Abstract
The quantum-dot cellular automata, which provides a novel nano-computation paradigm, has got wide acceptance owing to its ultra-high operating speed, extremely low power dissipation with a considerable reduction in feature size. The QCA architectures are emerging as a potential alternative to the conventional complementary metal oxide semiconductor technology. This work mitigates the gap between QCA and coding theory, particularly finite field addition through a redesign-able, reproducible and scalable modular based approach. Primarily, a module to perform modulo-2 addition, namely M2A module is introduced. The notion of M2A module further results in a novel algorithm that generates an approach of QCA design of Galois field (GF)-based polynomial adders. The cost functions are calculated to estimate the operation of M2A-based polynomial adders, the proposed adders are compared with the conventional counterpart, and the best one is reported. The defect- and fault-tolerant behavior of GF(28) polynomial adder is also examined as a particular instance.
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The authors are thankful to Prof. Debdatta Banerjee for her insightful comments in the field.
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Mukherjee, C., Panda, S., Mukhopadhyay, A.K. et al. Introducing Galois field polynomial addition in quantum-dot cellular automata. Appl Nanosci 9, 2127–2146 (2019). https://doi.org/10.1007/s13204-019-01045-x
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DOI: https://doi.org/10.1007/s13204-019-01045-x