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*To*: [email protected]*Subject*: Re: Photuris Primality verification needed*From*: Hilarie Orman <[email protected]>*Date*: Sat, 4 Nov 1995 19:29:10 -0700*Cc*: [email protected], [email protected]*In-Reply-To*: Yourmessage <[email protected]>*Sender*: [email protected]

> Recently, someone asked for a smaller prime of only 512-bits for speed. > This is more than enough for the strength of keys needed for DES, 3DES, > MD5 and SHA. Perhaps this would be easier to have more complete and > robust verification as well. Depending on what you think of the strength of those algorithms, the 512-bit mod p system may not be strong enough. The *strength* of 512-bit mod p DH systems is only about 56 bits. You need 1024-bit primes for a *strength* of 80 bits. In contrast, the 155-bit elliptic curve in the Photuris draft has a strength of about 76 bits.

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