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    • 4. 发明申请
    • HIERARCHICAL GROUP KEY MANAGEMENT APPROACH BASED ON LINEAR GEOMETRY
    • 基于线性几何的分层组关键管理方法
    • US20130058479A1
    • 2013-03-07
    • US13386362
    • 2010-05-27
    • Shaohua TangYujun LiangJintai Ding
    • Shaohua TangYujun LiangJintai Ding
    • H04L9/00
    • H04L9/0836
    • A hierarchical group key management approach based on linear geometry is disclosed. The approach includes the following steps: step 1, the central controller selects a finite field F, a mapping parameter f and a constant N for use in the group; the central controller selects a N-dimensional private vector for each subgroup; step 2, the central controller selects a mapping parameter r and maps the private vector to a new set of vectors in the vector space; step 3, the central controller selects a subgroup key for each subgroup and constructs n linear systems of equations, and solves the solution of the linear equation systems, that is, the public vector, and the n sets of public vectors form a public vector; the public vector and the mapping parameter r are broadcasted or multicasted by the central controller to all the subgroup controllers; step 4, each subgroup controller solves the confidential vector of its own, and a set of key vectors is obtained by linear transformation of the confidential vector and the public matrix. This invention is simple and flexible, and is effective against brute-force attacks.
    • 公开了一种基于线性几何的分层组密钥管理方法。 该方法包括以下步骤:步骤1,中央控制器选择有限域F,映射参数f和常数N用于组中; 中央控制器为每个子组选择一个N维私人向量; 步骤2,中央控制器选择映射参数r,并将私有向量映射到向量空间中的一组新的向量; 步骤3,中央控制器为每个子组选择一个子组密钥,并构造n个线性方程组,并求解线性方程组解的解,即公共向量,n组公共向量形成一个公共向量; 公共向量和映射参数r由中央控制器广播或组播到所有子组控制器; 步骤4,每个子组控制器解决其自身的机密向量,通过机密向量和公共矩阵的线性变换获得一组关键向量。 本发明简单灵活,有效打击暴力攻击。
    • 5. 发明申请
    • GROUP KEY MANAGEMENT APPROACH BASED ON LINEAR GEOMETRY
    • 基于线性几何的组密钥管理方法
    • US20120263303A1
    • 2012-10-18
    • US13055380
    • 2009-12-24
    • Shaohua TangJintai DingGuangdong YangYujun Liang
    • Shaohua TangJintai DingGuangdong YangYujun Liang
    • H04L9/08
    • H04L9/0833H04L2209/08
    • A group key management approach based on linear geometry is disclosed. The approach includes the following steps: step 1: a group controller selects a mapping f and a finite field F; each group member selects a m-dimensional private vector over the finite field F, and sends it to the group controller via secure channel; step 2: the group controller selects a mapping parameter in the finite field F randomly, and maps the private vectors of all the group members into a new set of vectors by using the mapping f according to the mapping parameter; step 3: the group controller selects a random number k in the finite field F as a group key, and constructs a system of linear equations by using the new set of vectors and the group key; the group controller computes the central vector, and sends the central vector and the mapping parameter to all the group members via open channel; step 4: after the group members receive the central vector and the mapping parameter, the private vector of each group member is mapped to a new vector in a vector space according to the mapping parameter, and the group key is obtained by calculating the inner product of the new vector and the central vector. This invention requires small memory and little computation, has high security property, and is effective against brute-force attacks.
    • 公开了一种基于线性几何的组密钥管理方法。 该方法包括以下步骤:步骤1:组控制器选择映射f和有限域F; 每个组成员在有限域F上选择m维私人向量,并通过安全信道将其发送到组控制器; 步骤2:组控制器随机选择有限域F中的映射参数,并根据映射参数通过映射f将所有组成员的私有向量映射到新的向量集合; 步骤3:组控制器选择有限域F中的随机数k作为组密钥,并通过使用新的向量集合和组密钥构建线性方程组; 组控制器计算中心向量,并通过开放信道将中心向量和映射参数发送给所有组成员; 步骤4:组成员接收到中心向量和映射参数后,根据映射参数将每个组成员的私有向量映射到向量空间中的新向量,并通过计算内部产物获得组密钥 的新向量和中心向量。 本发明需要小的记忆和少量的计算,具有很高的安全性能,并且有效抵抗暴力攻击。
    • 6. 发明授权
    • Method to produce new multivariate public key cryptosystems
    • 生成新的多变量公钥密码系统的方法
    • US07961876B2
    • 2011-06-14
    • US11323597
    • 2005-12-30
    • Jintai Ding
    • Jintai Ding
    • H04K1/00H04L9/00H04L9/30
    • H04L9/3093H04L2209/08
    • Multivariate public key cryptosystems (MPKC) are public key cryptosystems, whose public key are a set of multivariate polynomials over a finite field (or ring). MPKC can be used for encryption, authentication and signatures. The invention develops three new methods that could be applied to a multivariate public key cryptosystem to produce new multivariate public key cryptosystems that are better in terms of security and efficiency. These three methods are called the internal perturbation plus (IPP), the enhanced internal perturbation (EIP) and the multi-layer Oil-Vinegar construction (MOVC). These three methods can be combined in any 2 or all 3 to be applied to a multivariate public key cryptosystem to produce new multivariate public key cryptosystems as well.
