Abstract— This work describes the smallest known hardware implementation for Elliptic/Hyperelliptic Curve Cryptography (ECC/HECC). We propose two solutions for Publickey Cryptogr...
Algebraic torus-based cryptosystems are an alternative for Public-Key Cryptography (PKC). It maintains the security of a larger group while the actual computations are performed i...
Junfeng Fan, Lejla Batina, Kazuo Sakiyama, Ingrid ...
A cryptographic pairing evaluates as an element of a finite extension field, and the evaluation itself involves a considerable amount of extension field arithmetic. It is recogn...
The generation of prime numbers underlies the use of most public-key cryptosystems, essentially as a primitive needed for the creation of RSA key pairs. Surprisingly enough, despit...
We present a new approach to fault tolerant public key cryptography based on redundant arithmetic in finite rings. Redundancy is achieved by embedding non-redundant field or ring ...