Two: Use code to find a solution to the discrete logarithm problem if it exists: 73 mod 5

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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(Using python) For question 2
Metro by T-... 5:22 PM
One:
Use code to find a solution to the
equation 3* = 1, 594, 323.
Two:
napavalley.instructure.com
Use code to find a solution to the discrete
logarithm problem if it exists:
7 = 3 mod 5
Three:
Use code to find a 2-tuple (a,b) that
satisfies the equation a² +6² = c²
where c²
2725
-
Challenging:
Transcribed Image Text:Metro by T-... 5:22 PM One: Use code to find a solution to the equation 3* = 1, 594, 323. Two: napavalley.instructure.com Use code to find a solution to the discrete logarithm problem if it exists: 7 = 3 mod 5 Three: Use code to find a 2-tuple (a,b) that satisfies the equation a² +6² = c² where c² 2725 - Challenging:
Expert Solution
Step 1 ::

- We have to code for the number 2 problem for logarithmic problem using python.

 

 

- For this problem we will use the Shanks' baby-step giant-step algorithm. 


The algorithm starts by computing two lists of values: the baby steps and the giant steps. The baby steps are the values of a^i for i from 0 to m-1, where m is typically the square root of p. The giant steps are the values of b * a^(-im) for i from 0 to m-1.

The algorithm then sorts the baby steps list and searches for each giant step value in the baby steps list using binary search. If a match is found, the algorithm computes the value of x as i * m + j, where j is the index of the matching baby step.

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