Introduction to finite fields and their applications
Introduction to finite fields and their applications
VLSI array processors
IEEE Transactions on Computers
Multiplexer-Based Array Multipliers
IEEE Transactions on Computers
IEEE Transactions on Computers
Fast Algorithms for Digital Signal Processing
Fast Algorithms for Digital Signal Processing
A Systolic Power-Sum Circuit for GF(2/sup m/)
IEEE Transactions on Computers
CMOS Circuit Design, Layout, and Simulation, Second Edition
CMOS Circuit Design, Layout, and Simulation, Second Edition
Systolic Multipliers for Finite Fields GF(2m)
IEEE Transactions on Computers
Galois Switching Functions and Their Applications
IEEE Transactions on Computers
The use of finite fields to compute convolutions
IEEE Transactions on Information Theory
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Two novel systolic architectures are presented in this paper for polynomial basis finite field multipliers. Using cut-set systolization technique and modified Booth's recording, we have derived here an efficient realization of multiplexer-based bit-parallel systolic multipliers over GF(2^m). Our multipliers save about 19% space complexity as compared to traditional multipliers, and involve nearly half of the time-complexity of the corresponding existing design. It is shown that the proposed systolic architectures have significantly lower time-area product than existing systolic multipliers. For cryptographic applications, our proposed architectures can have better the time and space complexity. Moreover, these new multipliers are highly regular, modular, and therefore, well-suited for VLSI implementation.