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The Boneh–Franklin scheme is an identity-based encryption system proposed by Dan Boneh and Matthew K. Franklin in 2001.〔Dan Boneh, Matthew K. Franklin, "Identity-Based Encryption from the Weil Pairing", ''Advances in Cryptology - Proceedings of CRYPTO 2001'' (2001)〕 This article refers to the protocol version called BasicIdent. It is an application of pairings (Weil pairing) over elliptic curves and finite fields. ==Groups and parameters== As the scheme bases upon pairings, all computations are performed in two groups, and : For , let be prime, and consider the elliptic curve over . Note that this curve is not singular as only equals for the case which is excluded by the additional constraint. Let be a prime factor of (which is the order of ) and find a point of order . is the set of points generated by : is the subgroup of order of . We do not need to construct this group explicitly (this is done by the pairing) and thus don't have to find a generator. 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Boneh–Franklin scheme」の詳細全文を読む スポンサード リンク
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