{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T00:26:23Z","timestamp":1783643183191,"version":"3.55.0"},"reference-count":66,"publisher":"Association for Computing Machinery (ACM)","issue":"2","license":[{"start":{"date-parts":[[2024,3,27]],"date-time":"2024-03-27T00:00:00Z","timestamp":1711497600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"funder":[{"name":"NSF","award":["2101085"],"award-info":[{"award-number":["2101085"]}]}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Embed. Comput. Syst."],"published-print":{"date-parts":[[2024,3,31]]},"abstract":"<jats:p>Recent attacks have shown that SIKE is not secure and should not be used in its current state. However, this work was completed before these attacks were discovered and might be beneficial to other cryptosystems such as SQISign. The primary downside of SIKE is its performance. However, this work achieves new SIKE speed records even using less resources than the state-of-the-art. Our approach entails designing and optimizing a new field multiplier, SIKE-optimized Keccak unit, and high-level controller. On a Xilinx Virtex-7 FPGA, this architecture performs the NIST Level 1 SIKE scheme key encapsulation and key decapsulation functions in 2.23 and 2.39 ms, respectively. The combined key encapsulation and decapsulation time is 4.62\u00a0ms, which outperforms the next best Virtex-7 implementation by nearly 2 ms. Our implementation achieves speed records for the NIST Level 1, 2, and 3 parameter sets. Only our NIST Level 5 parameter set was beat by an all-out performance implementation. Our implementations also efficiently utilize the FPGA resources, achieving new records in area-time product metrics for all parameter sets. Overall, this work continues to push the bar for accelerating SIKE computations to make a stronger case for SIKE standardization.<\/jats:p>","DOI":"10.1145\/3584919","type":"journal-article","created":{"date-parts":[[2023,2,23]],"date-time":"2023-02-23T13:07:00Z","timestamp":1677157620000},"page":"1-25","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":74,"title":["Cryptographic Engineering a Fast and Efficient SIKE in FPGA"],"prefix":"10.1145","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6398-3222","authenticated-orcid":false,"given":"Rami","family":"Elkhatib","sequence":"first","affiliation":[{"name":"Florida Atlantic University, Boca Raton, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8874-2217","authenticated-orcid":false,"given":"Brian","family":"Koziel","sequence":"additional","affiliation":[{"name":"Florida Atlantic University, Boca Raton, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6921-6868","authenticated-orcid":false,"given":"Reza","family":"Azarderakhsh","sequence":"additional","affiliation":[{"name":"Florida Atlantic University, Boca Raton, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4513-3109","authenticated-orcid":false,"given":"Mehran","family":"Mozaffari Kermani","sequence":"additional","affiliation":[{"name":"University of South Florida, Tampa, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2024,3,27]]},"reference":[{"key":"e_1_3_3_2_2","article-title":"On the Cost of Computing Isogenies Between Supersingular Elliptic Curves","author":"Adj Gora","year":"2018","unstructured":"Gora Adj, Daniel Cervantes-V\u00e1zquez, Jes\u00fas-Javier Chi-Dom\u00ednguez, Alfred Menezes, and Francisco Rodr\u00edguez-Henr\u00edquez. 