Number theory in science and communication
Number theory in science and communication
A Ternary Systolic Product-Sum Circuit for GF(3**m) using Neuron MOSFETs
ISMVL '96 Proceedings of the 26th International Symposium on Multiple-Valued Logic
Multiple-Valued Galois Field S/D Trees for GFSOP Minimization and Their Complexity
ISMVL '01 Proceedings of the 31st IEEE International Symposium on Multiple-Valued Logic
Constructing Composite Field Representations for Efficient Conversion
IEEE Transactions on Computers
Integration, the VLSI Journal
A multinanodot floating-gate MOSFET circuit for spiking neuron models
IEEE Transactions on Nanotechnology
Systolic Galois field exponentiation in a multiple-valued logic technique
Integration, the VLSI Journal
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A quaternary systolic product-sum computation circuit for GF((22)m) using voltage-mode vMOSFETs is presented. The design is composed of four basic cells connected in a pipelined fashion. Each basic cell is composed of 2 Galois field adders, 2 Galois field multipliers, and 7 flip-flops. The circuit was simulated using Affirma Analog Circuit Design Environment tool supplied by Cadence, and it has shown to perform correctly. The quaternary circuit for GF((22)2) shows a significant amount of savings in both transistor count and number of connections compared to the one that uses the binary field GF(24).