A unified toolkit for advanced arithmetic in FHE

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We suggest an extension of discrete--CKKS that enables advanced computations over real, Boolean and large integers (e.g., 64/128-bit), including standard arithmetic operations, comparison, shift, bit length, quotient, square root, and other non linear functions based on binary representation. The flexibility of our approach lies in the synergy between the integer and the real arithmetic layers. At the core of our approach lies indeed a novel non-iterative binary decomposition technique extracti