Modular invariant theory: Difference between revisions

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The '''YAK''' is a public-key authenticated [[key agreement protocol]].<ref>F. Hao, [http://sites.google.com/site/haofeng662/YAK-short-final.pdf On Robust Key Agreement Based on Public Key Authentication]. ''Proceedings of the 14th International Conference on Financial Cryptography and Data Security, Tenerife, Spain, LNCS 6052, pp. 383-390, Jan, 2010.</ref> It is considered the simplest among the related protocols, including [[MQV]], HMQV, [[Station-to-Station protocol]], [[Secure Sockets Layer|SSL]]/[[Transport Layer Security|TLS]] etc. The authentication is based on public key pairs. As with other protocols, YAK normally requires a [[Public Key Infrastructure]] to distribute authentic public keys to the communicating parties. The author suggests that YAK may be unencumbered by patent.
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==Description==
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Two parties, Alice and Bob, agree on a group <math>G</math> with generator <math>g</math> of prime order <math>q</math> in
which the discrete log problem is hard. Typically a [[Schnorr group]] is used. In general, YAK can use any prime order group
that is suitable for public key cryptography, including [[elliptic curve cryptography]]. Let <math>g^a</math> be Alice's long-term public key and <math>g^b</math> be Bob's. The protocol executes in one round.
 
'''One round''': Alice selects <math>x \in_R [0, q-1]</math> and sends out <math>g^x</math> together with a [[zero-knowledge proof]] (using for example [[Schnorr signature]]) for the proof of the exponent <math>x</math>. Similarly, Bob selects <math>y \in_R [0, q-1]</math> and sends out <math>g^{y}</math> together with a [[zero-knowledge proof]] for the proof of the exponent <math>y</math>.
 
The above communication can be completed in one round as neither party depends on the other. When it finishes, Alice and Bob verify the received [[zero-knowledge proofs]]. Alice then computes <math>K = (g^{y} g^{b}) ^ {x + a}= g^{(x + a) (y + b)}</math>. Similarly, Bob computes <math>K = (g^{x} g^{a}) ^ {y + b} = g^{(x + a) (y + b)}</math>. With the same keying material <math>K</math>, Alice and Bob can derive a session key using a [[cryptographic hash function]]: <math>\kappa = H(K)</math>.
 
==Security properties==
 
Given that the underlying [[Non-interactive zero-knowledge proof|zero knowledge proof]] primitive is secure, the YAK protocol is proved to fulfill the following properties.
 
# '''Private key security''' - An attacker cannot learn the user's static private key even if he is able to learn all session specific secrets in any compromised session.
# '''Full forward secrecy''' - Session keys that were securely established in the past uncorrupted sessions will remain incomputable in the future even when both users' static private keys are disclosed.
# '''Session key security''' - An attacker cannot compute the session key if he impersonates a user but has no access to the user's private key.
 
==References==
 
<references/>
 
==External links==
* [http://eprint.iacr.org/2010/136.pdf On Robust Key Agreement Based on Public Key Authentication (Full Paper)]
 
[[Category:Cryptography]]
[[Category:Cryptographic protocols]]

Latest revision as of 20:14, 15 March 2014

According to dove Philippines, since the time that Dove was found to be more subtle than an ordinary soap, Unilever have positioned the brand throughout its history without referring to it as "soap", but as a "beauty bar" with one-fourth cleansing cream. Another herbal product gaining popularity these days is the nova hardhold hairstyling gel. Making your own beauty products is a fantastic solution for people with allergies or sensitive skin, as it allows the consumer to control exactly what they come in contact with. Dermalogica has an extensive skin care portfolio, so you can be sure to find exactly what you need to buy that will give you the results you are looking for. The high quality products from NSI always stand for high performance and reliability.

When it comes to beauty soaps in the Philippines, Dove has always been considered as number one. Finally, your mood will soar when you get a glimpse of your gorgeous new look, sculpted by our visionary and experienced NAKe - D Hair Artistic Team. When you mix your own ingredients, it eliminates the guessing game about what exactly you are putting on your skin. The skin around your eyes is very delicate and is usually the first place wrinkles and environmental damage will appear, so extra care is needed when treating this area. com is one of the most important stores of hair products that deal well with the need and requirement of clients.

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