Since it was invented in 1986, elliptic curve cryptography (ECC) has been studied widely in
industry and academy from different perspectives. Some of these aspects include …

Although it is one of the most popular signature schemes today, ECDSA presents a number
of implementation pitfalls, in particular due to the very sensitive nature of the random value …

Elliptic Curve Cryptography (ECC) based security protocols require much shorter key space
which makes ECC the most suitable option for resource-limited devices as compared to the …

We select a set of elliptic curves for cryptography and analyze our selection from a
performance and security perspective. This analysis complements recent curve proposals …

We provide two improvements to Regev's quantum factoring algorithm (arXiv: 2308.06572),
addressing its space efficiency and its noise-tolerance. Our first contribution is to improve the …

Public-key cryptography algorithms, especially elliptic curve cryptography (ECC) and elliptic
curve digital signature algorithm (ECDSA) have been attracting attention from many …

We improve the space efficiency of Regev's quantum factoring algorithm [Reg23] while
keeping the circuit size the same. Our main result constructs a quantum factoring circuit …

In this paper, we present a novel lightweight elliptic curve scalar multiplication architecture
for random Weierstrass curves over prime field F p. The elliptic curve scalar multiplication is …

In this survey paper, we present a careful analysis of the Montgomery ladder procedure
applied to the computation of the constant-time point multiplication operation on elliptic …

Elliptic curve cryptosystems are more and more widespread in everyday-life applications.
This trend should still gain momentum in coming years thanks to the exponential security …