Flexible and scalable FPGA-oriented design of multipliers for large binary polynomials

D Zoni, A Galimberti, W Fornaciari - IEEE Access, 2020 - ieeexplore.ieee.org
With the recent advances in quantum computing, code-based cryptography is foreseen to be
one of the few mathematical solutions to design quantum resistant public-key cryptosystems …

An efficient and high-speed overlap-free karatsuba-based finite-field multiplier for fgpa implementation

M Heidarpur, M Mirhassani - IEEE Transactions on Very Large …, 2021 - ieeexplore.ieee.org
Cryptography systems have become inseparable parts of almost every communication
device. Among cryptography algorithms, public-key cryptography, and in particular elliptic …

A versatile and flexible multiplier generator for large integer polynomials

M Imran, ZU Abideen, S Pagliarini - Journal of Hardware and Systems …, 2023 - Springer
This work presents a versatile and flexible generator of various large integer polynomial
multipliers to be used in hardware cryptocores. Flexibility is offered by allowing circuit …

An optimized m-term karatsuba-like binary polynomial multiplier for finite field arithmetic

M Thirumoorthi, M Heidarpur… - … Transactions on Very …, 2022 - ieeexplore.ieee.org
Finite field multiplication is a fundamental and frequently used operation in various
cryptographic circuits and systems. Because of its high complexity, this operation generally …

High-performance unified modular multiplication algorithm and hardware architecture over G (2m)

S Zhao, D Hu, Z Liu, B Yu, H Huang, C Ma - Integration, 2024 - Elsevier
Abstract The finite field Modular Multiplier (MM) over GF (2 m) based on the National Institute
of Standards and Technology (NIST) recommended polynomials can be used as a critical …

High-Performance Elliptic Curve Scalar Multiplication Architecture Based on Interleaved Mechanism

J Zhang, Z Chen, M Ma, R Jiang… - … Transactions on Very …, 2024 - ieeexplore.ieee.org
High-performance (HP) elliptic curve scalar multiplication (ECSM) hardware
implementations hold significant importance in ensuring communication security in high …

HRM: -Term Heterogeneous Hybrid Blend Recursive Multiplier for GF() Polynomial

DR Vasanthi, SGK Reddy, M Rao - IEEE Transactions on Very …, 2024 - ieeexplore.ieee.org
Hardware-efficient polynomial multipliers are desired to satisfy the ever-growing demands of
computing within the finite field space toward develo** a strong cryptosystems. This …

ATP-Optimized Implementation of Four-Way Toom-Cook Multiplications on FPGAs for Large Integer Arithmetic

M Das, B Jajodia - Circuits, Systems, and Signal Processing, 2025 - Springer
Toom-Cook multiplication algorithm is one of the most efficient method compared to other
traditional large-integer multiplication algorithms. However, in most cases, implementation of …

Design and evaluation of M-term non-homogeneous hybrid Karatsuba polynomial multiplier

SGK Reddy, GRK Reddy… - 2023 IEEE Computer …, 2023 - ieeexplore.ieee.org
Finite-field multipliers progressively plays a crucial role in modern cryptography systems.
While much attention has been given to the development of area-efficient Karatsuba …

Squeezing Area of the Versatile GF (2m) GNB Arithmetic Operators

M Puligunta, H El-Razouk - … on Circuits and Systems I: Regular …, 2023 - ieeexplore.ieee.org
Cryptography primitives have a prominent role in securing applications that may require low-
area realizations, for example portable devices and other resource constrained devices. A …