One of the one-way functions used in public key cryptography is the discrete logarithm. Computing r=g² mod p from g, e, and p is easy. But given only r, g and p, recovering e is hard. = 1607, g Suppose p What is the smallest positive integer e such that r = gº mod p? = 7 and r = 464.

One of the one-way functions used in public key cryptography is the discrete logarithm. Computing r=g² mod p from g, e, and p is easy. But given only r, g and p, recovering e is hard. = 1607, g Suppose p What is the smallest positive integer e such that r = gº mod p? = 7 and r = 464.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.2: Logarithmic Functions

Problem 71E

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Question

One of the one-way functions used in public
key cryptography is the discrete logarithm. Computing
r=g² mod p from g, e, and p is easy. But given
only r, g and p, recovering e is hard.
Suppose p = 1607, g
=
7 and r = 464.
What is the smallest positive integer e such that
r = gº mod p?

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