{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T04:19:00Z","timestamp":1775794740847,"version":"3.50.1"},"publisher-location":"Cham","reference-count":56,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783032018540","type":"print"},{"value":"9783032018557","type":"electronic"}],"license":[{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025]]},"DOI":"10.1007\/978-3-032-01855-7_3","type":"book-chapter","created":{"date-parts":[[2025,8,16]],"date-time":"2025-08-16T19:41:25Z","timestamp":1755373285000},"page":"67-99","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["PEGASIS: Practical Effective Class Group Action using 4-Dimensional Isogenies"],"prefix":"10.1007","author":[{"given":"Pierrick","family":"Dartois","sequence":"first","affiliation":[]},{"given":"Jonathan Komada","family":"Eriksen","sequence":"additional","affiliation":[]},{"given":"Tako Boris","family":"Fouotsa","sequence":"additional","affiliation":[]},{"given":"Arthur","family":"Herl\u00e9dan Le Merdy","sequence":"additional","affiliation":[]},{"given":"Riccardo","family":"Invernizzi","sequence":"additional","affiliation":[]},{"given":"Damien","family":"Robert","sequence":"additional","affiliation":[]},{"given":"Ryan","family":"Rueger","sequence":"additional","affiliation":[]},{"given":"Frederik","family":"Vercauteren","sequence":"additional","affiliation":[]},{"given":"Benjamin","family":"Wesolowski","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,8,17]]},"reference":[{"key":"3_CR1","doi-asserted-by":"publisher","unstructured":"Abdalla, M., Eisenhofer, T., Kiltz, D., Kunzweiler, S., Riepel, D.: Password-authenticated key exchange from group actions. In: Dodis, Y., Shrimpton, T. (eds.) CRYPTO 2022, Part II, vol. 13508, LNCS, pp. 699\u2013728. Springer, Cham (2022). https:\/\/doi.org\/10.1007\/978-3-031-15979-4_24","DOI":"10.1007\/978-3-031-15979-4_24"},{"key":"3_CR2","doi-asserted-by":"publisher","unstructured":"Alamati, N., De Feo, L., Montgomery, H., Patranabis, S.: Cryptographic group actions and applications. In: Moriai, S., Wang, H. (eds.) ASIACRYPT 2020, Part II, vol. 12492, LNCS, pp. 411\u2013439. Springer, Cham, (2020). https:\/\/doi.org\/10.1007\/978-3-030-64834-3_14","DOI":"10.1007\/978-3-030-64834-3_14"},{"key":"3_CR3","unstructured":"Allombert, B., et al.: PEARL-SCALLOP: Parameter Extension Applicable in Real Life for SCALLOP (2024)"},{"key":"3_CR4","unstructured":"Basso, A., et al.: PRISM: Simple And Compact Identification and Signatures From Large Prime Degree Isogenies. Cryptology ePrint Archive, Report 2025\/135 (2025). https:\/\/eprint.iacr.org\/2025\/135"},{"key":"3_CR5","doi-asserted-by":"crossref","unstructured":"Basso, A., et al.: SQIsign2D-West: The Fast, the Small, and the Safer. Cryptology ePrint Archive, Report 2024\/760 (2024). https:\/\/eprint.iacr.org\/2024\/760","DOI":"10.1007\/978-981-96-0891-1_11"},{"key":"3_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/978-3-030-17656-3_1","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2019","author":"E Boyle","year":"2019","unstructured":"Boyle, E., Kohl, L., Scholl, P.: Homomorphic secret sharing from lattices without FHE. In: Ishai, Y., Rijmen, V. (eds.) EUROCRYPT 2019. LNCS, vol. 11477, pp. 3\u201333. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-17656-3_1"},{"key":"3_CR7","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":"3_CR8","doi-asserted-by":"publisher","unstructured":"X. Bonnetain and A. Schrottenloher. \u201cQuantum Security Analysis of CSIDH\u201d. In: EUROCRYPT 2020, Part II. Ed. by A. Canteaut and Y. Ishai. Vol. 12106. LNCS. Springer, Cham, May 2020, pp. 493\u2013522. https:\/\/doi.org\/10.1007\/978-3-030-45724-2_17","DOI":"10.1007\/978-3-030-45724-2_17"},{"key":"3_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"464","DOI":"10.1007\/978-3-030-56784-2_16","volume-title":"Advances in Cryptology \u2013 CRYPTO 2020","author":"C Boyd","year":"2020","unstructured":"Boyd, C., Davies, G.T., Gj\u00f8steen, K., Jiang, Y.: Fast and secure updatable encryption. In: Micciancio, D., Ristenpart, T. (eds.) CRYPTO 2020. LNCS, vol. 12170, pp. 464\u2013493. