History
SPEKE is one of the older and well-known protocols in the relatively new field of password-authenticated key exchange. It was first described by David Jablon in 1996. In this publication Jablon also suggested a variant where, in step 2 of the protocol, g is calculated as g = gqS with a constant gq. However, this construction turned out to be insecure against dictionary attacks and was therefore not recommended anymore in a revised version of the paper. In 1997 Jablon refined and enhanced SPEKE with additional variations, including an augmented password-authenticated key agreement method called B-SPEKE. Since 1997 no flaws have been published for SPEKE. A paper published by MacKenzie in 2001 presents a proof in the random oracle model that SPEKE is a secure PAKE protocol (using a somewhat relaxed definition) based on a variation of the Decision Diffie-Hellman assumption.
Since 1999, the protocol has been used by several companies in a variety of products, typically supplementing other cryptographic techniques.
Read more about this topic: SPEKE (cryptography)
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