3 papers
cs.CR2025
The Rabin cryptosystem over number fields
Alessandro Cobbe, Andreas Nickel, Akay Schuster
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…
math.NT2024
On natural complexes in Iwasawa theory
Antonio Mejías Gil, Andreas Nickel
We consider two natural complexes that appear in recent formulations of equivariant Iwasawa main conjectures for extensions of not necessarily totally real fields. We show that bot…
cs.CR2023
RSA+: An RSA variant
Soeren Kleine, Andreas Nickel, Torben Ritter +1
We introduce a new probabilistic public-key cryptosystem which combines the main ingredients of the well-known RSA and Rabin cryptosystems. We investigate the security and performa…