OK. I don’t have a clue either.
BTW, how long until someone gets offended over the name:
“fully homomorphic encryption”
Heteromorphic? Yes.
Homomorphic? Are you kidding me? LMAO
A homomorphism is a map that preserves selected structure between two algebraic structures, with the structure to be preserved being given by the naming of the homomorphism. Particular definitions of homomorphism include the following:
A semigroup homomorphism is a map that preserves an associative binary operation.
A monoid homomorphism is a semigroup homomorphism that maps the identity element to the identity of the codomain.
A group homomorphism is a homomorphism that preserves the group structure. It may equivalently be defined as a semigroup homomorphism between groups.
A ring homomorphism is a homomorphism that preserves the ring structure. Whether the multiplicative identity is to be preserved depends upon the definition of ring in use.
A linear map is a homomorphism that preserves the vector space structure, namely the abelian group structure and scalar multiplication. The scalar type must further be specified to specify the homomorphism, e.g. every R-linear map is a Z-linear map, but not vice versa.
An algebra homomorphism is a homomorphism that preserves the algebra structure.
A functor is a homomorphism between two categories.
Is it clear, now?