Mayo, Sam Automorphisms of the supersingular isogeny graph. (English) Zbl 07784990 Finite Fields Appl. 93, Article ID 102314, 7 p. (2024). MSC: 14H52 14G50 PDFBibTeX XMLCite \textit{S. Mayo}, Finite Fields Appl. 93, Article ID 102314, 7 p. (2024; Zbl 07784990) Full Text: DOI arXiv
Arpin, Sarah; Chen, Mingjie; Lauter, Kristin E.; Scheidler, Renate; Stange, Katherine E.; Tran, Ha T. N. Orienteering with one endomorphism. (English) Zbl 1524.14057 Matematica 2, No. 3, 523-582 (2023). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 14G50 94A60 11G20 14K02 11-04 11R52 PDFBibTeX XMLCite \textit{S. Arpin} et al., Matematica 2, No. 3, 523--582 (2023; Zbl 1524.14057) Full Text: DOI arXiv OA License
Morton, Patrick Supersingular conjectures for the Fricke group. (English) Zbl 1511.14052 Int. J. Number Theory 19, No. 4, 803-828 (2023). Reviewer: Andrea Bandini (Pisa) MSC: 14H52 11F55 11F22 PDFBibTeX XMLCite \textit{P. Morton}, Int. J. Number Theory 19, No. 4, 803--828 (2023; Zbl 1511.14052) Full Text: DOI arXiv
Nakagawa, Kohei; Onuki, Hiroshi; Takayasu, Atsushi; Takagi, Tsuyoshi \( L_1\)-norm ball for CSIDH: optimal strategy for choosing the secret key space. (English) Zbl 1508.94061 Discrete Appl. Math. 328, 70-88 (2023). MSC: 94A60 81P94 11G07 PDFBibTeX XMLCite \textit{K. Nakagawa} et al., Discrete Appl. Math. 328, 70--88 (2023; Zbl 1508.94061) Full Text: DOI
Belhamra, Nabila Supersingular elliptic curves over \(\overline{\mathbb{F}}_5\). (English) Zbl 1498.11150 Indian J. Pure Appl. Math. 53, No. 4, 989-992 (2022); erratum ibid. 53, No. 4, 1129 (2022). MSC: 11G20 PDFBibTeX XMLCite \textit{N. Belhamra}, Indian J. Pure Appl. Math. 53, No. 4, 989--992 (2022; Zbl 1498.11150) Full Text: DOI
Qi, Mingping An efficient post-quantum KEM from CSIDH. (English) Zbl 1492.81044 J. Math. Cryptol. 16, 103-113 (2022). MSC: 81P94 94A60 PDFBibTeX XMLCite \textit{M. Qi}, J. Math. Cryptol. 16, 103--113 (2022; Zbl 1492.81044) Full Text: DOI
Aka, Menny; Luethi, Manuel; Michel, Philippe; Wieser, Andreas Simultaneous supersingular reductions of CM elliptic curves. (English) Zbl 07538642 J. Reine Angew. Math. 786, 1-43 (2022). Reviewer: Nikolaj M. Glazunov (Sofia) MSC: 11G05 11G15 37A17 PDFBibTeX XMLCite \textit{M. Aka} et al., J. Reine Angew. Math. 786, 1--43 (2022; Zbl 07538642) Full Text: DOI arXiv
Kim, Chan-Ho; Kurihara, Masato On the refined conjectures on Fitting ideals of Selmer groups of elliptic curves with supersingular reduction. (English) Zbl 1497.11270 Int. Math. Res. Not. 2021, No. 14, 10559-10599 (2021). Reviewer: Anatoli Shatsila (Kraków) MSC: 11R23 11G05 14H52 PDFBibTeX XMLCite \textit{C.-H. Kim} and \textit{M. Kurihara}, Int. Math. Res. Not. 2021, No. 14, 10559--10599 (2021; Zbl 1497.11270) Full Text: DOI arXiv
Love, Jonathan; Boneh, Dan Supersingular curves with small noninteger endomorphisms. (English) Zbl 1460.11093 Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 4, 7-22 (2020). MSC: 11G20 14H52 PDFBibTeX XMLCite \textit{J. Love} and \textit{D. Boneh}, Open Book Ser. 4, 7--22 (2020; Zbl 1460.11093) Full Text: DOI arXiv
