SPEAKER: Adriana López-Alt New York University TITLE: Efficient Fully Homomorphic Encryption From (Standard) LWE ABSTRACT: We present a fully homomorphic encryption scheme that is based solely on the (standard) learning with errors (LWE) assumption. Our construction improves on previous works in two aspects: 1. We show that ``somewhat homomorphic'' encryption can be based on LWE, using a new re-linearization technique. In contrast, all previous schemes relied on complexity assumptions related to ideals in various rings. 2. We deviate from the ``squashing paradigm'' used in all previous works. We introduce a new dimension-modulus reduction technique, which shortens the ciphertexts and reduces the decryption complexity of our scheme, without introducing additional assumptions. In contrast, all previous works required an additional, very strong assumption (namely, the sparse subset sum assumption). Work by: Zvika Brakerski and Vinod Vaikuntanathan