2018. On the Cost of Computing Isogenies Between Supersingular Elliptic Curves. Cryptology ePrint Archive, Report 2018\/313.","journal-title":"Cryptology ePrint Archive, Report 2018\/313"},{"key":"e_1_3_3_3_2","doi-asserted-by":"crossref","unstructured":"Gorjan Alagic Jacob Alperin-Sheriff Daniel Apon David Cooper Quynh Dang John Kelsey Yi-Kai Liu Carl Miller Dustin Moody Rene Peralta Ray Perlner Angela Robinson and Daniel Smith-Tone. 2020. Status report on the second round of the NIST post-quantum cryptography standardization process. NIST IR 8309.","DOI":"10.6028\/NIST.IR.8240"},{"key":"e_1_3_3_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2021.3096916"},{"key":"e_1_3_3_5_2","article-title":"Supersingular Isogeny Key Encapsulation","author":"Azarderakhsh Reza","year":"2020","unstructured":"Reza Azarderakhsh, Matthew Campagna, Craig Costello, Luca De Feo, Basil Hess, Aaron Hutchinson, Amir Jalali, David Jao, Koray Karabina, Brian Koziel, Brian LaMacchia, Patrick Longa, Michael Naehrig, Geovandro Pereira, Joost Renes, Vladimir Soukharev, and David Urbanik. 2020. Supersingular Isogeny Key Encapsulation. Submission to the NIST Post-Quantum Standardization Project. Retrieved from https:\/\/sike.org\/.","journal-title":"Submission to the NIST Post-Quantum Standardization Project"},{"key":"e_1_3_3_6_2","article-title":"Supersingular Isogeny Key Encapsulation","author":"Azarderakhsh Reza","year":"2017","unstructured":"Reza Azarderakhsh, Matthew Campagna, Craig Costello, Luca De Feo, Basil Hess, Amir Jalali, David Jao, Brian Koziel, Brian LaMacchia, Patrick Longa, Michael Naehrig, Joost Renes, Vladimir Soukharev, and David Urbanik. 2017. Supersingular Isogeny Key Encapsulation. Submission to the NIST Post-Quantum Standardization Project. Retrieved from https:\/\/sike.org\/.","journal-title":"Submission to the NIST Post-Quantum Standardization Project"},{"key":"e_1_3_3_7_2","first-page":"1","volume-title":"3rd ACM International Workshop on ASIA Public-Key Cryptography","author":"Azarderakhsh Reza","year":"2016","unstructured":"Reza Azarderakhsh, David Jao, Kassem Kalach, Brian Koziel, and Christopher Leonardi. 2016. Key compression for isogeny-based cryptosystems. In 3rd ACM International Workshop on ASIA Public-Key Cryptography. 1\u201310."},{"key":"e_1_3_3_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-57808-4_9"},{"key":"e_1_3_3_9_2","article-title":"Hardware Deployment of Hybrid PQC","author":"Azarderakhsh Reza","year":"2021","unstructured":"Reza Azarderakhsh, Rami El Khatib, Brian Koziel, and Brandon Langenberg. 2021. Hardware Deployment of Hybrid PQC. Cryptology ePrint Archive, Report 2021\/541.","journal-title":"Cryptology ePrint Archive, Report 2021\/541"},{"key":"e_1_3_3_10_2","doi-asserted-by":"publisher","DOI":"10.1109\/ISCAS45731.2020.9180550"},{"key":"e_1_3_3_11_2","doi-asserted-by":"crossref","unstructured":"Guido Bertoni Joan Daemen Micha\u00ebl Peeters Gilles Van Assche and Ronny Van Keer. 2012. Keccak Implementation Overview. Retrieved from https:\/\/keccak.team\/files\/Keccak-implementation-3.2.pdf.","DOI":"10.1007\/978-3-642-38348-9_19"},{"key":"e_1_3_3_12_2","article-title":"An efficient key recovery attack on SIDH (preliminary version)","author":"Castryck Wouter","year":"2022","unstructured":"Wouter Castryck and Thomas Decru. 2022. An efficient key recovery attack on SIDH (preliminary version). Cryptology ePrint Archive, Paper 2022\/975.","journal-title":"Cryptology ePrint Archive, Paper 2022\/975"},{"key":"e_1_3_3_13_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00145-007-9002-x"},{"key":"e_1_3_3_14_2","doi-asserted-by":"publisher","DOI":"10.1515\/jmc-2012-0016"},{"key":"e_1_3_3_15_2","first-page":"679","volume-title":"Annual International Conference on the Theory and Applications of Cryptographic Techniques","author":"Costello Craig","year":"2017","unstructured":"Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes, and David Urbanik. 2017. Efficient compression of SIDH public keys. In Annual International Conference on the Theory and Applications of Cryptographic Techniques. Springer, 679\u2013706."