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-56784-2_16"},{"key":"3_CR10","doi-asserted-by":"crossref","unstructured":"Campos, F., Hellenbrand, A., Meyer, M., Reijnders, K.: dCTIDH: Fast & Deterministic CTIDH. Cryptology ePrint Archive, Paper 2025\/107 (2025). https:\/\/eprint.iacr.org\/2025\/107","DOI":"10.46586\/tches.v2025.i3.516-541"},{"key":"3_CR11","doi-asserted-by":"publisher","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","DOI":"10.1007\/978-3-030-44223-1_7"},{"key":"3_CR12","doi-asserted-by":"publisher","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","DOI":"10.1007\/978-3-030-03332-3_15"},{"key":"3_CR13","doi-asserted-by":"publisher","unstructured":"Chen, M., Leroux, A., Panny, L.: SCALLOP-HD: group action from 2-dimensional isogenies. In: Tang, Q., Teague, V. (eds.) PKC 2024, Part II. LNCS, vol. 14603, pp. 190\u2013216. Springer, Cham (2024). https:\/\/doi.org\/10.1007\/978-3-031-57725-3_7","DOI":"10.1007\/978-3-031-57725-3_7"},{"key":"3_CR14","unstructured":"Col\u00f2, L., Kohel, D.: Orienting supersingular isogeny graphs. Cryptology ePrint Archive, Report 2020\/985 (2020). https:\/\/eprint.iacr.org\/2020\/985"},{"key":"3_CR15","unstructured":"Couveignes, J.-M.: Hard Homogeneous Spaces. Cryptology ePrint Archive, Report 2006\/291 (2006). https:\/\/eprint.iacr.org\/2006\/291"},{"key":"3_CR16","doi-asserted-by":"publisher","first-page":"349","DOI":"10.1002\/9781118400722","volume-title":"Primes of the Form x2+ny2: Fermat, Class Field Theory, and Complex Multiplication","author":"DA Cox","year":"2013","unstructured":"Cox, D.A.: Primes of the Form x2+ny2: Fermat, Class Field Theory, and Complex Multiplication, 2nd edn., p. 349. Wiley, Hoboken (2013)","edition":"2"},{"key":"3_CR17","doi-asserted-by":"crossref","unstructured":"Dartois, P.: Fast computation of 2-isogenies in dimension 4 and cryptographic applications. Cryptology ePrint Archive, Paper 2024\/1180 (2024). https:\/\/eprint.iacr.org\/2024\/1180","DOI":"10.1016\/j.jalgebra.2025.06.033"},{"key":"3_CR18","doi-asserted-by":"crossref","unstructured":"Dartois, P., et al.: PEGASIS: Practical Effective Class Group Action using 4-Dimensional Isogenies. Cryptology ePrint Archive, Paper 2025\/401 (2025). https:\/\/eprint.iacr.org\/2025\/401","DOI":"10.1007\/978-3-032-01855-7_3"},{"key":"3_CR19","doi-asserted-by":"crossref","unstructured":"Dartois, P., Maino, L., Pope, G., Robert, D.: An Algorithmic Approach to (2, 2)-isogenies in the Theta Model and Applications to Isogeny-based Cryptography. Cryptology ePrint Archive, Paper 2023\/1747 (2023). https:\/\/eprint.iacr.org\/2023\/1747","DOI":"10.1007\/978-981-96-0891-1_10"},{"key":"3_CR20","doi-asserted-by":"publisher","unstructured":"De Feo, L., et al.: SCALLOP: scaling the CSI-FiSh. In: Boldyreva, A., Kolesnikov, V., (eds.) PKC 2023, Part I. LNCS, vol. 13940, pp. 345\u2013375. Springer, Cham (2023). https:\/\/doi.org\/10.1007\/978-3-031-31368-4_13","DOI":"10.1007\/978-3-031-31368-4_13"},{"key":"3_CR21","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"759","DOI":"10.1007\/978-3-030-17659-4_26","volume-title":"Advances in Cryptology \u2013 EUROCRYPT 2019","author":"L De Feo","year":"2019","unstructured":"De Feo, L., Galbraith, S.D.: SeaSign: compact isogeny signatures from class group actions. In: Ishai, Y., Rijmen, V. (eds.) EUROCRYPT 2019. LNCS, vol. 11478, pp. 759\u2013789. