Flexible and scalable FPGA-oriented design of multipliers for large binary polynomials
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 …
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 …
device. Among cryptography algorithms, public-key cryptography, and in particular elliptic …
A versatile and flexible multiplier generator for large integer polynomials
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 …
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
Finite field multiplication is a fundamental and frequently used operation in various
cryptographic circuits and systems. Because of its high complexity, this operation generally …
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 …
of Standards and Technology (NIST) recommended polynomials can be used as a critical …
High-Performance Elliptic Curve Scalar Multiplication Architecture Based on Interleaved Mechanism
High-performance (HP) elliptic curve scalar multiplication (ECSM) hardware
implementations hold significant importance in ensuring communication security in high …
implementations hold significant importance in ensuring communication security in high …
HRM: -Term Heterogeneous Hybrid Blend Recursive Multiplier for GF() Polynomial
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 …
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 …
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 …
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 …
area realizations, for example portable devices and other resource constrained devices. A …