Welcome to the resource topic for 2020/631
Title:
Simultaneous Diagonalization of Incomplete Matrices and Applications
Authors: Jean-Sébastien Coron, Luca Notarnicola, Gabor Wiese
Abstract:We consider the problem of recovering the entries of diagonal matrices \{U_a\}_a for a = 1,\ldots,t from multiple ``incomplete’’ samples \{W_a\}_a of the form W_a=PU_aQ, where P and Q are unknown matrices of low rank. We devise practical algorithms for this problem depending on the ranks of P and Q. This problem finds its motivation in cryptanalysis: we show how to significantly improve previous algorithms for solving the approximate common divisor problem and breaking CLT13 cryptographic multilinear maps.
ePrint: https://eprint.iacr.org/2020/631
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