A multiplication homomorphism is a specific type of function between two algebraic structures, such as groups or rings, that preserves the operation of multiplication. It ensures that when two elements from one structure are multiplied and then mapped through the homomorphism, the result is the same as if they were first mapped and then multiplied in the target structure. This concept plays a crucial role in understanding how operations can be securely performed in homomorphic encryption without revealing the underlying data.
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