International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Pierrick Méaux

Publications

Year
Venue
Title
2018
ASIACRYPT
On the Concrete Security of Goldreich’s Pseudorandom Generator
Local pseudorandom generators allow to expand a short random string into a long pseudo-random string, such that each output bit depends on a constant number d of input bits. Due to its extreme efficiency features, this intriguing primitive enjoys a wide variety of applications in cryptography and complexity. In the polynomial regime, where the seed is of size n and the output of size $$n^{\textsf {s}}$$ for $$\textsf {s}> 1$$ , the only known solution, commonly known as Goldreich’s PRG, proceeds by applying a simple d-ary predicate to public random size-d subsets of the bits of the seed.While the security of Goldreich’s PRG has been thoroughly investigated, with a variety of results deriving provable security guarantees against class of attacks in some parameter regimes and necessary criteria to be satisfied by the underlying predicate, little is known about its concrete security and efficiency. Motivated by its numerous theoretical applications and the hope of getting practical instantiations for some of them, we initiate a study of the concrete security of Goldreich’s PRG, and evaluate its resistance to cryptanalytic attacks. Along the way, we develop a new guess-and-determine-style attack, and identify new criteria which refine existing criteria and capture the security guarantees of candidate local PRGs in a more fine-grained way.
2017
TOSC
Boolean functions with restricted input and their robustness; application to the FLIP cipher
Claude Carlet Pierrick Méaux Yann Rotella
We study the main cryptographic features of Boolean functions (balancedness, nonlinearity, algebraic immunity) when, for a given number n of variables, the input to these functions is restricted to some subset E of
2016
EUROCRYPT
2015
PKC