| Summary: | 碩士 === 國立中山大學 === 資訊工程學系研究所 === 105 === Authentication has been adopted in many areas. But most of these authentication schemes are built on traditional cryptographic primitives. It is widely believed that such primitives are not resistant to quantum algorithms. To deal with those quantum attacks, lattice-based cryptography has been introduced by Ajtai in 1996. To the best of our knowledge, the existing lattice-based authentication schemes are based on a lattice-based public key encryption called NTRU encryption, proposed by Hoffstein, Pipher, and Silverman in 1998. However, the security the existing schemes has not been formally proven, where only some discussions in security were provided. Besides, these schemes only support the case of single user. In view of aforementioned issues, we propose a lattice-based group authentication scheme with formal security proof.
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