Onuki, Hiroshi; Takagi, Tsuyoshi On collisions related to an ideal class of order 3 in CSIDH. (English) Zbl 1485.94113 Aoki, Kazumaro (ed.) et al., Advances in information and computer security. 15th international workshop on security, IWSEC 2020, Fukui, Japan, September 2–4, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12231, 131-148 (2020). Reviewer: Edgar Martinez-Moro (Soria) MSC: 94A60 81P94 PDFBibTeX XMLCite \textit{H. Onuki} and \textit{T. Takagi}, Lect. Notes Comput. Sci. 12231, 131--148 (2020; Zbl 1485.94113) Full Text: DOI
Saikia, Anupam On the Iwasawa \(\mu \)-invariants of supersingular elliptic curves. (English) Zbl 1477.11186 Acta Arith. 194, No. 2, 179-186 (2020). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R23 11G05 PDFBibTeX XMLCite \textit{A. Saikia}, Acta Arith. 194, No. 2, 179--186 (2020; Zbl 1477.11186) Full Text: DOI
Fernàndez-València, Ramsès Isogenies, codes and lattices in post-quantum cryptography. (Catalan. English summary) Zbl 1476.81028 Butll. Soc. Catalana Mat. 34, No. 2, 125-151 (2019). MSC: 81P94 94A60 11G07 14G50 11T71 PDFBibTeX XMLCite \textit{R. Fernàndez-València}, Butll. Soc. Catalana Mat. 34, No. 2, 125--151 (2019; Zbl 1476.81028) Full Text: DOI
Xu, Xiu; Xue, Haiyang; Wang, Kunpeng; Au, Man Ho; Tian, Song Strongly secure authenticated key exchange from supersingular isogenies. (English) Zbl 1456.94121 Galbraith, Steven D. (ed.) et al., Advances in cryptology – ASIACRYPT 2019. 25th international conference on the theory and application of cryptology and information security, Kobe, Japan, December 8–12, 2019. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 11921, 278-308 (2019). MSC: 94A60 05C62 PDFBibTeX XMLCite \textit{X. Xu} et al., Lect. Notes Comput. Sci. 11921, 278--308 (2019; Zbl 1456.94121) Full Text: DOI
Nakaya, Tomoaki The number of linear factors of supersingular polynomials and sporadic simple groups. (English) Zbl 1466.11042 J. Number Theory 204, 471-496 (2019). MSC: 11G20 11F11 11F22 20D08 PDFBibTeX XMLCite \textit{T. Nakaya}, J. Number Theory 204, 471--496 (2019; Zbl 1466.11042) Full Text: DOI arXiv
Meyer, Michael; Reith, Steffen A faster way to the CSIDH. (English) Zbl 1407.81087 Chakraborty, Debrup (ed.) et al., Progress in cryptology – INDOCRYPT 2018. 19th international conference on cryptology in India, New Delhi, India, December 9–12, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11356, 137-152 (2018). MSC: 81P94 14G50 14H42 94A60 PDFBibTeX XMLCite \textit{M. Meyer} and \textit{S. Reith}, Lect. Notes Comput. Sci. 11356, 137--152 (2018; Zbl 1407.81087) Full Text: DOI
Mazzoli, M. Non-commutative digit expansions for arithmetic on supersingular elliptic curves. (English) Zbl 1389.11021 Acta Math. Hung. 149, No. 1, 149-159 (2016). Reviewer: Florian Luca (Morelia) MSC: 11A63 14H52 PDFBibTeX XMLCite \textit{M. Mazzoli}, Acta Math. Hung. 149, No. 1, 149--159 (2016; Zbl 1389.11021) Full Text: DOI