},{"key":"e_1_3_3_16_2","first-page":"572","volume-title":"36th Annual International Cryptology Conference: Advances in Cryptology","author":"Costello Craig","year":"2016","unstructured":"Craig Costello, Patrick Longa, and Michael Naehrig. 2016. Efficient algorithms for supersingular isogeny Diffie-Hellman. In 36th Annual International Cryptology Conference: Advances in Cryptology. 572\u2013601."},{"key":"e_1_3_3_17_2","article-title":"2019. Improved Classical Cryptanalysis of the Computational Supersingular Isogeny Problem","author":"Costello Craig","unstructured":"Craig Costello, Patrick Longa, Michael Naehrig, Joost Renes, and Fernando Virdia. 2019. Improved Classical Cryptanalysis of the Computational Supersingular Isogeny Problem. Cryptology ePrint Archive, Report 2019\/298. Retrieved from https:\/\/eprint.iacr.org\/2019\/298.","journal-title":"Cryptology ePrint Archive, Report 2019\/298"},{"key":"e_1_3_3_18_2","article-title":"Hard Homogeneous Spaces","author":"Couveignes Jean-Marc","year":"2006","unstructured":"Jean-Marc Couveignes. 2006. Hard Homogeneous Spaces. Cryptology ePrint Archive, Report 2006\/291.","journal-title":"Cryptology ePrint Archive, Report 2006\/291"},{"issue":"3","key":"e_1_3_3_19_2","first-page":"209","article-title":"Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies","volume":"8","author":"Feo Luca De","year":"2014","unstructured":"Luca De Feo, David Jao, and J\u00e9r\u00f4me Pl\u00fbt. 2014. Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies. Cryptology ePrint Archive, Report 2011\/506. J. Math. Cryptol. 8, 3 (Sep. 2014), 209\u2013247.","journal-title":"Cryptology ePrint Archive, Report 2011\/506"},{"key":"e_1_3_3_20_2","first-page":"64","volume-title":"International Conference on the Theory and Application of Cryptology and Information Security","author":"Feo Luca De","year":"2020","unstructured":"Luca De Feo, David Kohel, Antonin Leroux, Christophe Petit, and Benjamin Wesolowski. 2020. SQISign: Compact post-quantum signatures from quaternions and isogenies. In International Conference on the Theory and Application of Cryptology and Information Security. Springer, 64\u201393."},{"key":"e_1_3_3_21_2","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1007\/978-3-030-31578-8_5","volume-title":"International Conference on Cryptology and Network Security","author":"Khatib Rami El","year":"2019","unstructured":"Rami El Khatib, Reza Azarderakhsh, and Mehran Mozaffari-Kermani. 2019. Optimized algorithms and architectures for montgomery multiplication for post-quantum cryptography. In International Conference on Cryptology and Network Security. Springer, 83\u201398."},{"key":"e_1_3_3_22_2","doi-asserted-by":"publisher","DOI":"10.1109\/ARITH51176.2021.00035"},{"key":"e_1_3_3_23_2","doi-asserted-by":"publisher","DOI":"10.1109\/ARITH48897.2020.00018"},{"key":"e_1_3_3_24_2","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2021.3078691"},{"key":"e_1_3_3_25_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2022.3162626"},{"key":"e_1_3_3_26_2","doi-asserted-by":"crossref","DOI":"10.1109\/TCSI.2020.2998903","article-title":"Implementation of supersingular isogeny-based Diffie-Hellman and key encapsulationusing an efficient scheduling","author":"Farzam Mohammad-Hossein","year":"2020","unstructured":"Mohammad-Hossein Farzam, Siavash Bayat-Sarmadi, and Hatameh Mosanaei-Boorani. 2020. Implementation of supersingular isogeny-based Diffie-Hellman and key encapsulationusing an efficient scheduling. IEEE Trans. Circ. Syst. Regul. Pap. (2020). https:\/\/ieeexplore.ieee.org\/document\/9113666.","journal-title":"IEEE Trans. Circ. Syst. Regul. Pap."