Can I read The MMO problem on EtoBox?

The MMO problem by Garcia-Morchon, Oscar; Rietman, Ronald; Tolhuizen, Ludo; Gomez, Domingo; Gutierrez, Jaime is a scholarly article available to read on EtoBox.

What is The MMO problem about?

We consider a two polynomials analogue of the polynomial interpolation problem. Namely, we consider the Mixing Modular Operations (MMO) problem of recovering two polynomials $f\in \Z_p[x]$ and $g\in \Z_q[x]$ of known degree, where $p$ and $q$ are two (un)known positive integers, from the values of $f(t)\bmod p + g(t)\bmod q$ at polynomially many points $t \in \Z$. We show that if $p$ and $q$ are known, the MMO problem is equivalent to computing a close vector in a lattice with respect to the infinity norm. We also implemented in the SAGE system a heuristic polynomial-time algorithm. If $p$ and $q$ are kept secret, we do not know how to solve this problem. This problem is motivated by several potential cryptographic applications.

Author

Garcia-Morchon, Oscar; Rietman, Ronald; Tolhuizen, Ludo; Gomez, Domingo; Gutierrez, Jaime

Published

2014

Language

EN