Duncan, John F. R.; Ono, Ken The Jack Daniels problem. (English) Zbl 1337.11026 J. Number Theory 161, 230-239 (2016). Reviewer: Hiromichi Yamada (Tokyo) MSC: 11F22 20D08 PDFBibTeX XMLCite \textit{J. F. R. Duncan} and \textit{K. Ono}, J. Number Theory 161, 230--239 (2016; Zbl 1337.11026) Full Text: DOI arXiv
Poulakis, Dimitrios; Rolland, Robert A digital signature scheme based on two hard problems. (English) Zbl 1368.94124 Daras, Nicholas J. (ed.) et al., Computation, cryptography, and network security. Cham: Springer (ISBN 978-3-319-18274-2/hbk; 978-3-319-18275-9/ebook). 441-450 (2015). MSC: 94A60 11T71 11Y05 14G50 PDFBibTeX XMLCite \textit{D. Poulakis} and \textit{R. Rolland}, in: Computation, cryptography, and network security. Cham: Springer. 441--450 (2015; Zbl 1368.94124) Full Text: DOI
Biasse, Jean-François; Jao, David; Sankar, Anirudh A quantum algorithm for computing isogenies between supersingular elliptic curves. (English) Zbl 1337.94024 Meier, Willi (ed.) et al., Progress in cryptology – INDOCRYPT 2014. 15th international conference on cryptology in India, New Delhi, India, December 14–17, 2014. Proceedings. Cham: Springer (ISBN 978-3-319-13038-5/pbk; 978-3-319-13039-2/ebook). Lecture Notes in Computer Science 8885, 428-442 (2014). MSC: 94A60 14G50 81P94 PDFBibTeX XMLCite \textit{J.-F. Biasse} et al., Lect. Notes Comput. Sci. 8885, 428--442 (2014; Zbl 1337.94024) Full Text: DOI
Morton, Patrick Supersingular parameters of the Deuring normal form. (English) Zbl 1307.14048 Ramanujan J. 33, No. 3, 339-366 (2014). Reviewer: Andrea Bandini (Parma) MSC: 14H52 14H05 11D41 11F20 PDFBibTeX XMLCite \textit{P. Morton}, Ramanujan J. 33, No. 3, 339--366 (2014; Zbl 1307.14048) Full Text: DOI
Chevyrev, Ilya; Galbraith, Steven D. Constructing supersingular elliptic curves with a given endomorphism ring. (English) Zbl 1326.11029 LMS J. Comput. Math. 17A, Spec. Iss., 71-91 (2014). Reviewer: Michael J. Jacobson jun. (Calgary) MSC: 11G20 11Y16 11R52 11E20 11H55 14G15 PDFBibTeX XMLCite \textit{I. Chevyrev} and \textit{S. D. Galbraith}, LMS J. Comput. Math. 17A, 71--91 (2014; Zbl 1326.11029) Full Text: DOI arXiv
Zhang, Xusheng; Wang, Kunpeng Fast symmetric pairing revisited. (English) Zbl 1291.94174 Cao, Zhenfu (ed.) et al., Pairing-based cryptography – Pairing 2013. 6th international conference, Beijing, China, November 22–24, 2013. Revised selected papers. Berlin: Springer (ISBN 978-3-319-04872-7/pbk). Lecture Notes in Computer Science 8365, 131-148 (2014). MSC: 94A60 14G50 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{K. Wang}, Lect. Notes Comput. Sci. 8365, 131--148 (2014; Zbl 1291.94174) Full Text: DOI
Sprung, Florian The Šafarevič-Tate group in cyclotomic \(\mathbb Z_p\)-extensions at supersingular primes. (English) Zbl 1288.11060 J. Reine Angew. Math. 681, 199-218 (2013). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11G05 11R23 PDFBibTeX XMLCite \textit{F. Sprung}, J. Reine Angew. Math. 681, 199--218 (2013; Zbl 1288.11060) Full Text: DOI arXiv