},{"key":"e_1_3_3_27_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2021.3062871"},{"issue":"11","key":"e_1_3_3_28_2","doi-asserted-by":"crossref","first-page":"1622","DOI":"10.1109\/TC.2017.2771535","article-title":"A faster software implementation of the supersingular isogeny Diffie-Hellman key exchange protocol","volume":"67","author":"Faz-Hern\u00e1ndez Armando","year":"2017","unstructured":"Armando Faz-Hern\u00e1ndez, Julio L\u00f3pez, Eduardo Ochoa-Jim\u00e9nez, and Francisco Rodr\u00edguez-Henr\u00edquez. 2017. A faster software implementation of the supersingular isogeny Diffie-Hellman key exchange protocol. IEEE Trans. Comput. 67, 11 (2017), 1622\u20131636.","journal-title":"IEEE Trans. Comput."},{"key":"e_1_3_3_29_2","article-title":"Mathematics of isogeny based cryptography","volume":"1711","author":"Feo Luca De","year":"2017","unstructured":"Luca De Feo. 2017. Mathematics of isogeny based cryptography. CoRR abs\/1711.04062.","journal-title":"CoRR"},{"key":"e_1_3_3_30_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-53887-6_3"},{"key":"e_1_3_3_31_2","first-page":"3","volume-title":"Advances in Cryptology Conference","author":"Galbraith Steven D.","year":"2017","unstructured":"Steven D. Galbraith, Christophe Petit, and Javier Silva. 2017. Identification protocols and signature schemes based on supersingular isogeny problems. In Advances in Cryptology Conference. Cham, 3\u201333."},{"key":"e_1_3_3_32_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-59879-6_6"},{"key":"e_1_3_3_33_2","doi-asserted-by":"publisher","DOI":"10.1145\/237814.237866"},{"key":"e_1_3_3_34_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-25405-5_2"},{"key":"e_1_3_3_35_2","article-title":"2019. Quantum cryptanalysis in the RAM model: Claw-finding attacks on SIKE","author":"Jaques Samuel","unstructured":"Samuel Jaques and John M. Schanck. 2019. Quantum cryptanalysis in the RAM model: Claw-finding attacks on SIKE. Cryptology ePrint Archive, Report 2019\/103. Retrieved from https:\/\/eprint.iacr.org\/2019\/103.","journal-title":"Cryptology ePrint Archive, Report 2019\/103"},{"key":"e_1_3_3_36_2","first-page":"to appear","volume-title":"International Workshop on the Arithmetic of Finite Fields","author":"Karmakar A.","unstructured":"A. Karmakar, S. Roy, F. Vercauteren, and I. Verbauwhede. Efficient finite field multiplication for isogeny based post quantum cryptography. In International Workshop on the Arithmetic of Finite Fields. to appear. https:\/\/www.semanticscholar.org\/paper\/Efficient-Finite-field-multiplication-for-isogeny-Karmakar-Roy\/af5c8211e98ea7bfe7d67a11fa2071e6269cb2b7."},{"key":"e_1_3_3_37_2","first-page":"1","article-title":"SIKE\u2019d Up: Fast hardware architectures for supersingular isogeny key encapsulation","author":"Koziel B.","year":"2020","unstructured":"B. Koziel, A. Ackie, R. El Khatib, R. Azarderakhsh, and M. M. Kermani. 2020. SIKE\u2019d Up: Fast hardware architectures for supersingular isogeny key encapsulation. IEEE Trans. Circ. Syst. Regul. Pap. (2020), 1\u201313. https:\/\/ieeexplore.ieee.org\/document\/9093826.","journal-title":"IEEE Trans. Circ. Syst. Regul. Pap."},{"key":"e_1_3_3_38_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-76953-0_24"},{"key":"e_1_3_3_39_2","first-page":"64","volume-title":"24th International Conference on Selected Areas in Cryptography","author":"Koziel Brian","year":"2018","unstructured":"Brian Koziel, Reza Azarderakhsh, and David Jao. 2018. Side-channel attacks on quantum-resistant supersingular isogeny Diffie-Hellman. In 24th International Conference on Selected Areas in Cryptography. 64\u201381."