Encrypted key exchange: password-based protocols secure against dictionary attacks
Citations
63 citations
62 citations
Cites background from "Encrypted key exchange: password-ba..."
...Bellovin and Merritt [8] was the first to consider how two parties, who only share a weak, low-entropy password and who are communicating over a public network, authenticate each other and agree on a high-entropy cryptographic key to be used for protecting their subsequent communication....
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62 citations
62 citations
Cites background or methods from "Encrypted key exchange: password-ba..."
...The current pool of practical protocols3 can essentially be classified into two categories: the first we shall call the class of Random Oracle Model (ROM)-based PAKEs (such as [5, 12, 38, 13, 27, 8, 3]), and the second, the class of Common Reference String (CRS)-based PAKEs (such as [30, 14, 20, 24, 32])....
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...PAKE was essentially invented by Bellovin and Merritt in [8]....
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62 citations
References
14,980 citations
"Encrypted key exchange: password-ba..." refers background or methods in this paper
...ElGamal’s algorithm is derived from the DiffieHellman exponential key exchange protocol[2]; accordingly, we will review the latter first....
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...And even this risk is minimal if B performs certain checks to guard against easily-solvable choices: that β is indeed prime, that it is large enough (and hence not susceptible to precalculation of tables), that β − 1 have at least one large prime factor (to guard against Pohlig and Hellman’s algorithm[13]), and that α is a primitive root of GF (β)....
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...The use given above for asymmetric encryption — simply using it to pass a key for a symmetric encryption system — is an example of what Diffie and Hellman[2] call a public key distribution system....
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...It works especially well with exponential key exchange [2]....
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14,659 citations
"Encrypted key exchange: password-ba..." refers methods in this paper
...Section 2 describes the asymmetric cryptosystem variant and implementations using RSA[ 3 ] and ElGamal[4]....
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...We will use RSA[ 3 ] to illustrate the difficulties....
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"Encrypted key exchange: password-ba..." refers background in this paper
...Can such a random odd number less than a known n be distinguished from a valid public key e? Assume that p and q are chosen to be of the form 2p′ + 1 and 2q′ + 1, where p′ and q′ are primes, a choice that is recommended for other reasons [9]....
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