High-Precision Exact FHE Made Simple, General, and Fast

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Many important applications of fully homomorphic encryption (FHE) require arithmetic on *high-precision* plaintexts, e.g., from the ring $\mathbb{Z}_p$ for a huge prime or power-of-two modulus $p$. The classic FHE schemes are poorly suited to this, because the inverse error rate of fresh ciphertexts, and the error growth under homomorphic multiplication, are both larger than $p$, which results in large and inefficient parameters. While there are now several works addressing this problem, the l