A Survey on Various Algorithms Used for Elliptic Curve Cryptography

Abstract-- This survey paper reviews latest existing encryption techniques and their security issues. Elliptic Curve Cryptography is gaining attraction with their high level of security with low cost,small key size and smaller hardware realization. A review on various algorithms to perform scalar multiplication on both prime fields and binary fields more effectively has been done. Initially, the double and add algorithm performed in different multipliers always resulted in a long serial point operations and also maintained a challenging critical path delay. But later on, efficient high speed Elliptic Curve Cryptographic processor for binary fields in projective coordinates to improve performance of scalar multiplication has been designed. The recently proposed architecture considers the karatsuba multiplier which is designed for high speed and area constrained applications that reduces the number of clock cycles and the multiplication steps. The new architecture provides integrated high throughput with high power efficiency