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Aspects of methods to compute on encrypted data, via FHE and threshold schemes, will be discussed. Topic 1: High-Precision Arithmetic in Homomorphic Encryption Authors: Hao Chen; Kim Laine; Rachel Player; Yuhou Xia Topic 2: Threshold Properties of Prime Power Subgroups with Application to Secure Integer Comparisons Authors: Rhys Carlton; Aleksander Essex; Krzysztof Kapulkin