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The Programming Assignment Design a key chain (a number of keys) generation and verification solution by using the one-way key chain mentioned above and then implement it by writing the program(s). Please confirm your solution works as you designed. - Your related documentation should at least include your understanding and thoughts about the one-way key chain, the description of the key generation and verification solution you designed and how you confirm your design works, introduction to your code and program(s), external comments, how to run or compile your code, and all screen shots of running your code/program with detailed steps, as well as all inputs and outputs, etc. Your source code should include internal comments as well as runnable/executable file. - You can use any common programing language and tool to implement it. - You need to demo the generated key chain (with at least 500 keys) and output them, e.g., output them into a text file - please make sure the output is readable in nice format easy to read.

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to generate a sequence of keys that can be verified without revealing the original key. The key chain is generated by applying a one-way function to the original key repeatedly. The output of each iteration is used as the input for the next iteration. The last key in the chain is used as the verification key.

To design a key chain generation and verification solution, you will need to implement a one-way function and use it to generate a chain of keys. You will also need to implement a verification function that takes a key and verifies that it is in the key chain.

Here are the steps you can follow to implement the key chain generation and verification solution:

1. Choose a one-way function, such as SHA-256 or HMAC-SHA256, to use for generating the key chain.

2. Define a starting key, which will be the input to the one-way function.

3. Apply the one-way function to the starting key to generate the first key in the chain.

4. Apply the one-way function to the first key to generate the second key in the chain. Repeat this step until you have generated the desired number of keys in the chain.

5. The last key in the chain is the verification key.

6. To verify a key, apply the one-way function to the starting key and compare the output to the first key in the chain. If they match, apply the one-way function to the first key and compare the output to the second key in the chain. Repeat this step until you have verified the key or reached the end of the chain.

You can implement this solution in any programming language of your choice. You can use a loop to generate the key chain and another loop to verify the key. You can output the key chain to a text file or to the console.

Here is some sample Python code that demonstrates how to generate and verify a key chain using SHA-256:

```python

import hashlib

def generate_key_chain(start_key, num_keys):

key_chain = []

key = start_key

for i in range(num_keys):

key_chain.append(key)

key = hashlib.sha256(key.encode('utf-8')).hexdigest()

return key_chain

def verify_key(key, start_key, key_chain):

hash_key = hashlib.sha256(start_key.encode('utf-

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