Dive into the second part of a comprehensive tutorial on homomorphic encryption presented by Shai Halevi at Crypto 2011 in Santa Barbara, CA. Explore advanced concepts such as Learning with Errors (LWE), the BV'11b construction, dimension reduction techniques, and the transition from Somewhat Homomorphic Encryption (SWHE) to Fully Homomorphic Encryption (FHE). Examine key topics including modulus switching, the BGV'11 leveled FHE, and current status of homomorphic encryption constructions. Gain insights into optimization techniques and variants in this 58-minute in-depth exploration of cutting-edge cryptographic methods.