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:
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:
During generation of an implicit certificate for a requestor, a certificate authority incorporates information in the public-key reconstruction data, where the public-key reconstruction data is to be used to compute the public key of the requestor. The information may be related to one or more of the requestor, the certificate authority, and the implicit certificate. The certificate authority reversibly encodes the public-key reconstruction data in the implicit certificate and sends it to the requestor. After receiving the implicit certificate from the certificate authority, the requestor can extract the incorporated information from the public-key reconstruction data. The implicit certificate can be made available to a recipient, and the recipient can also extract the incorporated information.
摘要:
During generation of a signature on a message to create a signed message, a signer determines one of the signature components such that particular information can be extracted from the signature component. The particular information may be related to one or more of the signer and the message to be signed. After receiving a signed message purported to be signed by the signer, a verifier can extract the particular information from the signature component.
摘要:
During generation of an implicit certificate for a requestor, a certificate authority incorporates information in the public-key reconstruction data, where the public-key reconstruction data is to be used to compute the public key of the requestor. The information may be related to one or more of the requestor, the certificate authority, and the implicit certificate. The certificate authority reversibly encodes the public-key reconstruction data in the implicit certificate and sends it to the requestor. After receiving the implicit certificate from the certificate authority, the requestor can extract the incorporated information from the public-key reconstruction data. The implicit certificate can be made available to a recipient, and the recipient can also extract the incorporated information.
摘要:
During generation of a signature on a message to create a signed message, a signer determines one of the signature components such that particular information can be extracted from the signature component. The particular information may be related to one or more of the signer and the message to be signed. After receiving a signed message purported to be signed by the signer, a verifier can extract the particular information from the signature component.
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.