The Hunting of the SNARK Nir Bitansky Ran Canetti Alessandro - PowerPoint PPT Presentation

Feb 06, 2024 •415 likes •567 views

The Hunting of the SNARK Nir Bitansky Ran Canetti Alessandro Chiesa Eran Tromer Succint Noninteractive Argument of Knowledge Kilian '92 Micali '00 Aiello Bhatt Ostrovsky Rajagopalan '00 Dwork Langberg Naor Nissim Reingold '04 Di Crescenzo

The Hunting of the SNARK Nir Bitansky Ran Canetti Alessandro Chiesa Eran Tromer
Succint Noninteractive Argument of Knowledge Kilian '92 Micali '00 Aiello Bhatt Ostrovsky Rajagopalan '00 Dwork Langberg Naor Nissim Reingold '04 Di Crescenzo Lipmaa '08 Mie '08 Gentry Wichs '11 Carroll '76
Verifier generates and publishes Prover picks NP statement “exists w such that a reference string M(x,w)=1” and sends M,x, and a succint proof Verifier efficiently checks proof and is convinced that prover knows a witness w.
SNARK
ECRH SNARK
ECRH SNARK
Knowledge Assumptions ECRH SNARK
Knowledge of Exponent Knowledge Assumptions ECRH SNARK
Knowledge of Exponent Noisy Multiples Knowledge Assumptions ECRH SNARK
Knowledge of Exponent Noisy Multiples Noisy Inner Products Knowledge Assumptions ECRH SNARK
Knowledge of Exponent Noisy Multiples Noisy Inner Products Knowledge of Icecream Knowledge Assumptions ECRH SNARK
Knowledge of Icecream Assumption
The method employed I would gladly define, While I have it so clear in my head, If I had but the slides and you had but the time — But much yet remains to be said. http://eprint.iacr.org/ 2011/443

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