Séminaire de Cryptographie

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Ilia Ponomarenko

On homomorpic public-key cryptosystems over groups and rings

We describe new public-key cryptosystems based on secret group and ring homomorphisms. For the group case, we use a secret embedding of a free group of rank 2 to the 2-dimensional modular group. For the ring case, we use a secret homomorphism induced by a secret group homomorphism of the corresponding multiplicative groups.