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中文摘要：
基于格上困难问题的密码体制成为当前研究的热点。基于R．LWE（ring—learningwitherrors）困难问题和广义压缩背包问题的哈希函数，构造了一种基于格的认证加密方案。方案在加密过程中利用了R．LWE困难问题，其加解密速度快、密文扩展率低等特性；认证过程使用的是广义压缩背包问题，其效率高，安全性能够达到IND—CPA（indistinguishabilityunderchosenplaintextattack）。
英文摘要：
Based on the R-LWE difficult problem and generalized compression knapsack problem hash function, this paper constructed a lattice-based authenticated encryption scheme. The new scheme made use of R-LWE difficult problem in the en- cryption and decryption, and had the good characteristic that the encryption and decryption speed was quick, the expansion ra- tio of the ciphertext was low. The authentication process was realized by using generalized compression knapsack problem, the efficiency, of which was very high, and its security could achieve IND-CPA.
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