Answer:
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-