Bose, Utsab; Bhattacharya, Anup Kumar; Das, Abhijit GPU-based implementation of 128-bit secure eta pairing over a binary field. (English) Zbl 1312.94034 Youssef, Amr (ed.) et al., Progress in cryptology – AFRICACRYPT 2013. 6th international conference on cryptology in Africa, Cairo, Egypt, June 22–24, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-38552-0/pbk). Lecture Notes in Computer Science 7918, 26-42 (2013). MSC: 94A60 14G50 PDFBibTeX XMLCite \textit{U. Bose} et al., Lect. Notes Comput. Sci. 7918, 26--42 (2013; Zbl 1312.94034) Full Text: DOI
Sutherland, Andrew V. Identifying supersingular elliptic curves. (English) Zbl 1307.11072 LMS J. Comput. Math. 15, 317-325 (2012). MSC: 11G07 11Y16 11G20 14H52 PDFBibTeX XMLCite \textit{A. V. Sutherland}, LMS J. Comput. Math. 15, 317--325 (2012; Zbl 1307.11072) Full Text: DOI arXiv
Sprung, Florian E. Ito Iwasawa theory for elliptic curves at supersingular primes: a pair of Main Conjectures. (English) Zbl 1284.11147 J. Number Theory 132, No. 7, 1483-1506 (2012). Reviewer: Andreas Nickel (Bielefeld) MSC: 11R23 11G05 PDFBibTeX XMLCite \textit{F. E. I. Sprung}, J. Number Theory 132, No. 7, 1483--1506 (2012; Zbl 1284.11147) Full Text: DOI arXiv
Walji, Nahid Supersingular distribution on average for congruence classes of primes. (English) Zbl 1197.11067 Acta Arith. 142, No. 4, 387-400 (2010). Reviewer: Andreas Schweizer (Taipei) MSC: 11G05 11N37 PDFBibTeX XMLCite \textit{N. Walji}, Acta Arith. 142, No. 4, 387--400 (2010; Zbl 1197.11067) Full Text: DOI arXiv
Qiu, Derong On some congruence properties of elliptic curves. (English) Zbl 1189.14038 Arch. Math. 94, No. 2, 139-145 (2010). Reviewer: Andrea Bandini (Pisa) MSC: 14H52 11G05 PDFBibTeX XMLCite \textit{D. Qiu}, Arch. Math. 94, No. 2, 139--145 (2010; Zbl 1189.14038) Full Text: DOI arXiv
Charles, Denis X.; Lauter, Kristin E.; Goren, Eyal Z. Cryptographic hash functions from expander graphs. (English) Zbl 1166.94006 J. Cryptology 22, No. 1, 93-113 (2009). MSC: 94A60 05C90 PDFBibTeX XMLCite \textit{D. X. Charles} et al., J. Cryptology 22, No. 1, 93--113 (2009; Zbl 1166.94006) Full Text: DOI
Arias-de-Reyna, Sara; Vila, Núria Tame Galois realizations of \(\text{GL}_2(\mathbb F_{\ell})\) over \(\mathbb Q\). (English) Zbl 1193.11106 J. Number Theory 129, No. 5, 1056-1065 (2009). Reviewer: Bernat Plans (Barcelona) MSC: 11R32 11F80 11G05 PDFBibTeX XMLCite \textit{S. Arias-de-Reyna} and \textit{N. Vila}, J. Number Theory 129, No. 5, 1056--1065 (2009; Zbl 1193.11106) Full Text: DOI
Das, M. Prem Laxman; Sarkar, Palash Pairing computation on twisted Edwards form elliptic curves. (English) Zbl 1186.94433 Galbraith, Steven D. (ed.) et al., Pairing-based cryptography – Pairing 2008. Second international conference, Egham, UK, September 1–3, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-85503-3/pbk). Lecture Notes in Computer Science 5209, 192-210 (2008). MSC: 94A60 11T71 11Y16 PDFBibTeX XMLCite \textit{M. P. L. Das} and \textit{P. Sarkar}, Lect. Notes Comput. Sci. 5209, 192--210 (2008; Zbl 1186.94433) Full Text: DOI
