A stranger offers to initiate Diffie-Hellman key exchange. They offer the following options for parameters (p, a). Which parameters are valid? 1) (1931,3) 2) (1931,8) 3) (1931,13) 4) (1931,6) 5) (1931,7) 6) (1931,18) 7) (1931,10)
A stranger offers to initiate Diffie-Hellman key exchange. They offer the following options for parameters (p, a). Which parameters are valid? 1) (1931,3) 2) (1931,8) 3) (1931,13) 4) (1931,6) 5) (1931,7) 6) (1931,18) 7) (1931,10)
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Transcribed Image Text:**Diffie-Hellman Key Exchange Parameters**
In this scenario, a stranger offers to initiate a Diffie-Hellman key exchange and presents the following parameter options in the form of \((p, \alpha)\). The task is to determine which of these pairs are valid for secure key exchange.
Possible parameters:
1. \((1931, 3)\)
2. \((1931, 8)\)
3. \((1931, 13)\)
4. \((1931, 6)\)
5. \((1931, 7)\)
6. \((1931, 18)\)
7. \((1931, 10)\)
To verify the validity of the parameters:
- \(p\) should be a prime number.
- \(\alpha\) should be a primitive root modulo \(p\).
Participants must confirm the primality of \(p\) and the primitive root property of \(\alpha\) for the secure exchange of keys.
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