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Isogeny-based cryptography on the (abelian) surface
Multi angle
Authors : Ti, Yan Bo (Author of the conference)
CIRM (Publisher )
11Z05 - Miscellaneous applications of number theory
14G50 - Applications to coding theory and cryptography - application à la théorie de codes et à la cryptographie
94A60 - Cryptography
CIRM (Publisher )
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Abstract :
It is an understatement to say that isogeny-based cryptography has been on a journey of ups and downs. Through the course of this journey, various techniques have been used to analyse isogeny-based cryptosystems. One of which, is using genus two methods to examine and build isogeny-based cryptosystems, and ultimately break one of the most promising key exchange schemes, SIDH. In this talk, we will look at cameos and appearances of genus two in isogeny-based cryptography. We will survey the landscape and see how genus two can be used constructively and sometimes destructively on isogeny-based cryptography.
Keywords : isogeny-based cryptography; genus-two
MSC Codes : Keywords : isogeny-based cryptography; genus-two
11Z05 - Miscellaneous applications of number theory
14G50 - Applications to coding theory and cryptography - application à la théorie de codes et à la cryptographie
94A60 - Cryptography
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 28/06/2023 Conference Date : 08/06/2023 Subseries : Research talks arXiv category : Number Theory Mathematical Area(s) : Number Theory Format : MP4 (.mp4) - HD Video Time : 00:56:12 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-06-08_bo-ti.mp4 
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Information on the Event
Event Title : AGCT - Arithmetic, Geometry, Cryptography and Coding Theory / AGCT - Arithmétique, géométrie, cryptographie et théorie des codesEvent Organizers : Anni, Samuele ; Bruin, Nils ; Kohel, David ; Martindale, Chloe Dates : 05/06/2023 - 09/06/2023 Event Year : 2023 Event URL : https://conferences.cirm-math.fr/2889.html
Citation Data
DOI : 10.24350/CIRM.V.20055103Cite this video as: Ti, Yan Bo (2023). Isogeny-based cryptography on the (abelian) surface. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20055103 URI : http://dx.doi.org/10.24350/CIRM.V.20055103 |
See Also
- [Multi angle] An efficient break of the supersingular isogeny Diffie-Hellman protocol / Author of the conference Castryck, Wouter.
- [Multi angle] Probabilistic approaches to rational points on algebraic surfaces / Author of the conference Várilly-Alvarado, Anthony.
- [Multi angle] The geometry of stable lattices in Bruhat-Tits buildings / Author of the conference Stanojkovski, Mima.
- [Multi angle] Computing Ceresa classes of curves / Author of the conference Srinivasan, Padmavathi.
- [Multi angle] Counting S4 and S5 extensions satisfying the Hasse norm principle / Author of the conference Newton, Rachel.
Bibliography
- LEGROW, Jason T., TI, Yan Bo, et ZOBERNIG, Lukas. Supersingular Non-Superspecial Abelian Surfaces in Cryptography. Cryptology ePrint Archive, 2022. - https://eprint.iacr.org/2022/650
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