Area-time efficient hardware implementation of modular multiplication for elliptic curve cryptography

MDM Islam, MDS Hossain, MD Shahjalal… - IEEE …, 2020 - ieeexplore.ieee.org
In this paper, an area-time efficient hardware implementation of modular multiplication over
five National Institute of Standard and Technology (NIST)-recommended prime fields is …

ECSM: efficient FPGA implementation of elliptic curve scalar multiplication over generic prime field GF(p)

K Javeed, A El-Moursy, D Gregg - The Journal of Supercomputing, 2024 - Springer
Elliptic curve scalar multiplication (ECSM) is the primitive operation that is also the main
computational hurdle in almost all protocols based on elliptic curve cryptography (ECC) …

High performance hardware support for elliptic curve cryptography over general prime field

K Javeed, X Wang, M Scott - Microprocessors and Microsystems, 2017 - Elsevier
Secure information exchange in resource constrained devices can be accomplished
efficiently through elliptic curve cryptography (ECC). Due to the high computational …

FPGA-based optimized design of montgomery modular multiplier

AAH Abd-Elkader, M Rashdan… - … on Circuits and …, 2020 - ieeexplore.ieee.org
This brief introduces FPGA-based optimized implementation of Montgomery Modular
Multiplier (MMM) architecture. The novel architecture of the proposed design enhanced the …

Low latency flexible FPGA implementation of point multiplication on elliptic curves over GF(p)

K Javeed, X Wang - International Journal of Circuit Theory and …, 2017 - Wiley Online Library
Elliptic curve cryptography (ECC) is a branch of Public‐Key cryptography that is widely
accepted for secure data exchange in many resource‐limited devices. This paper presents a …

A design and implementation of montgomery modular multiplier

R Liu, S Li - 2019 IEEE International Symposium on Circuits …, 2019 - ieeexplore.ieee.org
Large integer multiplication is the critical operation to design a modular multiplier. Karatsuba
algorithm (KO algorithm) to split the operands into two parts is generally used to design a …

Efficient implementation of Montgomery modular multiplier on FPGA

AAH Abd-Elkader, M Rashdan… - Computers & Electrical …, 2022 - Elsevier
Recent developments in embedded devices have enhanced the demand for systems using
compact cryptographic modules. Modular multiplication with large modulus is a central …

High-speed FPGA implementation of full-word Montgomery multiplier for ECC applications

S Khan, K Javeed, YA Shah - Microprocessors and Microsystems, 2018 - Elsevier
Modular multiplication is the most crucial operation in many public-key crypto-systems,
which can be accomplished by integer multiplication followed by a reduction scheme. The …

Redundant-signed-digit-based high speed elliptic curve cryptographic processor

YA Shah, K Javeed, S Azmat, X Wang - Journal of Circuits, Systems …, 2019 - World Scientific
In this paper, a high speed elliptic curve cryptographic (ECC) processor for National Institute
of Standards and Technology (NIST) recommended prime P− 2 5 6 is proposed. The …

A high‐speed RSD‐based flexible ECC processor for arbitrary curves over general prime field

YA Shah, K Javeed, S Azmat… - International Journal of …, 2018 - Wiley Online Library
This workpresents a novel high‐speed redundant‐signed‐digit (RSD)‐based elliptic curve
cryptographic (ECC) processor for arbitrary curves over a general prime field. The proposed …