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A distributed multi-party key agreement protocol for dynamic collaborative groups using ECC

机译:使用ECC的动态协作组的分布式多方密钥协商协议

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We present a multi-party key agreement protocol based on a novel authenticated two-party elliptic curve Diffie-Hellman (ECDH) key-exchange protocol for dynamic collaborative peer groups. The security of our two-party and multi-party key agreement protocols is based on the computational intractability of the elliptic curve discrete logarithm problem (ECDLP). The strength-per-key-bit is substantially greater in keys generated using ECDH than in keys generated using Diffie-Hellman (DH) key exchange. Thus, with much smaller parameters like the key size, ECDH keys provide equivalent security compared to DH keys. We show that the proposed protocols establish an authenticated, distributed, and contributory group secret key among a group of members. Our multi-party key agreement protocol supports group dynamics like member-join, member-leave, group-fusion, and group-fission securely. Further, it introduces array-based binary key-trees (ABKTs), which are balanced trees that bound the key-computation cost of handling member dynamics to 0 (log it), where it is the number of members in the group. (C) 2006 Elsevier Inc. All rights reserved.
机译:我们为动态协作对等组提供一种基于新颖的经过身份验证的两方椭圆曲线Diffie-Hellman(ECDH)密钥交换协议的多方密钥协商协议。我们的两方和多方密钥协商协议的安全性基于椭圆曲线离散对数问题(ECDLP)的计算难点性。与使用Diffie-Hellman(DH)密钥交换生成的密钥相比,使用ECDH生成的密钥的每个密钥位强度显着更高。因此,与DH密钥相比,ECDH密钥具有更小的参数(如密钥大小),可提供同等的安全性。我们表明,所提出的协议在一组成员之间建立了经过身份验证,分布式和贡献性的组密钥。我们的多方密钥协商协议安全地支持组动态,例如成员加入,成员离开,组融合和组分裂。此外,它引入了基于数组的二进制密钥树(ABKT),它们是平衡的树,将处理成员动态的密钥计算成本限制为0(记录它),这是组中成员的数量。 (C)2006 Elsevier Inc.保留所有权利。

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