Wedhorn, Torsten The genus of the endomorphisms of a supersingular elliptic curve. (English) Zbl 1223.11076 Argos seminar on intersections of modular correspondences. Papers of the Bonn seminar on arithmetic geometry 2003/2004. Paris: Société Mathématique de France (ISBN 978-2-85629-231-0/pbk). Astérisque 312, 25-47 (2007). MSC: 11G20 11E08 11E12 PDFBibTeX XMLCite \textit{T. Wedhorn}, Astérisque 312, 25--47 (2007; Zbl 1223.11076)
Kwon, Soonhak Efficient Tate pairing computation for elliptic curves over binary fields. (English) Zbl 1127.94348 Boyd, Colin (ed.) et al., Information security and privacy. 10th Australasian conference, ACISP 2005, Brisbane, Australia, July 4–6, 2005. Proceedings. Berlin: Springer (ISBN 3-540-26547-3/pbk). Lecture Notes in Computer Science 3574, 134-145 (2005). MSC: 94A60 14G50 PDFBibTeX XMLCite \textit{S. Kwon}, Lect. Notes Comput. Sci. 3574, 134--145 (2005; Zbl 1127.94348) Full Text: DOI
Brillhart, John; Morton, Patrick Class numbers of quadratic fields, Hasse invariants of elliptic curves, and the supersingular polynomial. (English) Zbl 1083.11036 J. Number Theory 106, No. 1, 79-111 (2004). Reviewer: Horst G. Zimmer (Saarbrücken) MSC: 11G05 11R29 14K15 11R11 14H25 PDFBibTeX XMLCite \textit{J. Brillhart} and \textit{P. Morton}, J. Number Theory 106, No. 1, 79--111 (2004; Zbl 1083.11036) Full Text: DOI
Momose, Fumiyuki; Shimura, Mahoro Lifting of supersingular points on \(X_0(p^r)\) and lower bound of ramification index. (English) Zbl 1032.11024 Nagoya Math. J. 165, 159-178 (2002). Reviewer: D.Poulakis (Thessaloniki) MSC: 11G18 14G35 11G07 PDFBibTeX XMLCite \textit{F. Momose} and \textit{M. Shimura}, Nagoya Math. J. 165, 159--178 (2002; Zbl 1032.11024) Full Text: DOI
Shim, Kyungah Reducing certain elliptic curve discrete logarithms to logarithms in a finite field. (English) Zbl 1008.94540 Varadharajan, Vijay (ed.) et al., Information security and privacy. 6th Australasian conference, ACISP 2001, Sydney, Australia, July 11-13, 2001. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 2119, 514-520 (2001). MSC: 94A60 11T71 14G50 PDFBibTeX XMLCite \textit{K. Shim}, Lect. Notes Comput. Sci. 2119, 514--520 (2001; Zbl 1008.94540) Full Text: Link
Kawazoe, Mitsuru Multiple fibers on elliptic surfaces in positive characteristic. (English) Zbl 0970.14020 J. Math. Kyoto Univ. 40, No. 1, 185-201 (2000). MSC: 14J27 14G15 14J10 14D06 PDFBibTeX XMLCite \textit{M. Kawazoe}, J. Math. Kyoto Univ. 40, No. 1, 185--201 (2000; Zbl 0970.14020) Full Text: DOI
Knudsen, Erik Woodward Elliptic scalar multiplication using point halving. (English) Zbl 0977.94035 Lam, Kwok Yan (ed.) et al., Advances in cryptology - ASIACRYPT ’99. International conference on the theory and application of cryptology and information security, Singapore, November 14-18, 1999. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1716, 135-149 (1999). MSC: 94A60 14H52 14G50 PDFBibTeX XMLCite \textit{E. W. Knudsen}, Lect. Notes Comput. Sci. 1716, 135--149 (1999; Zbl 0977.94035)