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-17659-4_26"},{"key":"3_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1007\/978-3-030-64837-4_3","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2020","author":"L De Feo","year":"2020","unstructured":"De Feo, L., Kohel, D., Leroux, A., Petit, C., Wesolowski, B.: SQISign: compact post-quantum signatures from quaternions and isogenies. In: Moriai, S., Wang, H. (eds.) ASIACRYPT 2020. LNCS, vol. 12491, pp. 64\u201393. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-64837-4_3"},{"key":"3_CR23","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1007\/978-3-030-64837-4_3","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2020","author":"L De Feo","year":"2020","unstructured":"De Feo, L., Kohel, D., Leroux, A., Petit, C., Wesolowski, B.: SQISign: compact post-quantum signatures from quaternions and isogenies. In: Moriai, S., Wang, H. (eds.) ASIACRYPT 2020. LNCS, vol. 12491, pp. 64\u201393. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-64837-4_3"},{"key":"3_CR24","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1007\/0-387-34805-0_28","volume-title":"Advances in Cryptology \u2014 CRYPTO 1989 Proceedings","author":"Y Desmedt","year":"1990","unstructured":"Desmedt, Y., Frankel, Y.: Threshold cryptosystems. In: Brassard, G. (ed.) CRYPTO 1989. LNCS, vol. 435, pp. 307\u2013315. Springer, New York (1990). https:\/\/doi.org\/10.1007\/0-387-34805-0_28"},{"issue":"6","key":"3_CR25","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). https:\/\/doi.org\/10.1109\/TIT.1976.1055638","journal-title":"IEEE Trans. Inf. Theory"},{"key":"3_CR26","doi-asserted-by":"crossref","unstructured":"Duparc, M., Fouotsa, T.B.: SQIPrime: A dimension 2 variant of SQISignHD with non-smooth challenge isogenies. Cryptology ePrint Archive, Report 2024\/773 (2024). https:\/\/eprint.iacr.org\/2024\/773","DOI":"10.1007\/978-981-96-0891-1_13"},{"key":"3_CR27","unstructured":"Edixhoven, B., van der Geer, G., Moonen, B.: Abelian Varieties (2012). http:\/\/van-der-geer.nl\/~gerard\/AV.pdf"},{"key":"3_CR28","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1007\/3-540-39568-7_2","volume-title":"Advances in Cryptology","author":"T ElGamal","year":"1985","unstructured":"ElGamal, T.: A public key cryptosystem and a signature scheme based on discrete logarithms. In: Blakley, G.R., Chaum, D. (eds.) CRYPTO 1984. LNCS, vol. 196, pp. 10\u201318. Springer, Heidelberg (1985). https:\/\/doi.org\/10.1007\/3-540-39568-7_2"},{"key":"3_CR29","doi-asserted-by":"crossref","unstructured":"Elkies, N.D.: Elliptic and modular curves over finite fields and related computational issues. In: Buell, D.A., Teitelbaum, J.T. (eds.) Computational Perspectives on Number Theory: Proceedings of a Conference in Honor of A. O. L. Atkin, vol. 7, pp. 21\u201376. AMS\/IP Studies in Advanced Mathematics. American Mathematical Society, International Press (1998)","DOI":"10.1090\/amsip\/007\/03"},{"key":"3_CR30","unstructured":"Feo, L.D.: Mathematics of Isogeny Based Cryptography (2017). arXiv: 1711.04062 [cs.CR]. https:\/\/arxiv.org\/abs\/1711.04062"},{"key":"3_CR31","unstructured":"Galbraith, S., Panny, L., Smith, B., Vercauteren, F.: Quantum Equivalence of the DLP and CDHP for Group Actions. Cryptology ePrint Archive, Report 2018\/1199 (2018). https:\/\/eprint.iacr.org\/2018\/1199"},{"key":"3_CR32","doi-asserted-by":"publisher","unstructured":"Galbraith, S.D., Lai, Y.