VLSI Architectures for Computing Multiplications and Inverses in GF(2m)
IEEE Transactions on Computers
Introduction to finite fields and their applications
Introduction to finite fields and their applications
Structure of parallel multipliers for a class of fields GF(2m)
Information and Computation
An Algorithm to Design Finite Field Multipliers Using a Self-Dual Normal Basis
IEEE Transactions on Computers
IEEE Transactions on Computers
Bit serial multiplication in finite fields
SIAM Journal on Discrete Mathematics
IEEE Transactions on Computers - Special issue on computer arithmetic
Efficient Multiplier Architectures for Galois Fields GF(24n)
IEEE Transactions on Computers
Low-Complexity Bit-Parallel Canonical and Normal Basis Multipliers for a Class of Finite Fields
IEEE Transactions on Computers
Low Complexity Bit-Parallel Multipliers for a Class of Finite Fields
IEEE Transactions on Computers
Multiplexer-Based Array Multipliers
IEEE Transactions on Computers
New Low-Complexity Bit-Parallel Finite Field Multipliers Using Weakly Dual Bases
IEEE Transactions on Computers
Efficient Normal Basis Multipliers in Composite Fields
IEEE Transactions on Computers
An Efficient Optimal Normal Basis Type II Multiplier
IEEE Transactions on Computers
IEEE Transactions on Computers
A Fast Algorithm for Multiplicative Inversion in GF(2m) Using Normal Basis
IEEE Transactions on Computers
Fast Algorithms for Digital Signal Processing
Fast Algorithms for Digital Signal Processing
A New Construction of Massey-Omura Parallel Multiplier over GF(2^{m})
IEEE Transactions on Computers
GF(2m) Multiplication and Division Over the Dual Basis
IEEE Transactions on Computers
IEEE Transactions on Computers
Bit-Parallel Finite Field Multiplier and Squarer Using Polynomial Basis
IEEE Transactions on Computers
VLSI Designs for Multiplication over Finite Fields GF (2m)
AAECC-6 Proceedings of the 6th International Conference, on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Fast Normal Basis Multiplication Using General Purpose Processors
IEEE Transactions on Computers
CMOS Circuit Design, Layout, and Simulation, Second Edition
CMOS Circuit Design, Layout, and Simulation, Second Edition
CMOS Digital Integrated Circuits Analysis & Design
CMOS Digital Integrated Circuits Analysis & Design
Galois Switching Functions and Their Applications
IEEE Transactions on Computers
Efficient bit-serial multiplication and the discrete-time Wiener-Hopf equation over finite fields
IEEE Transactions on Information Theory
The use of finite fields to compute convolutions
IEEE Transactions on Information Theory
Bit-serial Reed - Solomon encoders
IEEE Transactions on Information Theory
Information Processing Letters
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New bit-parallel dual basis multipliers using the modified Booth's algorithm are presented. Due to the advantage of the modified Booth's algorithm, two bits are processed in parallel for reduction of both space and time complexities. A multiplexer-based structure has been proposed for realization of the proposed multiplication algorithm. We have shown that our multiplier saves about 9% space complexity as compared to other existing multipliers if the generating polynomial is trinomial or all one polynomial. Furthermore, the proposed multiplier is faster than existing multipliers.