摘要:
A method of securely communicating a message for a financial transaction from a first correspondent to one or more recipients. The method comprises dividing the message into at least two portions. Each portion is intended for a recipient. Each portion intended for receipt by one of the recipients is encrypted with that recipient's public key. The message is signed and transmitted to one of the recipients to enable the recipient to verify the message and further transmit the message to a further recipient.
摘要:
A system, device and method for authenticating a user. The system, device and method may employ a computing device for providing credentials required for access to an on-line resource available over a network. The computing device may connect to the on-line resource to register a user. The computing device may receive from the on-line resource at least one request for a credential to identify the user. In response to the request, the computing device may generate a random credential, store the random credential in association with an on-line resource identifier and the request in a data store accessible to the computing device and, submit the random credential to the on-line resource to register the user.
摘要:
A system, device and method for authenticating a user. The system, device and method may employ a computing device for providing credentials required for access to an on-line resource available over a network. The computing device may connect to the on-line resource to register a user. The computing device may receive from the on-line resource at least one request for a credential to identify the user. In response to the request, the computing device may generate a random credential, store the random credential in association with an on-line resource identifier and the request in a data store accessible to the computing device and, submit the random credential to the on-line resource to register the user.
摘要:
A potential bias in the generation of a private key is avoided by selecting the key and comparing it against the system parameters. If a predetermined condition is attained it is accepted. If not it is rejected and a new key is generated.
摘要:
The present invention provides a new trapdoor one-way function. In a general sense, some quadratic algebraic integer z is used. One then finds a curve E and a rational map defining [z] on E. The rational map [z] is the trapdoor one-way function. A judicious selection of z will ensure that [z] can be efficiently computed, that it is difficult to invert, that determination of [z] from the rational functions defined by [z] is difficult, and knowledge of z allows one to invert [z] on a certain set of elliptic curve points. Every rational map is a composition of a translation and an endomorphism. The most secure part of the rational map is the endomorphism as the translation is easy to invert. If the problem of inverting the endomorphism and thus [z] is as hard as the discrete logarithm problem in E, then the size of the cryptographic group can be smaller than the group used for RSA trapdoor one-way functions.
摘要:
A method of performing a cryptographic operation on a point in an elliptic curve cryptosystem using an elliptic curve. The method comprises the steps of obtaining information that uniquely identifies the elliptic curve and performing computations on the point to obtain the result of the cryptographic operation. The computations use the information. The computations produce an incorrect result if the point is not on the elliptic curve.
摘要:
A potential bias in the generation of a private key is avoided by selecting the key and comparing it against the system parameters. If a predetermined condition is attained it is accepted. If not it is rejected and a new key is generated.
摘要:
A system and method are provided for using a mobile device to authenticate access to a private network. The mobile device may operate to receive a challenge from an authentication server, the challenge having being generated according to a request to access a private network; obtain a private value; use the private value, the challenge, and a private key to generate a response to the challenge; and send the response to the authentication server. An authentication server may operate to generate a challenge; send the challenge to a mobile device; receive a response from the mobile device, the response having been generated by the mobile device using a private value, the challenge, and a private key; verify the response; and confirm verification of the response with a VPN gateway to permit a computing device to access a private network.
摘要:
A wireless communication system includes a pager or similar device that communicates to a home terminal. The home terminal confirms the identity of the pager and attaches a certificate to the message for ongoing transmission. Where the recipient is also a pager, an associated home terminal verifies the transmission and forwards it in a trusted manner without the certificate to the recipient.
摘要:
A key establishment protocol between a pair of correspondents includes the generation by each correspondent of respective signatures. The signatures are derived from information that is private to the correspondent and information that is public. After exchange of signatures, the integrity of exchange messages can be verified by extracting the public information contained in the signature and comparing it with information used to generate the signature. A common session key may then be generated from the public and private information of respective ones of the correspondents.