-F., Montgomery, H.: A simpler and more efficient reduction of DLog to CDH for Abelian group actions. In: Tang, Q., Teague, V. (eds.) PKC 2024, Part II. LNCS, vol. 14603, pp. 36\u201360. Springer, Cham (2024). https:\/\/doi.org\/10.1007\/978-3-031-57725-3_2","DOI":"10.1007\/978-3-031-57725-3_2"},{"key":"3_CR33","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"354","DOI":"10.1007\/3-540-68339-9_31","volume-title":"Advances in Cryptology \u2014 EUROCRYPT 1996","author":"R Gennaro","year":"1996","unstructured":"Gennaro, R., Jarecki, S., Krawczyk, H., Rabin, T.: Robust threshold DSS signatures. In: Maurer, U. (ed.) EUROCRYPT 1996. LNCS, vol. 1070, pp. 354\u2013371. Springer, Heidelberg (1996). https:\/\/doi.org\/10.1007\/3-540-68339-9_31"},{"issue":"5","key":"3_CR34","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1049\/ip-cdt:19941293","volume":"141","author":"L Harn","year":"1994","unstructured":"Harn, L.: Group-oriented (t, n) threshold digital signature scheme and digital multisignature. IEE Proc. Comput. Digital Techn. 141(5), 307\u2013313 (1994)","journal-title":"IEE Proc. Comput. Digital Techn."},{"issue":"5","key":"3_CR35","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1145\/242896.242897","volume":"26","author":"DP Jablon","year":"1996","unstructured":"Jablon, D.P.: Strong password-only authenticated key exchange. ACM SIGCOMM Comput. Commun. Rev. 26(5), 5\u201326 (1996)","journal-title":"ACM SIGCOMM Comput. Commun. Rev."},{"key":"3_CR36","volume-title":"Basic Algebra I","author":"N Jacobson","year":"1984","unstructured":"Jacobson, N.: Basic Algebra I, 2nd edn. Courier Corporation, Chelmsford (1984)","edition":"2"},{"key":"3_CR37","doi-asserted-by":"publisher","unstructured":"Kohel, D., Lauter, K., Petit, C., Tignol, J.-P.: On the quaternionisogeny path problem. LMS J. Comput. Math. 17(A), 418\u2013432 (2014). https:\/\/doi.org\/10.1112\/S1461157014000151","DOI":"10.1112\/S1461157014000151"},{"issue":"1","key":"3_CR38","doi-asserted-by":"publisher","first-page":"170","DOI":"10.1137\/S0097539703436345","volume":"35","author":"G Kuperberg","year":"2005","unstructured":"Kuperberg, G.: A subexponential-time quantum algorithm for the dihedral hidden subgroup problem. SIAM J. Comput. 35(1), 170\u2013188 (2005)","journal-title":"SIAM J. Comput."},{"key":"3_CR39","doi-asserted-by":"publisher","unstructured":"Leroux, A., Rom\u00e9as, M.: Updatable encryption from group actions. In: Saarinen, M.-J., Smith-Tone, D. (eds.) Post-Quantum Cryptography - 15th International Workshop, PQCrypto 2024, Part II. LNCS, vol. 14772, pp. 20\u201353. Springer, Cham (2024). https:\/\/doi.org\/10.1007\/978-3-031-62746-0_2","DOI":"10.1007\/978-3-031-62746-0_2"},{"key":"3_CR40","doi-asserted-by":"publisher","unstructured":"Milne, J.S.: Abelian varieties. In: Cornell, G., Silverman, J.H. (eds.) Arithmetic Geometry, pp. 103\u2013150. Springer. New York, NY (1986). https:\/\/doi.org\/10.1007\/978-1-4613-8655-1_5. ISBN: 978-1-4613-8655-1","DOI":"10.1007\/978-1-4613-8655-1_5"},{"key":"3_CR41","doi-asserted-by":"publisher","unstructured":"Montgomery, H., Zhandry, M.: Full quantum equivalence of group action DLog and CDH, and more. In: Agrawal, S., Lin, D. (eds.) ASIACRYPT 2022, Part I. LNCS, vol. 13791, pp. 3\u201332. Springer, Cham (2022). https:\/\/doi.org\/10.1007\/978-3-031-22963-3_1","DOI":"10.1007\/978-3-031-22963-3_1"},{"key":"3_CR42","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":"3_CR43","doi-asserted-by":"publisher","unstructured":"Nakagawa, K., Onuki, H.: QFESTA: efficient algorithms and parameters for FESTA using quaternion algebras. In: Reyzin, L., Stebila, D. CRYPTO 2024, Part V. LNCS, vol. 14924, pp. 75\u2013106. Springer, Cham (2024). https:\/\/doi.org\/10.1007\/978-3-031-68388-6_4","DOI":"10.1007\/978-3-031-68388-6_4"},{"key":"3_CR44","doi-asserted-by":"crossref","unstructured":"Nakagawa, K., Onuki, H.: SQIsign2D-East: A New Signature Scheme Using 2-dimensional Isogenies. Cryptology ePrint Archive, Report 2024\/771 (2024). https:\/\/eprint.iacr.org\/2024\/771","DOI":"10.1007\/978-981-96-0891-1_9"},{"key":"3_CR45","doi-asserted-by":"publisher","unstructured":"Onuki, H.: On oriented supersingular elliptic curves. Finite Fields App. 69, 101777 (2021). https:\/\/doi.org\/10.1016\/j.ffa.2020.101777, https:\/\/www.sciencedirect.com\/science\/article\/pii\/S1071579720301465. ISSN: 