This blog-post is a short introduction to our new work: “zkSNARKs in the ROM with Unconditional UC-Security”. This is joint work with Alessandro Chiesa, and the full version is available on ePrint. The Universal Composability (UC) [Can01]1 framework is a “gold-standard” for security in cryptography. UC-secure protocols achieve strong security guarantees against powerful adaptive adversaries, and retain these guarantees when used as part of larger protocols. Zero knowledge succinct non-interactive arguments of knowledge are often used within larger protocols deployed in dynamic environments, and so UC-security is a highly desirable, if not necessary, goal....

This blog-post is a short introduction to our new work: “STIR: Reed-Solomon Proximity Testing with Fewer Queries”. This is joint work with Gal Arnon , Alessandro Chiesa , and Eylon Yogev , and the full version is available on ePrint . Code is also available at WizardOfMenlo/stir . Here are also some slides that might be helpful, the recording of the talk at zkSummit11 , and our episode on zkPodcast ....

This blog-post is a short introduction to our new work: “A Time-Space Tradeoff for the Sumcheck Prover”. This is joint work with Alessandro Chiesa, Elisabetta Fedele, Andrew Zitek-Estrada, and the full version is available on ePrint. Code accompanying this work can be found at space-efficient-sumcheck. The sumcheck protocol [LFKN92]1 is an interactive protocol between a prover and a verifier that allows a verifier to succinctly check claims of the form $$ \sum_{\mathbf{b} \in \{0, 1\}^n} p(\mathbf{b}) = \gamma \enspace....

This blog-post is a short introduction to our new work: “SLAP: Succinct Lattice-Based Polynomial Commitments from Standard Assumptions”. This is joint work with Martin Albrecht, Oleksandra Lapiha and Ngoc Khanh Nguyen, and the full version is available on ePrint . Here are also some slides that might be helpful. In our previous paper , we looked at the problem of constructing efficient lattice-based polynomial commitments, to be used in as a drop-in replacement to non-post-quantum secure schemes such as KZG....

In this blog-post, I will be taking a look at my recent work with Hossein Moghaddas and Ngoc Khanh Nguyen, full version . We extend the vector commitment scheme of [WW23]1 with an evaluation proof, and achieve a lattice-based polynomial commitment scheme with polylogarithmic proof size and verifier complexity. We further investigate the applicability of our techniques to the Polynomial IOP of [Marlin]2, show that our scheme is easily batchable and more!...