The objective of the present invention existing BONNET - Fran screen (Boneh-Franklin) scheme It is to propose a way to simplify the creation and use of an asymmetric key to replace. According to the invention, the private key of the public key encryption method, including a private key, which can track formed by a public component and the private component, we propose a j-th private key generation method. Follow up United component k includes all arithmetic operations performed within the multiplicative group Z / qZ. Where Q is a prime number. The public element img file = "112014110503773-pct00036.jpg" he = "9" id = "i0036" img-format = "jpg" wi = "100 "as defined by /, the private element is where r j and j is a random value in the Z / qZ.
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