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A Key Exchange Based on the Short Integer Solution Problem and the Learning with Errors Problem

机译:基于短整数解决问题问题的关键交换和错误问题

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Short integer solution (SIS) and learning with errors (LWE) are two hard lattice problems. These two problems are believed having huge potential in application of cryptography. In 2012, Ding et al. [5] introduced the first provably secure key exchange based on LWE problem. On the other hand, we believe that it is very difficult to do key exchange on SIS problem only. In 2014, Wang et al. [6] did an attempt, but it was not successful. Mao et al. [7] broke the protocol by an attack based on CBi-SIS problem in 2016. However, their attack is not efficient. In this paper, we present a extremely straightforward and simple attack to Wang's key exchange and then we will construct a key exchange based on SIS and LWE problems.
机译:短整数解决方案(SIS)和误差(LWE)的学习是两个硬晶格问题。认为这两个问题据信是在密码术的应用中具有巨大潜力。 2012年,丁等人。 [5]介绍了基于LWE问题的第一个可透明的安全密钥交换。另一方面,我们认为只有对SIS问题进行关键交流是非常困难的。 2014年,Wang等人。 [6]尝试了,但它没有成功。毛等。 [7]通过基于CBI-SIS问题的攻击在2016年突破了该协议。然而,他们的攻击是不高效的。在本文中,我们对王的关键交易所提出了一个非常简单和简单的攻击,然后我们将根据SIS和LWE问题构建一个关键交换。

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