# Re: Diffie-Hellman key exchange

let the one-way function be (a ^ b) mod m. What are typical ranges for
a, b and m? I guess a can be small ( 10^1 ?) since (a ^ b) becomes
rather large very quickly.

Yes, the base can be small, as long as it generates a large subgroup
of the multiplicative group mod m. RFC 3526 specifies some groups for
Diffie-Hellman key exchange that use 2 as the base.

You can find more guidance on sizes in:
http://csrc.nist.gov/publications/nistpubs/800-57/sp800-57-Part1-revised2_Mar08-2007.pdf

--
--Bryan
.

## Relevant Pages

• Re: subgroup of unit group
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• Re: multiplicative group of fields
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• Re: subgroup of unit group
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• Re: multiplicative group of fields
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(sci.math)
• Re: Order question
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