Abstract: A back-gate carbon nanotube field effect transistor (CNFETs) provides: (1) reduced parasitic capacitance, which decreases the energy-delay product (EDP) thus improving the energy efficiency of digital systems (e.g., very-large-scale integrated circuits) and (2) scaling of transistors to smaller technology nodes (e.g., sub-3 nm nodes). An exemplary back-gate CNFET includes a channel. A source and a drain are disposed on a first side of the channel. A gate is disposed on a second side of the channel opposite to the first side. In this manner, the contacted gate pitch (CGP) of the back-gate CNFET may be scaled down without scaling the physical gate length (LG) or contact length (LC). The gate may also overlap with the source and/or the drain in this architecture. In one example, an exemplary CNFET was demonstrated to have a CGP less than 30 nm and 1.6× improvement to EDP compared to top-gate CNFETs.

Abstract: A back-gate carbon nanotube field effect transistor (CNFETs) provides: (1) reduced parasitic capacitance, which decreases the energy-delay product (EDP) thus improving the energy efficiency of digital systems (e.g., very-large-scale integrated circuits) and (2) scaling of transistors to smaller technology nodes (e.g., sub-3 nm nodes). An exemplary back-gate CNFET includes a channel. A source and a drain are disposed on a first side of the channel. A gate is disposed on a second side of the channel opposite to the first side. In this manner, the contacted gate pitch (CGP) of the back-gate CNFET may be scaled down without scaling the physical gate length (LG) or contact length (LC). The gate may also overlap with the source and/or the drain in this architecture. In one example, an exemplary CNFET was demonstrated to have a CGP less than 30 nm and 1.6× improvement to EDP compared to top-gate CNFETs.

Abstract: A Galois field multiply/multiply-add/multiply-accumulate system includes a multiplier circuit for multiplying two polynomials with coefficients over a Galois field to obtain their product; a Galois field linear transformer circuit responsive to the multiplier circuit for predicting the modulo remainder of the polynomial product for an irreducible polynomial; a storage circuit for supplying to the Galois field linear transformer circuit a set of coefficient for predicting the modulo remainder for a predetermined irreducible polynomial; and a Galois field adder circuit for adding the product of the multiplier circuit with a third polynomial with coefficients over a Galois field for performing the multiplication and add operations in a single cycle.