1071-5797","DOI":"10.1016\/j.ffa.2020.101777"},{"key":"3_CR46","unstructured":"Page, A., Robert, D.: Introducing Clapoti(s): Evaluating the isogeny class group action in polynomial time. Cryptology ePrint Archive, Report 2023\/1766 (2023). https:\/\/eprint.iacr.org\/2023\/1766"},{"key":"3_CR47","doi-asserted-by":"crossref","unstructured":"Panny, L., Petit, C., Stopar, M.: KLaPoTi: An asymptotically efficient isogeny group action from 2-dimensional isogenies. IACR Cryptol. ePrint Arch. p. 1844 (2024). https:\/\/eprint.iacr.org\/2024\/1844","DOI":"10.62056\/ahp2wakrz"},{"key":"3_CR48","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":"3_CR49","unstructured":"Robert, D.: Some applications of higher dimensional isogenies to elliptic curves (overview of results). Cryptology ePrint Archive, Report 2022\/1704 (2022). https:\/\/eprint.iacr.org\/2022\/1704"},{"key":"3_CR50","doi-asserted-by":"publisher","unstructured":"Robert, D.: Breaking SIDH in polynomial time. In: Hazay, C., Stam, M. EUROCRYPT 2023, Part V. LNCS, vol. 14008, pp. 472\u2013503. Springer, Cham (2023). https:\/\/doi.org\/10.1007\/978-3-031-30589-4_17","DOI":"10.1007\/978-3-031-30589-4_17"},{"key":"3_CR51","unstructured":"Robert, D.: On the efficient representation of isogenies (a survey). Cryptology ePrint Archive, Report 2024\/1071 (2024). https:\/\/eprint.iacr.org\/2024\/1071"},{"key":"3_CR52","unstructured":"Rostovtsev, A., Stolbunov, A.: Public-Key Cryptosystem Based on Isogenies. Cryptology ePrint Archive, Report 2006\/145 (2006). https:\/\/eprint.iacr.org\/2006\/145"},{"key":"3_CR53","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 1989 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":"3_CR54","doi-asserted-by":"publisher","unstructured":"Shor, P.W.: Algorithms for quantum computation: discrete logarithms and factoring. In: 35th FOCS, pp. 124\u2013134. IEEE Computer Society Press, November 1994. https:\/\/doi.org\/10.1109\/SFCS.1994.365700","DOI":"10.1109\/SFCS.1994.365700"},{"key":"3_CR55","unstructured":"V\u00e9lu, J.: Isog\u00e9nies entre courbes elliptiques. Comptes-rendus de l\u2019Acad\u00e9mie des Sciences 273, 238\u2013241 (1971). https:\/\/gallica.bnf.fr"},{"key":"3_CR56","doi-asserted-by":"crossref","unstructured":"Waterhouse, W.C.: Abelian varieties over finite fields. eng. In: Annales scientifiques de l\u2019\u00c9cole Normale Sup\u00e9rieure 2(4), 521\u2013560 (1969). http:\/\/eudml.org\/doc\/81852","DOI":"10.24033\/asens.1183"}],"container-title":["Lecture Notes in Computer Science","Advances in Cryptology \u2013 CRYPTO 2025"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-032-01855-7_3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,19]],"date-time":"2026-01-19T19:21:41Z","timestamp":1768850501000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-032-01855-7_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"ISBN":["9783032018540","9783032018557"],"references-count":56,"URL":"https:\/\/doi.org\/10.1007\/978-3-032-01855-7_3","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025]]},"assertion":[{"value":"17 August 2025","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"CRYPTO","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Annual International Cryptology Conference","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Santa Barbara, 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":"2025","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17 August 2025","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"21 August 2025","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"45","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"crypto2025","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/crypto.iacr.org\/2025\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}