Shikata, Junji; Zheng, Yuliang; Suzuki, Joe; Imai, Hideki Optimizing the Menezes-Okamoto-Vanstone (MOV) algorithm for non-supersingular elliptic curves. (English) Zbl 0977.94042 Lam, Kwok Yan (ed.) et al., Advances in cryptology - ASIACRYPT ’99. International conference on the theory and application of cryptology and information security, Singapore, November 14-18, 1999. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1716, 86-102 (1999). MSC: 94A60 14Q05 11Y16 PDFBibTeX XMLCite \textit{J. Shikata} et al., Lect. Notes Comput. Sci. 1716, 86--102 (1999; Zbl 0977.94042)
Wang, Jianwei The supersingular prime divisors of an elliptic curve over \(F_q(T)\). (Chinese) Zbl 0990.11037 Chin. Ann. Math., Ser. A 20, No. 6, 721-726 (1999). Reviewer: Zhang Xianke (Beijing) MSC: 11G05 11G07 PDFBibTeX XMLCite \textit{J. Wang}, Chin. Ann. Math., Ser. A 20, No. 6, 721--726 (1999; Zbl 0990.11037)
Vlădut, S. G. On the cyclicity of elliptic curves over finite field extensions. (English) Zbl 1022.11030 Finite Fields Appl. 5, No. 4, 354-363 (1999). Reviewer: Robert F.Lax (Baton Rouge) MSC: 11G20 14H52 11G05 PDFBibTeX XMLCite \textit{S. G. Vlădut}, Finite Fields Appl. 5, No. 4, 354--363 (1999; Zbl 1022.11030) Full Text: DOI
Kaneko, M.; Zagier, D. Supersingular \(j\)-invariants, hypergeometric series and Atkin’s orthogonal polynomials. (English) Zbl 0955.11018 Buell, D. A. (ed.) et al., Computational perspectives on number theory. Proceedings of a conference in honor of A. O. L. Atkin, Chicago, IL, USA, September 1995. Providence, RI: American Mathematical Society. AMS/IP Stud. Adv. Math. 7, 97-126 (1998). Reviewer: Jannis A.Antoniadis (Iraklion) MSC: 11G20 11F33 14G20 11F11 PDFBibTeX XMLCite \textit{M. Kaneko} and \textit{D. Zagier}, AMS/IP Stud. Adv. Math. 7, 97--126 (1998; Zbl 0955.11018)
Poonen, Bjorn Drinfeld modules with no supersingular primes. (English) Zbl 0898.11024 Int. Math. Res. Not. 1998, No. 3, 151-159 (1998). Reviewer: E.-U.Gekeler (Saarbrücken) MSC: 11G09 11G05 14H52 PDFBibTeX XMLCite \textit{B. Poonen}, Int. Math. Res. Not. 1998, No. 3, 151--159 (1998; Zbl 0898.11024) Full Text: DOI
Homma, Masaaki A combinatorial characterization of the Fermat cubic surface in characteristic 2. (English) Zbl 0878.14024 Geom. Dedicata 64, No. 3, 311-318 (1997). Reviewer: A.Cossidente (Potenza) MSC: 14J25 14G15 14N10 51A20 PDFBibTeX XMLCite \textit{M. Homma}, Geom. Dedicata 64, No. 3, 311--318 (1997; Zbl 0878.14024) Full Text: DOI
Fouvry, Etienne; Murty, M. Ram On the distribution of supersingular primes. (English) Zbl 0864.11030 Can. J. Math. 48, No. 1, 81-104 (1996). Reviewer: H.-G.Rück (Essen) MSC: 11G05 11N05 PDFBibTeX XMLCite \textit{E. Fouvry} and \textit{M. R. Murty}, Can. J. Math. 48, No. 1, 81--104 (1996; Zbl 0864.11030) Full Text: DOI
Schweizer, Andreas On the Drinfeld modular polynomial \(\Phi_ T(X,Y)\). (English) Zbl 0826.11026 J. Number Theory 52, No. 1, 53-68 (1995). Reviewer: D.Goss (Columbus / Ohio) MSC: 11G09 11R58 PDFBibTeX XMLCite \textit{A. Schweizer}, J. Number Theory 52, No. 1, 53--68 (1995; Zbl 0826.11026) Full Text: DOI
