The extended Euclidean algorithm with large-scale polynomials over finite fields is fundamental and widespread in computer science and cryptography, yet it is computationally overloaded for quantities of lightweight devices emerged with the dawn of internet of things (IoT). In this respect, we design...
In this study, basic cryptography terms are mentioned. The RSA algorithm (Rivest-Shamir-Adleman) is the basis of a cryptographic system, a suite of cryptographic algorithms used for private security services or purposes, and this allows public key encryption, widely used to secure pa...
CryptographyAltera KitNumber theoryFPGA designHardware synthesisModular Inverse AlgorithmExtended Euclidean Algorithm (EEA)Modular inverse is a division operation performed over a modulus and is considered as a fundamental operation for many public-key cryptosystems. Extended Euclidean Algorithm (EEA) is ...
The inverter is based on a modified Extended Euclidean Algorithm (EEA). When choosing digit size to be w, this multiplier/inverter finishes one inversion in [2m/w] clock cycles, or two multiplications in parallel in [m/w] clock cycles.Junfeng Fan...