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    • 1. 发明授权
    • Encryption and verification using partial public key
    • 使用部分公钥加密和验证
    • US07664259B2
    • 2010-02-16
    • US11276680
    • 2006-03-09
    • Barbara FrosikRonald BuskeyDouglas Kuhlman
    • Barbara FrosikRonald BuskeyDouglas Kuhlman
    • H04L9/30
    • H04L9/3066H04L9/3247
    • A method and device for using a partial public key in a cryptosystem. The cryptosystem may be based on a group, such as an elliptic curve over a finite field. The device includes a first memory for storing system parameters of the cryptosystem and a second memory for storing a portion of a public key of the cryptosystem. The device receives the complete public key, or the remainder of the public key, via communication with another device. The received portion of the public key is used to form a validated public key. A processor of the device uses the validated public key for encrypting messages and/or verifying signatures. The size of the second memory is reduced since only part of the public key is stored.
    • 一种在密码系统中使用部分公钥的方法和装置。 密码系统可以基于诸如在有限域上的椭圆曲线的组。 该设备包括用于存储密码系统的系统参数的第一存储器和用于存储密码系统的公开密钥的一部分的第二存储器。 设备通过与另一设备的通信来接收完整的公钥或公钥的其余部分。 公钥的接收部分用于形成经过验证的公共密钥。 设备的处理器使用经过验证的公钥来加密消息和/或验证签名。 因为只存储了公钥的一部分,所以减少了第二存储器的大小。
    • 2. 发明申请
    • METHOD FOR ELLIPTIC CURVE PUBLIC KEY CRYPTOGRAPHIC VALIDATION
    • 公式曲线公钥密码校验方法
    • US20070248224A1
    • 2007-10-25
    • US11379815
    • 2006-04-24
    • Ronald BuskeyBarbara FrosikDouglas Kuhlman
    • Ronald BuskeyBarbara FrosikDouglas Kuhlman
    • H04L9/30
    • H04L9/3066H04L9/0838H04L2209/805
    • Communication and validation of information transfer from a transmitter to a receiver is achieved by generating a cipher (400) from a message m (410) using parameters of an elliptic curve, a generator point P (406) on the elliptic curve and a public key Q (416) of the receiver. The cipher includes a first element that is the product kP of a random number k (404) with the generator point P and a second element that is the product of m and the x-coordinate of the product kQ. The message m is generated from two mathematically independent representations of the information and, optionally, a random number. The cipher is communicated to the receiver and decoded to recover a message m′ (502). A validation token (500) is generated by the receiver and passed to the transmitter, which validates communication of the information to the receiver if the product mkQ is equal to the validation token.
    • 通过使用椭圆曲线的参数,椭圆曲线上的生成点P(406)和公共密钥(406)生成来自消息m(410)的密码(400)来实现从发射机到接收机的信息传送的通信和验证 Q(416)。 密码包括第一元素,其是具有发生器点P的随机数k(404)的乘积kP,以及作为乘积的乘积的乘积的第二元素和乘积k的x坐标。 消息m是从信息的两个数学上独立的表示和任选的随机数生成的。 将密码传送到接收器并进行解码以恢复消息m'(502)。 验证令牌(500)由接收器生成并传递给发射机,如果产品mkQ等于验证令牌,则验证令牌(500)将验证信息与接收者的通信。
    • 3. 发明申请
    • ENCRYPTION AND VERIFICATION USING PARTIAL PUBLIC KEY
    • 使用部分公钥的加密和验证
    • US20070211893A1
    • 2007-09-13
    • US11276680
    • 2006-03-09
    • Barbara FrosikRonald BuskeyDouglas Kuhlman
    • Barbara FrosikRonald BuskeyDouglas Kuhlman
    • H04L9/30
    • H04L9/3066H04L9/3247
    • A method and device for using a partial public key in a cryptosystem. The cryptosystem may be based on a group, such as an elliptic curve over a finite field. The device includes a first memory for storing system parameters of the cryptosystem and a second memory for storing a portion of a public key of the cryptosystem. The device receives the complete public key, or the remainder of the public key, via communication with another device. The received portion of the public key is used to form a validated public key. A processor of the device uses the validated public key for encrypting messages and/or verifying signatures. The size of the second memory is reduced since only part of the public key is stored.
    • 一种在密码系统中使用部分公钥的方法和装置。 密码系统可以基于诸如在有限域上的椭圆曲线的组。 该设备包括用于存储密码系统的系统参数的第一存储器和用于存储密码系统的公开密钥的一部分的第二存储器。 设备通过与另一设备的通信来接收完整的公钥或公钥的其余部分。 公钥的接收部分用于形成经过验证的公共密钥。 设备的处理器使用经过验证的公钥来加密消息和/或验证签名。 因为只存储了公钥的一部分,所以减少了第二存储器的大小。