Valentini, Robert C. Hyperelliptic curves with zero Hasse-Witt matrix. (English) Zbl 0833.14021 Manuscr. Math. 86, No. 2, 185-194 (1995). Reviewer: J.Jones (Tempe) MSC: 14H52 14H40 14G15 PDFBibTeX XMLCite \textit{R. C. Valentini}, Manuscr. Math. 86, No. 2, 185--194 (1995; Zbl 0833.14021) Full Text: DOI EuDML
Plater, Andrew Supersingular \(p\)-adic height pairings on elliptic curves. (English) Zbl 0846.14021 Childress, Nancy (ed.) et al., Arithmetic geometry. Conference on arithmetic geometry with an emphasis on Iwasawa theory, March 15-18, 1993, Arizona State Univ., Tempe, AZ, USA. Providence, RI: American Mathematical Society. Contemp. Math. 174, 95-105 (1994). Reviewer: J.Jones (Tempe) MSC: 14H52 14G20 11G07 11S31 11R23 14L05 14G40 14G15 PDFBibTeX XMLCite \textit{A. Plater}, Contemp. Math. 174, 95--105 (1994; Zbl 0846.14021)
Menezes, Alfred J.; Okamoto, Tatsuaki; Vanstone, Scott A. Reducing elliptic curve logarithms to logarithms in a finite field. (English) Zbl 0801.94011 IEEE Trans. Inf. Theory 39, No. 5, 1639-1646 (1993). MSC: 94A60 14H52 PDFBibTeX XMLCite \textit{A. J. Menezes} et al., IEEE Trans. Inf. Theory 39, No. 5, 1639--1646 (1993; Zbl 0801.94011) Full Text: DOI
Menezes, Alfred J. [Koblitz, Neal] Elliptic curve public key cryptosystems. Foreword by Neal Koblitz. (English) Zbl 0806.94011 The Kluwer International Series in Engineering and Computer Science. 234. Boston, MA: Kluwer Academic Publishers. xii, 128 p. (1993). Reviewer: M. van der Vlugt (Leiden) MSC: 94A60 11T71 11G20 14G50 94-02 14G15 PDFBibTeX XMLCite \textit{A. J. Menezes}, Elliptic curve public key cryptosystems. Foreword by Neal Koblitz. Boston, MA: Kluwer Academic Publishers (1993; Zbl 0806.94011)
Elkies, Noam D. Distribution of supersingular primes. (English) Zbl 0754.14019 Journées arithmétiques, Exp. Congr., Luminy/Fr. 1989, Astérisque 198-200, 127-132 (1991). Reviewer: G.-E.Winkler (Berlin) MSC: 14H52 14H25 PDFBibTeX XMLCite \textit{N. D. Elkies}, Astérisque 198--200, 127--132 (1991; Zbl 0754.14019)
Kaneko, Masanobu Supersingular j-invariants as singular moduli mod p. (English) Zbl 0733.14013 Osaka J. Math. 26, No. 4, 849-855 (1989). MSC: 14H20 14H52 14K22 PDFBibTeX XMLCite \textit{M. Kaneko}, Osaka J. Math. 26, No. 4, 849--855 (1989; Zbl 0733.14013)
Fujiwara, Yasushi On divisibilities of special values of real analytic Eisenstein series. (English) Zbl 0669.10049 J. Fac. Sci., Univ. Tokyo, Sect. I A 35, No. 2, 393-410 (1988). Reviewer: J.Wolfart MSC: 11F11 14H52 11F33 PDFBibTeX XMLCite \textit{Y. Fujiwara}, J. Fac. Sci., Univ. Tokyo, Sect. I A 35, No. 2, 393--410 (1988; Zbl 0669.10049)
Brown, M. L. Note on supersingular primes of elliptic curves over \({\mathbb{Q}}\). (English) Zbl 0654.14019 Bull. Lond. Math. Soc. 20, No. 4, 293-296 (1988). Reviewer: S.Kamienny MSC: 14H20 14H52 11N05 14K15 PDFBibTeX XMLCite \textit{M. L. Brown}, Bull. Lond. Math. Soc. 20, No. 4, 293--296 (1988; Zbl 0654.14019) Full Text: DOI
