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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 8453 and d = 4961. We want to use the Square and Multiply algorithm to quickly decrypt y = 7475. a) Express d as a binary string (e. g. 10110110). = b) Supposing that initially r = y = 7475, 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, Sc c) What is x = yd mod N?

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 8453 and d = 4961. We want to use the Square and Multiply algorithm to quickly decrypt y = 7475. a) Express d as a binary string (e. g. 10110110). = b) Supposing that initially r = y = 7475, 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, Sc c) What is x = yd mod N?

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t) 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 4961. We want to use the Square and Multiply algorithm to quickly decrypt y = 7475. a) Express d as a binary string (e. g. 10110110). = 8453 and d = b) Supposing that initially r = y = 7475, 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?
Transcribed Image Text:t) 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 4961. We want to use the Square and Multiply algorithm to quickly decrypt y = 7475. a) Express d as a binary string (e. g. 10110110). = 8453 and d = b) Supposing that initially r = y = 7475, 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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