},{"key":"e_1_3_3_40_2","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2018.2815605"},{"key":"e_1_3_3_41_2","first-page":"191","volume-title":"17th International Conference on Cryptology in India: Progress in Cryptology","author":"Koziel Brian","year":"2016","unstructured":"Brian Koziel, Reza Azarderakhsh, and Mehran Mozaffari-Kermani. 2016. Fast hardware architectures for supersingular isogeny Diffie-Hellman key exchange on FPGA. In 17th International Conference on Cryptology in India: Progress in Cryptology. 191\u2013206."},{"key":"e_1_3_3_42_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2016.2611561"},{"key":"e_1_3_3_43_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-48965-0_6"},{"key":"e_1_3_3_44_2","doi-asserted-by":"publisher","DOI":"10.1109\/ISCAS.2018.8351082"},{"key":"e_1_3_3_45_2","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2019.2899847"},{"key":"e_1_3_3_46_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCAD.2019.2960330"},{"key":"e_1_3_3_47_2","article-title":"An attack on SIDH with arbitrary starting curve","author":"Maino Luciano","year":"2022","unstructured":"Luciano Maino and Chloe Martindale. 2022. An attack on SIDH with arbitrary starting curve. Cryptology ePrint Archive, Paper 2022\/1026.","journal-title":"Cryptology ePrint Archive, Paper 2022\/1026"},{"key":"e_1_3_3_48_2","doi-asserted-by":"crossref","first-page":"245","DOI":"10.46586\/tches.v2020.i2.245-271","article-title":"A compact and scalable hardware\/software co-design of SIKE","author":"Massolino Pedro Maat C.","year":"2020","unstructured":"Pedro Maat C. Massolino, Patrick Longa, Joost Renes, and Lejla Batina. 2020. A compact and scalable hardware\/software co-design of SIKE. IACR Trans. Cryptog. Hardw. Embed. Syst. (2020), 245\u2013271. https:\/\/tches.iacr.org\/index.php\/TCHES\/article\/view\/8551.","journal-title":"IACR Trans. Cryptog. Hardw. Embed. Syst."},{"key":"e_1_3_3_49_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1985-0777282-X"},{"key":"e_1_3_3_50_2","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1090\/S0025-5718-1987-0866113-7","article-title":"Speeding the pollard and elliptic curve methods of factorization","author":"Montgomery Peter L.","year":"1987","unstructured":"Peter L. Montgomery. 1987. Speeding the pollard and elliptic curve methods of factorization. Math. Comput. (1987), 243\u2013264. https:\/\/www.semanticscholar.org\/paper\/Speeding-the-Pollard-and-elliptic-curve-methods-of-Montgomery\/a377c34ff3252c94ae864b7e0cfa64c05d01ef6d.","journal-title":"Math. Comput."},{"key":"e_1_3_3_51_2","first-page":"243","volume-title":"Advances in Cryptology Conference","author":"Naehrig Michael","year":"2019","unstructured":"Michael Naehrig and Joost Renes. 2019. Dual isogenies and their application to public-key compression for isogeny-based cryptography. In Advances in Cryptology Conference. Springer International Publishing, Cham, 243\u2013272."},{"key":"e_1_3_3_52_2","doi-asserted-by":"publisher","DOI":"10.1109\/TVLSI.2022.3152011"},{"key":"e_1_3_3_53_2","first-page":"131","volume-title":"Public-Key Cryptography Conference","author":"Pereira Geovandro C. C. F.","year":"2021","unstructured":"Geovandro C. C. F. Pereira and Paulo S. L. M. Barreto. 2021. Isogeny-based key compression without pairings. In Public-Key Cryptography Conference. Springer International Publishing, Cham, 131\u2013154."},{"key":"e_1_3_3_54_2","article-title":"Breaking SIDH in polynomial time","author":"Robert Damien","year":"2022","unstructured":"Damien Robert. 2022. Breaking SIDH in polynomial time. Cryptology ePrint Archive, Paper 2022\/1038.","journal-title":"Cryptology ePrint Archive, Paper 2022\/1038"},{"key":"e_1_3_3_55_2","article-title":"Public-Key Cryptosystem Based on Isogenies","author":"Rostovtsev Alexander","year":"2006","unstructured":"Alexander Rostovtsev and Anton Stolbunov. 