1 citations · 1 across the 4 of their papers we have counts for
7 papers
A divide-and-conquer sumcheck protocol
Christophe Levrat, Tanguy Medevielle, Jade Nardi
We present a new sumcheck protocol called Fold-DCS (Fold-Divide-and-Conquer-Sumcheck) for multivariate polynomials based on a divide-and-conquer strategy. Its round complexity and…
Curves on Frobenius classical surfaces in over finite fields
Elena Berardini, Jade Nardi
In this paper we give an upper bound on the number of rational points on an irreducible curve of degree defined over a finite field lying on a Frobenius clas…
Interactive Oracle Proofs of Proximity to Algebraic Geometry Codes
Sarah Bordage, Mathieu Lhotel, Jade Nardi +1
In this work, we initiate the study of proximity testing to Algebraic Geometry (AG) codes. An AG code over an algebraic curve is…
Projective toric codes
Jade Nardi
Any integral convex polytope in provides a -dimensional toric variety and an ample divisor on this variety. This paper gives an explicit construct…
Weighted Lifted Codes: Local Correctabilities and Application to Robust Private Information Retrieval
Julien Lavauzelle, Jade Nardi
Low degree Reed-Muller codes are known to satisfy local decoding properties which find applications in private information retrieval (PIR) protocols, for instance. However, their p…
Anticanonical codes from del Pezzo surfaces with Picard rank one
Régis Blache, Alain Couvreur, Emmanuel Hallouin +4
We construct algebraic geometric codes from del Pezzo surfaces and focus on the ones having Picard rank one and the codes associated to the anticanonical class. We give explicit co…
Algebraic Geometric codes on minimal Hirzebruch surfaces
Jade Nardi
We define a linear code by evaluating polynomials of bidegree in the Cox ring on -rational points of the Hirzebruch surface of parameter $η…