Parallel and high-speed computations of elliptic curve cryptography using hybrid-double multipliers

R Azarderakhsh… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
High-performance and fast implementation of point multiplication is crucial for elliptic curve
cryptographic systems. Recently, considerable research has investigated the …

Improving e-payment security using elliptic curve cryptosystem

OR Vincent, O Folorunso, AD Akinde - Electronic Commerce Research, 2010 - Springer
The use of e-commerce has been associated with a lot of skepticism and apprehension due
to some crimes associated with e-commerce and specifically to payment systems. The …

Throughput/area efficient implementation of scalable polynomial basis multiplication

B Rashidi - Journal of Hardware and Systems Security, 2020 - Springer
In this paper, a scalable throughput/area efficient hardware implementation of polynomial
basis multiplication based on a digit-digit structure is presented. To compute multiplication …

Area/performance trade-off analysis of an FPGA digit-serial GF (2m) Montgomery multiplier based on LFSR

M Morales-Sandoval, C Feregrino-Uribe… - Computers & Electrical …, 2013 - Elsevier
Montgomery Multiplication is a common and important algorithm for improving the efficiency
of public key cryptographic algorithms, like RSA and Elliptic Curve Cryptography (ECC). A …

Low-latency area-efficient systolic bit-parallel GF (2m) multiplier for a narrow class of trinomials

SR Pillutla, L Boppana - Microelectronics Journal, 2021 - Elsevier
Edge computing in Internet of Things (IoT) requires high-performance as well as cost-
effective hardware implementations to accommodate large number of computations …

Performance evaluation of highly efficient techniques for software implementation of LFSR

O Delgado-Mohatar, A Fúster-Sabater… - Computers & Electrical …, 2011 - Elsevier
Linear feedback shift registers (LFSR) are widely used in many different areas. In this paper,
we study the operation of LFSR defined over extension fields GF (2n), instead of traditional …

Efficient Implementation of Low Time Complexity and Pipelined Bit-Parallel Polynomial Basis Multiplier over Binary Finite Fields.

B Rashidi, RR Farashahi, SM Sayedi - Isecure, 2015 - search.ebscohost.com
This paper presents two efficient implementations of fast and pipelined bit-parallel
polynomial basis multipliers over GF (2< sup> m) by irreducible pentanomials and …

FPGA-Optimized Two-Term Karatsuba Multiplications for Large Integer Multiplications

S Kumar, S Patel, S Singh, M Das… - 2024 11th International …, 2024 - ieeexplore.ieee.org
The demand for efficient large integer polynomial multiplications in present day crypto-
systems is the need of the hour. Karatsuba-like multiplication is one of the most efficient …

An Eight-Term Karatsuba Multiplier for Cryptographic Hardware Primitives on FPGAs

S Singh, S Patel, S Kumar, M Das… - 2024 3rd International …, 2024 - ieeexplore.ieee.org
It is essential to have efficient large integer multiplications for current cryptosystems.
Karatsuba-like multiplication is one of the most efficient multiplication algorithms, but is …

Design and Evaluation of FPGA-Optimized Bangladesh Asymmetrical and Symmetrical Five-Term Karatsuba Multipliers

R Maharana, M Das, B Jajodia - 2024 3rd International …, 2024 - ieeexplore.ieee.org
The current demand for efficient multiplication of large integer polynomials in contemporary
cryptographic systems is crucial. This work explores the Karatsuba-like multiplication …