RAKA: New Authenticated Key Agreement Protocol Based on Ring-LWE
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摘要: 后量子时代,基于格理论的公钥密码被认为是最有前途的抵抗量子计算机攻击的公钥密码体制.然而,相对于格上公钥加密体制和数字签名方案的快速发展,基于格上困难问题的密钥协商协议成果却较少.因此,现阶段如何构建格上安全的密钥协商协议是密码学领域具有挑战性的问题之一.针对上述问题,基于环上带错误学习问题困难假设,采用调和技术构造了一种新的认证密钥协商协议RAKA(authenticated key agreement protocol based on reconciliation technique),该方案采用格上陷门函数技术提供了单向认证功能,并且在Ring-LWE假设下证明是安全的.与现有的基于LWE的密钥协商协议相比,该方案的共享会话密钥减小为2nlogq,效率更高;同时,由于该方案的安全性是基于格上困难问题,因此可以抵抗量子攻击.Abstract: During the post quantum era, public key cryptosystem based on Lattice is considered to be the most promising cryptosystem to resist quantum computer attack. Comparing to the rapid development of public key encryption and digital signature schemes based on Lattice, the key agreement protocols rarely appeared in the research papers. Therefore, how to construct the secure key agreement protocol is one of the most challenging problems. To solve this problem above, a secure key agreement protocol RAKA based on reconciliation technique and ring learning with errors (Ring-LWE) is designed. The proposed scheme is provably secure under the Ring-LWE assumption and can provide authentication by using the Lattice-based trapdoor function. Compared with current key agreement schemes based on LWE, this scheme is more efficient and the shared key size is reduced to 2nlogq. Moreover, this scheme can resist quantum attack because of the hard assumption on Lattice.
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