    • 多变量公钥密码系统(MPKC)是公钥密码系统,其公钥是有限域(或环)上的一组多元多项式。 MPKC可用于加密,认证和签名。 本发明开发了三种可以应用于多变量公钥密码系统的新方法,以产生在安全性和效率方面更好的新型多变量公钥密码系统。 这三种方法称为内部扰动加(IPP),增强型内部扰动(EIP)和多层油醋结构(MOVC)。 这三种方法可以在任何2或全部3中组合,以应用于多变量公钥密码系统,以产生新的多变量公钥密码系统。
    • 9. 发明授权
    • Group key management approach based on linear geometry
    • 基于线性几何的组密钥管理方法
    • US08848921B2
    • 2014-09-30
    • US13055380
    • 2009-12-24
    • Shaohua TangJintai DingGuangdong YangYujun Liang
    • Shaohua TangJintai DingGuangdong YangYujun Liang
    • H04L29/06G06F21/00H04L9/08
    • H04L9/0833H04L2209/08
    • A group key management approach based on linear geometry is disclosed. The approach includes the following steps: step 1: a group controller selects a mapping f and a finite field F; each group member selects a m-dimensional private vector over the finite field F, and sends it to the group controller via secure channel; step 2: the group controller selects a mapping parameter in the finite field F randomly, and maps the private vectors of all the group members into a new set of vectors by using the mapping f according to the mapping parameter; step 3: the group controller selects a random number k in the finite field F as a group key, and constructs a system of linear equations by using the new set of vectors and the group key; the group controller computes the central vector, and sends the central vector and the mapping parameter to all the group members via open channel; step 4: after the group members receive the central vector and the mapping parameter, the private vector of each group member is mapped to a new vector in a vector space according to the mapping parameter, and the group key is obtained by calculating the inner product of the new vector and the central vector. This invention requires small memory and little computation, has high security property, and is effective against brute-force attacks.
    • 公开了一种基于线性几何的组密钥管理方法。 该方法包括以下步骤:步骤1:组控制器选择映射f和有限域F; 每个组成员在有限域F上选择m维私人向量,并通过安全信道将其发送到组控制器; 步骤2:组控制器随机选择有限域F中的映射参数,并根据映射参数通过映射f将所有组成员的私有向量映射到新的向量集合; 步骤3:组控制器选择有限域F中的随机数k作为组密钥,并通过使用新的向量集合和组密钥构建线性方程组; 组控制器计算中心向量,并通过开放信道将中心向量和映射参数发送给所有组成员; 步骤4:组成员接收到中心向量和映射参数后,根据映射参数将每个组成员的私有向量映射到向量空间中的新向量,并通过计算内部产物获得组密钥 的新向量和中心向量。 本发明需要小的记忆和少量的计算,具有很高的安全性能,并且有效抵抗暴力攻击。
    • 10. 发明申请
    • Method to produce new multivariate public key cryptosystems
    • 生成新的多变量公钥密码系统的方法
    • US20080013716A1
    • 2008-01-17
    • US11323597
    • 2005-12-30
    • Jintai Ding
    • Jintai Ding
    • H04L9/30
    • H04L9/3093H04L2209/08
    • Multivariate public key cryptosystems (MPKC) are public key cryptosystems, whose public key are a set of multivariate polynomials over a finite field (or ring). MPKC can be used for encryption, authentication and signatures. The invention develops three new methods that could be applied to a multivariate public key cryptosystem to produce new multivariate public key cryptosystems that are better in terms of security and efficiency. These three methods are called the internal perturbation plus (IPP), the enhanced internal perturbation (EIP) and the multi-layer Oil-Vinegar construction (MOVC). These three methods can be combined in any 2 or all 3 to be applied to a multivariate public key cryptosystem to produce new multivariate public key cryptosystems as well.
    • 多变量公钥密码系统(MPKC)是公钥密码系统,其公钥是有限域(或环)上的一组多元多项式。 MPKC可用于加密,认证和签名。 本发明开发了三种可以应用于多变量公钥密码系统的新方法,以产生在安全性和效率方面更好的新型多变量公钥密码系统。 这三种方法称为内部扰动加(IPP),增强型内部扰动(EIP)和多层油醋结构(MOVC)。 这三种方法可以在任何2或全部3中组合,以应用于多变量公钥密码系统,以产生新的多变量公钥密码系统。