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(1 point) The speed of RSA hinges on the ability to do large modular exponentiations quickly. While can be made small, d generally cannot. A

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(1 point) The speed of RSA hinges on the ability to do large modular exponentiations quickly.

While can be made small, d generally cannot.

A popular method for fast modular exponentiation is the Square and Multiply algorithm.

Suppose that =11623 and =7579. We want to use the Square and Multiply algorithm to quickly decrypt =5788.

a) Express as a binary string (.. 10110110).

b) Supposing that initially ==5788, enter the order of square operations (SQ) and multiply operations (MUL) that must be performed on to compute ^()mod. Enter as a comma separated list, for example ,,,,,,,,,,.

c) What is =^()mod?

Chapter 7: Problem 3 Previous Problem Problem List Next Problem (1 point) The speed of RSA hinges on the ability to do large modular exponentiations quickly. While e can be made small, d generally cannot. A popular method for fast modular exponentiation is the Square and Multiply algorithm. Suppose that N = 11623 and d = 7579. We want to use the Square and Multiply algorithm to quickly decrypt y = 5788. a) Express d as a binary string (e. g. 10110110). = b) Supposing that initially r = y = 5788, enter the order of square operations (SQ) and multiply operations (MUL) that must be performed on r to compute yd mod N. Enter as a comma separated list, for example SQ, MUL, SQ, SQ, SQ, MUL, SQ, SQ, MUL, SQ, SQ. c) What is x = yd mod N? =

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