2006. Public-Key Cryptosystem Based on Isogenies. Cryptology ePrint Archive, Report 2006\/145.","journal-title":"Cryptology ePrint Archive, Report 2006\/145"},{"key":"e_1_3_3_56_2","first-page":"1","volume-title":"IEEE\/ACM International Conference on Computer Aided Design (ICCAD\u201920)","author":"Roy Debapriya Basu","year":"2020","unstructured":"Debapriya Basu Roy, Tim Fritzmann, and Georg Sigl. 2020. Efficient hardware\/software co-design for post-quantum crypto algorithm SIKE on ARM and RISC-V based microcontrollers. In IEEE\/ACM International Conference on Computer Aided Design (ICCAD\u201920). 1\u20139."},{"key":"e_1_3_3_57_2","article-title":"Post Quantum ECC on FPGA Platform","author":"Roy Debapriya Basu","year":"2019","unstructured":"Debapriya Basu Roy and Debdeep Mukhopadhyay. 2019. Post Quantum ECC on FPGA Platform. Cryptology ePrint Archive, Report 2019\/568.","journal-title":"Cryptology ePrint Archive, Report 2019\/568"},{"key":"e_1_3_3_58_2","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2020.3023045"},{"key":"e_1_3_3_59_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2020.2979410"},{"key":"e_1_3_3_60_2","doi-asserted-by":"crossref","first-page":"124","DOI":"10.1109\/SFCS.1994.365700","volume-title":"35th Annual Symposium on Foundations of Computer Science (FOCS\u201994)","author":"Shor Peter W.","year":"1994","unstructured":"Peter W. Shor. 1994. Algorithms for quantum computation: Discrete logarithms and factoring. In 35th Annual Symposium on Foundations of Computer Science (FOCS\u201994). 124\u2013134."},{"key":"e_1_3_3_61_2","doi-asserted-by":"publisher","DOI":"10.1515\/jmc-2020-0071"},{"key":"e_1_3_3_62_2","unstructured":"The National Institute of Standards and Technology (NIST). 2017\u20132018. Post-Quantum Cryptography Standardization. Retrieved from https:\/\/csrc.nist.gov\/projects\/post-quantum-cryptography\/post-quantum-cryptography-standardization."},{"key":"e_1_3_3_63_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-59879-6_7"},{"key":"e_1_3_3_64_2","doi-asserted-by":"publisher","DOI":"10.1109\/SiPS47522.2019.9020384"},{"key":"e_1_3_3_65_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2021.3094889"},{"key":"e_1_3_3_66_2","first-page":"A238\u2013A241","article-title":"Isog\u00e9nies entre courbes elliptiques","volume":"273","author":"V\u00e9lu Jacques","year":"1971","unstructured":"Jacques V\u00e9lu. 1971. Isog\u00e9nies entre courbes elliptiques. Comptes Rendus de l\u2019Acad\u00e9mie Des Sciences Paris S\u00e9ries A-B 273 (1971), A238\u2013A241.","journal-title":"Comptes Rendus de l\u2019Acad\u00e9mie Des Sciences Paris S\u00e9ries A-B"},{"key":"e_1_3_3_67_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-70972-7_9"}],"container-title":["ACM Transactions on Embedded Computing Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3584919","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3584919","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,17]],"date-time":"2025-06-17T18:08:46Z","timestamp":1750183726000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3584919"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,3,27]]},"references-count":66,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2024,3,31]]}},"alternative-id":["10.1145\/3584919"],"URL":"https:\/\/doi.org\/10.1145\/3584919","relation":{},"ISSN":["1539-9087","1558-3465"],"issn-type":[{"value":"1539-9087","type":"print"},{"value":"1558-3465","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,3,27]]},"assertion":[{"value":"2022-04-09","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2023-01-24","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2024-03-27","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}