Zeroizing Without Low-Level Zeroes: New Mmap Attacks And Their Limitations

We extend the recent zeroizing attacks of Cheon, Han, Lee, Ryu and Stehle (Eurocrypt'15) on multilinear maps to settings where no encodings of zero below the maximal level are available. Some of the new attacks apply to the CLT13 scheme (resulting in a total break) while others apply to (a variant of) the GGH13 scheme (resulting in a weak-DL attack). We also note the limits of these zeroizing attacks.