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Computer Science (a) Suppose that NAF (non-adjacent form) integer representation of x is used in an algorithm analogous to DOUBLE-AND-(ADD OR SUBTRACT) for computing

Computer Science (a) Suppose that NAF (non-adjacent form) integer representation of x is used in an algorithm analogous to DOUBLE-AND-(ADD OR SUBTRACT) for computing ax (mod p). Give a pseudo- code of such an algorithm. (b) Explain why such modification doesn't make much sense, while the algorithm DOUBLE-AND-(ADD OR SUBTRACT) is very useful for scalar point multiplication on elliptic curves. (c) Compute NAF of 1023.

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a Use the Extended Euclidean algorithm for computing the modular inverse of a If a 0 then gcda p p and x cannot be found p 0 or a 1 or p 1 mod a p 1 o... blur-text-image

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