密文明文长度比可变的多变量公钥加密方案

发布时间：2018-04-29 16:11

本文选题：公钥密码体系 + 量子计算　；参考：《重庆大学学报》2017年07期

【摘要】：多变量公钥密码体系是一种能保证后量子通信安全的重要方法。现今,能投入到实际应用、高效且安全的多变量公钥签名方案有很多,加密方案却很少。2013年后量子密码会议上,Tao等人提出了简单矩阵加密方案。该方案在保证安全性的前提下,具有较高的效率,但该方案的密文明文长度比固定为2。针对这一情况,对简单矩阵加密方案进行改进,提出Cubic AB加密方案。在该方案中,矩阵A的各元素由随机二次多项式构成;并选用一个扁长的矩阵来取代原方案中的B、C矩阵。使得该方案在能抵抗秩攻击的同时,密文明文长度比能灵活改变。并且随着安全性的提高,密文明文长度会相应减小,解密过程也随之加快。
[Abstract]:Multivariable public key cryptosystem is an important method to guarantee the security of post-quantum communication. Nowadays, there are many efficient and secure multi-variable public key signature schemes, but few encryption schemes. Tao et al proposed a simple matrix encryption scheme at the quantum cryptography conference since 2013. The scheme has high efficiency on the premise of ensuring security, but its ciphertext length ratio is fixed at 2. 2%. In view of this situation, the simple matrix encryption scheme is improved, and Cubic AB encryption scheme is proposed. In this scheme, each element of matrix A is composed of random quadratic polynomials, and a flat length matrix is chosen to replace the BCC matrix in the original scheme. The scheme can resist rank attack and the length ratio of ciphertext can be changed flexibly. With the improvement of security, the length of ciphertext will be reduced accordingly, and the decryption process will be accelerated.
【作者单位】：重庆大学信息物理社会可信服务计算教育部重点实验室;重庆大学软件学院;
【基金】：国家自然科学基金资助项目(61472054) 中央高校基本科研业务费资助项目(106112014CDJZR095501)~~
【分类号】：O413;TN918.4

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