $$. Des. Cod. Cryptogr. 78(2), 425\u2013440 (2016)","journal-title":"Des. Cod. Cryptogr."},{"key":"15_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"537","DOI":"10.1007\/3-540-48405-1_34","volume-title":"Advances in Cryptology \u2014 CRYPTO\u2019 99","author":"E Fujisaki","year":"1999","unstructured":"Fujisaki, E., Okamoto, T.: Secure integration of asymmetric and symmetric encryption schemes. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 537\u2013554. Springer, Heidelberg (1999). https:\/\/doi.org\/10.1007\/3-540-48405-1_34"},{"key":"15_CR17","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1007\/978-3-662-53887-6_3","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2016","author":"SD Galbraith","year":"2016","unstructured":"Galbraith, S.D., Petit, C., Shani, B., Ti, Y.B.: On the security of supersingular isogeny cryptosystems. In: Cheon, J.H., Takagi, T. (eds.) ASIACRYPT 2016. LNCS, vol. 10031, pp. 63\u201391. Springer, Heidelberg (2016). https:\/\/doi.org\/10.1007\/978-3-662-53887-6_3"},{"key":"15_CR18","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"408","DOI":"10.1007\/BFb0055744","volume-title":"Advances in Cryptology \u2014 CRYPTO \u201998","author":"S Hada","year":"1998","unstructured":"Hada, S., Tanaka, T.: On the existence of 3-round zero-knowledge protocols. In: Krawczyk, H. (ed.) CRYPTO 1998. LNCS, vol. 1462, pp. 408\u2013423. Springer, Heidelberg (1998). https:\/\/doi.org\/10.1007\/BFb0055744"},{"key":"15_CR19","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":"15_CR20","doi-asserted-by":"crossref","unstructured":"Jao, D. et al.: Supersingular isogeny key encapsulation, 1 October 2020. https:\/\/sike.org\/files\/SIDH-spec.pdf","DOI":"10.1007\/978-3-642-27739-9_1572-1"},{"key":"15_CR21","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. Comp. 48, 203\u2013209 (1987)","journal-title":"Math. Comp."},{"key":"15_CR22","doi-asserted-by":"crossref","unstructured":"Kummer, E.: Zur theorie der complexen zahlen. J. f\u00fcr die reine und angewandte Mathematik (Crelles Journal) 35, 319\u2013326 (1847)","DOI":"10.1515\/crll.1847.35.319"},{"key":"15_CR23","unstructured":"Moriya, T.: Magma codes for sigamal, 14 August 2020. http:\/\/tomoriya.work\/code.html"},{"key":"15_CR24","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"551","DOI":"10.1007\/978-3-030-64834-3_19","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2020","author":"T Moriya","year":"2020","unstructured":"Moriya, T., Onuki, H., Takagi, T.: SiGamal: a supersingular isogeny-based PKE and its application to a PRF. In: Moriai, S., Wang, H. (eds.) ASIACRYPT 2020. LNCS, vol. 12492, pp. 551\u2013580. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-64834-3_19"},{"key":"15_CR25","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"96","DOI":"10.1007\/978-3-540-45146-4_6","volume-title":"Advances in Cryptology - CRYPTO 2003","author":"M Naor","year":"2003","unstructured":"Naor, M.: On cryptographic assumptions and challenges. In: Boneh, D. (ed.) CRYPTO 2003. LNCS, vol. 2729, pp. 96\u2013109. Springer, Heidelberg (2003). https:\/\/doi.org\/10.1007\/978-3-540-45146-4_6"},{"key":"15_CR26","unstructured":"National Institute of Standards and Technology: Post-quantum Cryptography Standardization, December 2016. https:\/\/csrc.nist.gov\/Projects\/Post-Quantum-Cryptography\/Post-Quantum-Cryptography-Standardization"},{"key":"15_CR27","doi-asserted-by":"crossref","unstructured":"Pohlig, S., Hellman, M.: An improved algorithm for computing logarithms over gf(p) and its cryptographic significance. IEEE Trans. Inf. Theory 24(1), 106110 (1978)","DOI":"10.1109\/TIT.1978.1055817"},{"key":"15_CR28","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1007\/978-3-319-79063-3_11","volume-title":"Post-Quantum Cryptography","author":"J Renes","year":"2018","unstructured":"Renes, J.: Computing isogenies between montgomery curves using the action of (0, 0). In: Lange, T., Steinwandt, R. (eds.) Post-Quantum Cryptography, pp. 229\u2013247. Springer International Publishing, Cham (2018)"},{"key":"15_CR29","doi-asserted-by":"crossref","unstructured":"Rivest, R., Shamir, A., Adleman, L.: A method for obtaining digital signatures and public-key cryptosystems. Commun. ACM 21(2), 120\u2013126 (1978). http:\/\/people.csail.mit.edu\/rivest\/Rsapaper.pdf","DOI":"10.1145\/359340.359342"},{"key":"15_CR30","first-page":"145","volume":"2006","author":"A Rostovtsev","year":"2006","unstructured":"Rostovtsev, A., Stolbunov, A.: Public-key cryptosystem based on isogenies. IACR Cryptol. ePrint Arch. 2006, 145 (2006)","journal-title":"IACR Cryptol. ePrint Arch."},{"key":"15_CR31","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. GTM, vol. 106. Springer, New York (2009). https:\/\/doi.org\/10.1007\/978-0-387-09494-6"},{"key":"15_CR32","unstructured":"Washington, L.C.: Elliptic Curves: Number Theory and Cryptography. 2 edn. Chapman & Hall\/CRC, London (2008)"}],"container-title":["Lecture Notes in Computer Science","Post-Quantum Cryptography"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-81293-5_15","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,22]],"date-time":"2022-07-22T19:46:52Z","timestamp":1658519212000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-81293-5_15"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030812928","9783030812935"],"references-count":32,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-81293-5_15","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"15 July 2021","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":"Daejeon","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Korea (Republic of)","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2021","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"20 July 2021","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"22 July 2021","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"12","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"pqcrypto2021","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/pqcrypto2021.kr\/","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":"65","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":"25","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":"38% - 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":"3.2","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":"2","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)"}}]}}