×

Found 512 Documents (Results 1–100)

Factoring integers and oracles for elliptic and hyperelliptic curves. (English) Zbl 07819359

Grześkowiak, Maciej (ed.) et al., Number-theoretic methods in cryptology, NuTMiC 22. Selected papers based on the presentations at the 3rd conference, Poznań, Poland, August 2022. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 126, 27-40 (2023).
PDFBibTeX XMLCite
Full Text: DOI

On the finiteness of the set of generalized Jacobians with nontrivial torsion points over algebraic number fields. (English. Russian original) Zbl 1532.11096

Dokl. Math. 108, No. 2, 382-386 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 513, 66-70 (2023).
PDFBibTeX XMLCite
Full Text: DOI

On the parametrization of hyperelliptic fields with \(S\)-units of degrees 7 and 9. (English. Russian original) Zbl 1517.11083

Math. Notes 112, No. 3, 451-457 (2022); translation from Mat. Zametki 112, No. 3, 444-452 (2022).
PDFBibTeX XMLCite
Full Text: DOI

A family of subfield hyperelliptic curves for use in cryptography. (English) Zbl 1515.94069

Meng, Weizhi (ed.) et al., Information and communications security. 22nd international conference, ICICS 2020, Copenhagen, Denmark, August 24–26, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12282, 543-561 (2020).
MSC:  94A60 14H52
PDFBibTeX XMLCite
Full Text: DOI

The rigid body dynamics in an ideal fluid: Clebsch top and Kummer surfaces. (English) Zbl 1483.37075

Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 2. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 459, 288-312 (2020).
PDFBibTeX XMLCite
Full Text: DOI arXiv Link

Genus 3 hyperelliptic curves with CM via Shimura reciprocity. (English) Zbl 1457.11093

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, 161-178 (2020).
MSC:  11G30 11G15
PDFBibTeX XMLCite
Full Text: DOI arXiv

Fast Jacobian arithmetic for hyperelliptic curves of genus 3. (English) Zbl 1516.14061

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 425-442 (2019).
PDFBibTeX XMLCite
Full Text: DOI arXiv

Jacobian versus infrastructure in split hyperelliptic curves. (English) Zbl 1442.14101

Gueye, Cheikh Thiecoumba (ed.) et al., Algebra, codes and cryptology. Proceedings of the first international conference, A2C 2019, in honor of Prof. Mamadou Sanghare, Dakar, Senegal, December 5–7, 2019. Cham: Springer. Commun. Comput. Inf. Sci. 1133, 183-203 (2019).
PDFBibTeX XMLCite
Full Text: DOI

Constructing hyperelliptic covers for elliptic curves over quadratic extension fields. (English) Zbl 1439.94030

Jang-Jaccard, Julian (ed.) et al., Information security and privacy. 24th Australasian conference, ACISP 2019, Christchurch, New Zealand, July 3–5, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11547, 630-638 (2019).
MSC:  94A60 14G50 11T71
PDFBibTeX XMLCite
Full Text: DOI

Bäcklund transformations and new integrable systems on the plane. (English) Zbl 1428.37056

Buchstaber, Victor M. (ed.) et al., Recent developments in integrable systems and related topics of mathematical physics. Kezenoi-Am, Russia, 2016. Cham: Springer. Springer Proc. Math. Stat. 273, 47-74 (2018).
MSC:  37J38 37J35 14H70
PDFBibTeX XMLCite
Full Text: DOI

Factoring \(n\) and the number of points of Kummer hypersurfaces \(\bmod n\). (English) Zbl 1423.11206

Kaczorowski, Jerzy (ed.) et al., Number-theoretic methods in cryptology. First international conference, NuTMiC 2017, Warsaw, Poland, September 11–13, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10737, 163-177 (2018).
PDFBibTeX XMLCite
Full Text: DOI

An explicit theory of heights for hyperelliptic Jacobians of genus three. (English) Zbl 1406.14023

Böckle, Gebhard (ed.) et al., Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer (ISBN 978-3-319-70565-1/hbk; 978-3-319-70566-8/ebook). 665-715 (2017).
MSC:  14H40 11G10 11G50
PDFBibTeX XMLCite
Full Text: DOI arXiv

qDSA: small and secure digital signatures with curve-based Diffie-Hellman key pairs. (English) Zbl 1380.94119

Takagi, Tsuyoshi (ed.) et al., Advances in cryptology – ASIACRYPT 2017. 23rd international conference on the theory and applications of cryptology and information security, Hong Kong, China, December 3–7, 2017. Proceedings. Part II. Cham: Springer (ISBN 978-3-319-70696-2/pbk; 978-3-319-70697-9/ebook). Lecture Notes in Computer Science 10625, 273-302 (2017).
MSC:  94A60
PDFBibTeX XMLCite
Full Text: DOI arXiv

Field extensions and index calculus on algebraic curves. (English) Zbl 1430.11164

Bassa, Alp (ed.) et al., Arithmetic, geometry, cryptography and coding theory. 15th international conference on arithmetic, geometry, cryptography, and coding theory (AGCT), CIRM, Luminy, France, May 18–22, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 686, 187-199 (2017).
PDFBibTeX XMLCite
Full Text: DOI HAL

Filter Results by …

Document Type

Database

all top 5

Author

all top 5

Serial

all top 5

Year of Publication

all top 3

Main Field