In this paper, we describe a general principle on how to construct efficient constant time modular inversion based on Fermat's little theorem (FLT) over prime ...

Abstract—As an important operation, modular inversion is crucial for high-performance public key cryptosystems (PKC), especially in Elliptic curve-based ...

A general principle on how to construct efficient constant time modular inversion based on Fermat's little theorem (FLT) over prime fields is described, ...

Sep 9, 2023 · However, it is inefficient for general inputs and can only compute modular inversions over prime numbers. Two constant-time modular inversion ( ...

Bibliographic details on Efficient and Constant Time Modular Inversions Over Prime Fields.

Mar 25, 2022 · Given that inversion is the most sensitive and costly finite field arithmetic operation in PKCs, this paper proposes a new, fast, constant-time ...

A popular approach to realize public-key cryptogra- phy is based on the algebraic structure of elliptic curves over finite fields. This is known as elliptic ...

In this paper we offer new algorithms for one of the most common operations in public key cryptosystems: the inversion over binary Galois fields. The new ...

This paper shows how to modify an algorithm by Kaliski to compute the Montgomery inverse such that it can compute both the classical and Montgomery modular ...

This paper mainly focuses on the cryptographic applications of modular inversion. The two most well-known methods to compute the modular multiplicative inverse ...