Performance Optimization using Fuzzy Modular Arithmetic in Short-Memory Scalar Multiplication for Koblitz Curve

It is widely recognized that data security, influence ofprocessor types used, resources and the architecture regardingthroughputs are playing a central role in IT systems. EllipticCurve Cryptography (ECC) is a sort of public-key cryptographythat is an alternative to other public-key algorithms like RSA,DSA. It is widely accepted because of the usage of smallerparameters than other public-key cryptosystems but with samelevel of security, reduces the memory consumption of hardwareand software by using the special kind of functionalities and animproved versions of algorithm with a larger margin of theprevious systems by using an extension of ECC called KoblitzCurve.It has becoming increasingly common to implementsuch kind of systems that takes a shorter computational time foran execution of an instruction. The previous versions were of anarithmetic computation that takes a longer time. I haveemphasized on fuzzy modular arithmetic that takes a veryshorter time towards the computational growth compared to thestandard one. I have also measured the performances in threesenses like theoretically, software and hardware perspective thatshows the evolution in the field of cryptograph