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1. 发明申请

US20090290705A1 Algorithms for generating parameters for genus 2 hyperelliptic curve cryptography 有权
标题翻译：用于生成第2类超椭圆曲线密码学参数的算法
公开(公告)号：US20090290705A1
公开(公告)日：2009-11-26
申请号：US12125834
申请日：2008-05-22
申请人： Kristin E. Lauter , Ning Shang
发明人： Kristin E. Lauter , Ning Shang
IPC分类号： H04L9/06
CPC分类号： G06F7/725
摘要： An exemplary method includes defining a CM field, representing coefficients of a Frobenius element of a hyperelliptic curve over a prime field as non-linear polynomials that are functions of an integer x and selecting a value for x whereby the product of the Frobenius element and its complex conjugate is a prime number. Such a method may further include determining the order of the Jacobian of the hyperelliptic curve, for example, where the order is an almost prime number. Various other methods, devices, systems, etc., are also disclosed, which may be optionally used for cryptography.
摘要翻译：示例性方法包括定义CM场，其表示在主场上的超椭圆曲线的Frobenius元素的系数作为作为整数x的函数的非线性多项式，并且选择x的值，由此产生Frobenius元素及其复共轭是素数。这种方法还可以包括确定超椭圆曲线的雅可比的顺序，例如，其中顺序是几乎素数。还公开了各种其他方法，设备，系统等，其可以可选地用于密码学。

2. 发明授权

US08520841B2 Algorithms for generating parameters for genus 2 hyperelliptic curve cryptography 有权
公开(公告)号：US08520841B2
公开(公告)日：2013-08-27
申请号：US12125834
申请日：2008-05-22
申请人： Kristin E. Lauter , Ning Shang
发明人： Kristin E. Lauter , Ning Shang
IPC分类号： H04L9/06
CPC分类号： G06F7/725
摘要： An exemplary method includes defining a CM field, representing coefficients of a Frobenius element of a hyperelliptic curve over a prime field as non-linear polynomials that are functions of an integer x and selecting a value for x whereby the product of the Frobenius element and its complex conjugate is a prime number. Such a method may further include determining the order of the Jacobian of the hyperelliptic curve, for example, where the order is an almost prime number. Various other methods, devices, systems, etc., are also disclosed, which may be optionally used for cryptography.

3. 发明申请

US20140068778A1 SECURING DATABASES AGAINST PIRACY ATTACKS 有权
标题翻译：安全数据库反盗版攻击
公开(公告)号：US20140068778A1
公开(公告)日：2014-03-06
申请号：US13605805
申请日：2012-09-06
申请人： Ashok Bhatia , Ning Shang , Yafei Yang
发明人： Ashok Bhatia , Ning Shang , Yafei Yang
IPC分类号： G06F21/00
CPC分类号： H04L63/107 , H04W4/02
摘要： A database for location or geographic based services is secured by requiring location based requests to include a unique identifier that identifies the location as well as an authorization identifier associated with the location. The authorization identifier is information that is obtained by being physically present at the location, such as information from access points that are at the location or a position fix when present at the location. The authorization identifier may be non-unique but relatively time-invariant, making such information easily crowdsourced, but difficult to obtain unless physically present at the location. For example, the authorization identifier may be an SSID or a Beacon Frame, or a hash thereof from one or more devices at the location or a position fix.
摘要翻译：通过要求基于位置的请求来包括标识位置的唯一标识符以及与该位置相关联的授权标识符来保护用于位置或基于地理的服务的数据库。授权标识符是通过物理存在于该位置获得的信息，例如来自存在于该位置的接入点的信息或位于该位置时的位置修正。授权标识符可以是非唯一的但相对时不变的，使得这些信息容易地包围，但是难以获得，除非在该位置处实际存在。例如，授权标识符可以是来自位置处的一个或多个设备的SSID或信标帧或其散列，或位置锁定。

