The design of algorithms and hardware implementation for signal processing systems has
received considerable attention over the last few decades. The primary area of application …

Cryptography plays a major role assuring security in computation and communication. In
particular, public-key cryptography enables the asymmetrical ciphering of data along with …

In this paper, a high-speed elliptic curve cryptography (ECC) processor specialized for
primes recommended by the National Institute of Standards and Technology (NIST) was …

Acceleration of cryptographic applications on massive parallel computing platforms, such as
Graphic Processing Units (GPUs), becomes a real challenge concerning practical …

This paper is a survey of Montgomery reduction in the context of residue number system
arithmetic. We present the main variants of RNS Montgomery reduction, some efficient …

In this paper, we present memory-efficient and scalable implementations of NIST
standardized elliptic curves P-256, P-384 and P-521 on three ARMv6-M processors (ie …

The paper describes a new RNS modular multiplication algorithm for efficient
implementations of ECC over F _P FP. Thanks to the proposition of RNS-friendly Mersenne …

The adapted modular number system (AMNS) is an integer number system which aims to
speed up arithmetic operations modulo a prime p. Such a system is defined by a tuple (p, n …

Base extension is a critical operation in RNS implementations of asymmetric cryptosystems.
In this paper, we propose a new way to perform base extensions using a hierarchical …

Elliptic curve cryptography (ECC) is widely used in the field of cyber security such as TLS
protocol. Compared with symmetric cryptography, the computation of ECC is much slower. In …