ICT582: Python Programming Principles and Practice - Understand RSA using Python - IT/Computer Science Assignment Help

Assignment Task:

Python Lab 5 

LEARNING OBJECTIVES 

• Understand RSA using Python. 

• Learn to use compound data types for cryptographic operations. 

SUBMISSION GUIDELINE 

• Submit a single word document (in the appropriate link in LMS)  with following guidelines: 

o Cover page: Write your ID, Name, Lab number etc

o For every question in the lab: 

? Code: Copy and paste the exact code from your python file. Please 

note – this is not a snapshot. This is the actual code. I should be able to copy your code from here to run in my PyCharm.

? Screenshots: Some input-output screenshots to reflect different sets of inputs and output. Note: Marks will be deducted if you do not follow the exact guideline 

Q1. Write a Python program to find all the prime numbers less than 1000. [use V2 (refer to primality testing slide in topic-6)] 

Q2. Write a Python program to find all the prime numbers less than 1000. [use V3 (refer to primality testing slide in topic-6)] 

Q3. Notice the modular arithmetic property: (A1 x A2 x ..... x An)%N = [(A1%N)x(A2%N)x......x(An%N)]%N ................. (1) 

Ai and N are integers 

In a programming language you can expect an integer will have max and min range. Let’s assume the max and min range of int in python are as follows: 2147483647 and -2147483648 respectively (not necessarily this is the case in Python). 

In M=AxB, if M, A and B are integer type then what are the maximum values you would allow for A and B to avoid overflow? Hint: Any number less than (21474836470.5 - 1) right? Let’s call this number r. 

Write a program that will allow you to perform following operation without overflowing the result. (A1 x A2 x ..... x An)%N. The max values of Ai and N are r. Hint: use equation (1)

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