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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![One of the one-way functions used in public key cryptography is the discrete logarithm. Computing
\[ r \equiv g^e \pmod{p} \]
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
\[ r \equiv g^e \pmod{p} \]
?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F648d38bc-f5b9-4baf-95bc-853621e34b39%2F6419ce23-1493-4a90-bbde-0b1825d67784%2Fha1jh05_processed.jpeg&w=3840&q=75)
Transcribed Image Text:One of the one-way functions used in public key cryptography is the discrete logarithm. Computing
\[ r \equiv g^e \pmod{p} \]
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
\[ r \equiv g^e \pmod{p} \]
?
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