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arXiv · 2506.09569

The Rabin cryptosystem over number fields

Alessandro Cobbe·Andreas Nickel·Akay Schuster
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Abstract

We extend Rabin's cryptosystem to general number fields. We show that decryption of a random plaintext is as hard as the integer factorisation problem, provided the modulus in our scheme has been chosen carefully. We investigate the performance of our new cryptosystem in comparison with the classical Rabin scheme and a more recent version over the Gaussian integers.

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Alessandro Cobbe, Andreas Nickel, Akay Schuster. 2025-06-11. The Rabin cryptosystem over number fields. https://arxiv.org/abs/2506.09569

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