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SUMMARY:On Isogeny-based identifications protocols and proof of isogeny kn
 owledge
DTSTART:20220725T080000
DTEND:20220725T100000
DTSTAMP:20260407T113947Z
UID:d26f2a17003c7e8ed0e3cb16e888e0bcb83afa15f28cc511943a65f8
CATEGORIES:Conferences - Seminars
DESCRIPTION:Laurane Marco\nEDIC candidacy exam\nExam president: Prof. Brya
 n Ford\nThesis advisor: Prof. Serge Vaudenay\nCo-examiner: Prof. Alessandr
 o Chiesa\n\nAbstract\nIsogeny-based cryptography is a branch of post-quant
 um cryptography.  In this paper we explore identification protocols based
  on an isogeny protocol called SIDH \\cite{sidh}. Identification protocols
  are a tool for authentication\, and can be used as a basis for digital si
 gnatures.\nA key building block of this SIDH-based identification protocol
  is a proof of isogeny-knowledge\, which can additionally act as a counter
 measure to prevent some active attacks in the context of public-key encryp
 tion. We show however that obtaining a sound zero-knowledge proof of knowl
 edge is not easy\, as highlighted by Ghantous et al.  and De Feo et al. 
  and explore their possible solutions. Finally\, we highlight possible res
 earch directions to improve upon the current state of the art in terms of 
 isogeny-based identifications protocols\, digital signatures and proofs of
  knowledge.\n\nBackground papers\n1- Towards quantum-resistant crypto syst
 ems from super singular elliptic curve isogenies - Lucas de Feo\, David Ja
 o\, Jérôme Plût https://eprint.iacr.org/2011/506.pdf \n\n2- Collision
 s in Supersingular Isogeny Graphs and the SIDH-based Identification protoc
 ol  - Wissam Ghantous\, Shuichi Katsumata\, Federico Pintore\, Mattia Ver
 oni https://eprint.iacr.org/2021/1051.pdf \n\n3- Side Proof of knowledge
  - Luca De Feo\, Samuel Dobson\, Steven D. Galbraith\, Lukas Zobernig htt
 ps://eprint.iacr.org/2021/1023.pdf 
LOCATION:INF 220 https://plan.epfl.ch/?room==INF%20220
STATUS:CONFIRMED
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