Katsura, Toshiyuki; Oort, Frans Supersingular abelian varieties of dimension two or three and class numbers. (English) Zbl 0656.14025 Algebraic geometry, Proc. Symp., Sendai/Jap. 1985, Adv. Stud. Pure Math. 10, 253-281 (1987). Reviewer: D.Bertrand MSC: 14K05 14K10 15B33 16Kxx PDFBibTeX XML
Murty, M. Ram On the supersingular reduction of elliptic curves. (English) Zbl 0654.14018 Proc. Indian Acad. Sci., Math. Sci. (Ramanujan Birth Centenary Volume) 97, No. 1-3, 247-250 (1987). Reviewer: S.Kamienny MSC: 14H20 14H52 11N37 PDFBibTeX XMLCite \textit{M. R. Murty}, Proc. Indian Acad. Sci., Math. Sci. 97, No. 1--3, 247--250 (1987; Zbl 0654.14018) Full Text: DOI
Ekedahl, Torsten On supersingular curves and abelian varieties. (English) Zbl 0641.14007 Math. Scand. 60, 151-178 (1987). Reviewer: F.Herrlich MSC: 14F30 14H40 14K15 14H25 PDFBibTeX XMLCite \textit{T. Ekedahl}, Math. Scand. 60, 151--178 (1987; Zbl 0641.14007) Full Text: DOI EuDML
Katsura, Toshiyuki; Oort, Frans Families of supersingular abelian surfaces. (English) Zbl 0636.14017 Compos. Math. 62, 107-167 (1987). Reviewer: K.Katayama MSC: 14K10 14L30 14B05 14H20 14J50 PDFBibTeX XMLCite \textit{T. Katsura} and \textit{F. Oort}, Compos. Math. 62, 107--167 (1987; Zbl 0636.14017) Full Text: Numdam EuDML
Elkies, Noam D. The existence of infinitely many supersingular primes for every elliptic curve over \(\mathbb Q\). (English) Zbl 0631.14024 Invent. Math. 89, No. 3, 561-567 (1987). Reviewer: Horst G. Zimmer (Saarbrücken) MSC: 11G05 14G25 PDFBibTeX XMLCite \textit{N. D. Elkies}, Invent. Math. 89, 561--567 (1987; Zbl 0631.14024) Full Text: DOI EuDML
Mestre, J.-F. The method of graphs. Examples and applications. (La méthode des graphes. Exemples et applications.) (French) Zbl 0621.14021 Class numbers and fundamental units of algebraic number fields, Proc. Int. Conf., Katata/Jap. 1986, 217-242 (1986). Reviewer: J. G. M. Mars (Utrecht) MSC: 11F25 11F11 11G05 11R21 PDFBibTeX XML
Boxall, John L. A new construction of \({\mathfrak p}\)-adic L-functions attached to certain elliptic curves with complex multiplication. (English) Zbl 0608.14015 Ann. Inst. Fourier 36, No. 4, 31-68 (1986). Reviewer: D.Bertrand MSC: 14G10 14K22 14H45 11S40 14G20 14H20 14H52 PDFBibTeX XMLCite \textit{J. L. Boxall}, Ann. Inst. Fourier 36, No. 4, 31--68 (1986; Zbl 0608.14015) Full Text: DOI Numdam EuDML
Billot, Patrick Quelques aspects de la descente sur une courbe elliptique dans le cas de réduction supersingulière. (Some aspect of the descent on an elliptic curve in the case of supersingular reduction). (French) Zbl 0604.14017 Compos. Math. 58, 341-369 (1986). Reviewer: S.Kammienny MSC: 14H25 14H52 11R18 14H45 14K22 PDFBibTeX XMLCite \textit{P. Billot}, Compos. Math. 58, 341--369 (1986; Zbl 0604.14017) Full Text: Numdam EuDML
Yui, Noriko On the Jacobian varieties of hyperelliptic curves over fields of characteristic \(p>2\). (English) Zbl 0404.14008 J. Algebra 52, 378-410 (1978). MSC: 14H40 14H45 14G15 PDFBibTeX XMLCite \textit{N. Yui}, J. Algebra 52, 378--410 (1978; Zbl 0404.14008) Full Text: DOI