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Blom's scheme : ウィキペディア英語版
Blom's scheme
Blom's scheme is a symmetric threshold key exchange protocol in cryptography. The scheme was proposed by the Swedish cryptographer Rolf Blom in a series of articles in the early 1980s.〔Blom, Rolf. Non-public key distribution. In Proc. CRYPTO 82, pages 231–236, New York, 1983. Plenum Press〕〔Blom, Rolf. "An optimal class of symmetric key generation systems", Report LiTH-ISY-I-0641, Linköping University, 1984 ()〕
A trusted party gives each participant a secret key and a public identifier, which enables any two participants to independently create a shared key for communicating. However, if an attacker can compromise the keys of at least k users, he can break the scheme and reconstruct every shared key. Blom's scheme is a form of threshold secret sharing.
Blom's scheme is currently used by the HDCP copy protection scheme to generate shared keys for high-definition content sources and receivers, such as HD DVD players and high-definition televisions.
==The protocol==
The key exchange protocol involves a trusted party (Trent) and a group of \scriptstyle n users. Let Alice and Bob be two users of the group.

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