4. 发明申请

US20130031373A1 Product authentication based upon a hyperelliptic curve equation and a curve pairing function 有权
标题翻译：基于超椭圆曲线方程和曲线配对函数的产品认证
公开(公告)号：US20130031373A1
公开(公告)日：2013-01-31
申请号：US13193575
申请日：2011-07-28
申请人： Ning Shang
发明人： Ning Shang
IPC分类号： G06F21/00
CPC分类号： G06F21/10 , G06F21/125 , H04L9/3066
摘要： Disclosed is a method, system, and device to authenticate a product. A plurality of public parameters and a secret master key are selected. The public parameters include a hyperelliptic curve equation and a curve pairing function. A public product activation code and a private product activation code are generated based upon the public parameters and the secret master key. The public parameters and the public product activation code are stored with the product. Further, the private product activation code is associated with the product. The product is authenticated if the private product activation code entered to a client device satisfies a mathematical formula implemented with the public parameters and the public product activation code.
摘要翻译：公开了一种用于认证产品的方法，系统和设备。选择多个公共参数和秘密主密钥。公共参数包括超椭圆曲线方程和曲线配对函数。基于公共参数和秘密主密钥生成公共产品激活码和私有产品激活码。公共参数和公共产品激活码与产品一起存储。此外，私人产品激活码与产品相关联。如果输入到客户端设备的私人产品激活码满足使用公共参数和公共产品激活码实现的数学公式，则该产品被认证。

5. 发明授权

US08769301B2 Product authentication based upon a hyperelliptic curve equation and a curve pairing function 有权
标题翻译：基于超椭圆曲线方程和曲线配对函数的产品认证
公开(公告)号：US08769301B2
公开(公告)日：2014-07-01
申请号：US13193575
申请日：2011-07-28
申请人： Ning Shang
发明人： Ning Shang
IPC分类号： G06F11/30 , G06F7/04 , G06F21/10
CPC分类号： G06F21/10 , G06F21/125 , H04L9/3066
摘要： Disclosed is a method, system, and device to authenticate a product. A plurality of public parameters and a secret master key are selected. The public parameters include a hyperelliptic curve equation and a curve pairing function. A public product activation code and a private product activation code are generated based upon the public parameters and the secret master key. The public parameters and the public product activation code are stored with the product. Further, the private product activation code is associated with the product. The product is authenticated if the private product activation code entered to a client device satisfies a mathematical formula implemented with the public parameters and the public product activation code.
摘要翻译：公开了一种用于认证产品的方法，系统和设备。选择多个公共参数和秘密主密钥。公共参数包括超椭圆曲线方程和曲线配对函数。基于公共参数和秘密主密钥生成公共产品激活码和私有产品激活码。公共参数和公共产品激活码与产品一起存储。此外，私人产品激活码与产品相关联。如果输入到客户端设备的私人产品激活码满足使用公共参数和公共产品激活码实现的数学公式，则该产品被认证。

6. 发明授权

US09584528B2 Securing databases against piracy attacks 有权
标题翻译：保护数据库免遭盗版攻击
公开(公告)号：US09584528B2
公开(公告)日：2017-02-28
申请号：US13605805
申请日：2012-09-06
申请人： Ashok Bhatia , Ning Shang , Yafei Yang
发明人： Ashok Bhatia , Ning Shang , Yafei Yang
IPC分类号： H04L29/06 , H04W4/02
CPC分类号： H04L63/107 , H04W4/02
摘要： A database for location or geographic based services is secured by requiring location based requests to include a unique identifier that identifies the location as well as an authorization identifier associated with the location. The authorization identifier is information that is obtained by being physically present at the location, such as information from access points that are at the location or a position fix when present at the location. The authorization identifier may be non-unique but relatively time-invariant, making such information easily crowdsourced, but difficult to obtain unless physically present at the location. For example, the authorization identifier may be an SSID or a Beacon Frame, or a hash thereof from one or more devices at the location or a position fix.
摘要翻译：通过要求基于位置的请求来包括标识位置的唯一标识符以及与该位置相关联的授权标识符来保护用于位置或基于地理的服务的数据库。授权标识符是通过物理存在于该位置获得的信息，例如来自存在于该位置的接入点的信息或位于该位置时的位置修正。授权标识符可以是非唯一的但相对时不变的，使得这些信息容易地包围，但是难以获得，除非在该位置处实际存在。例如，授权标识符可以是来自位置处的一个或多个设备的SSID或信标帧或其散列，或位置锁定。

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