Introduction to finite fields and their applications
Introduction to finite fields and their applications
Multiplexer-Based Array Multipliers
IEEE Transactions on Computers
An Efficient Optimal Normal Basis Type II Multiplier
IEEE Transactions on Computers
IEEE Transactions on Computers
A New Construction of Massey-Omura Parallel Multiplier over GF(2^{m})
IEEE Transactions on Computers
Fast Normal Basis Multiplication Using General Purpose Processors
IEEE Transactions on Computers
Low Complexity Word-Level Sequential Normal Basis Multipliers
IEEE Transactions on Computers
Efficient Algorithms and Architectures for Field Multiplication Using Gaussian Normal Bases
IEEE Transactions on Computers
The new architecture of Chinese abacus multiplier
WSEAS Transactions on Computers
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This paper purposed a Booth's multiplier for normal basis multiplier. The architecture is simple and highly regular architecture for finite fields using a new modified Booth's algorithm. The proposed multiplier for finite fields requires a significantly lower number of bit level operations and, hence, can reduce the space complexity of cryptographic systems. It is shown that proposed multiplier for type-2 normal basis of GF(2m) saves approximately 10% space complexity as compared to related parallel multipliers. Moreover, the proposed architecture is regularity and modularity; they are well suited to VLSI implementations.