Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   propose a key-exchange system and a public-key encryption scheme based on the class semigroups of imaginary quadratic non-maximal orders, the former is analogous to the Diffie-Hellman's key-exchange system and the latter is similar to the ElGamal's encryption scheme, whose security is based on the difficulty of the discrete logarithm problem of that class semigroup.
['Hwankoo Kim', 'SangJae Moon']
I am writing a research paper on a idea Public-key cryptosystems based on class semigroups of imaginary quadratic non-maximal orders
[{"from": "human", "value": "I am writing a research paper on a idea Public-key cryptosystems based on class semigroups of imaginary quadratic non-maximal orders"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   propose a key-exchange system and a public-key encryption scheme based on the class semigroups of imaginary quadratic non-maximal orders, the former is analogous to the Diffie-Hellman's key-exchange system and the latter is similar to the ElGamal's encryption scheme, whose security is based on the difficulty of the discrete logarithm problem of that class semigroup."}]