Sumcheck Arguments and their Applications

Katerina Sotiraki

Abstract:

In this talk, I will present sumcheck arguments; a new class of interactive protocols which show that "split-and-fold protocols" (such as Bulletproofs and many more) are consequences of the Lund et al. sumcheck protocol from 1992. I will explain how many existing commitment schemes can be framed as "sumcheck-friendly commitments" over rings and modules, and how to obtain succinct arguments for NP-complete statements over rings. This gives a lattice-based succinct argument from the SIS assumption, which was previously open.

Time and Place

Tuesday, July 13, 12:00pm
Zoom