论文标题
基于广义卢卡斯矩阵的新型公钥加密
A novel public key cryptography based on generalized Lucas matrices
论文作者
论文摘要
在本文中，我们提出了与广义斐波那契序列有关的广义Lucas矩阵（高阶的递归矩阵），除了通常的矩阵代数外，还建立了许多特殊特性。此外，我们已经提出了使用这些矩阵作为仿射密码中的键和密钥一致的修改公共密钥密码学，以及与残基操作下通用Lucas序列术语的结合。在此方案中，只需要交换一对数字（参数），而不是交换整个密钥矩阵，这降低了钥匙传输的时间复杂性以及空间复杂性，并且具有较大的键空间。
In this article, we have proposed a generalized Lucas matrix (recursive matrix of higher order) having relation with generalized Fibonacci sequences and established many special properties in addition to that usual matrix algebra. Further, we have proposed a modified public key cryptography using these matrices as keys in Affine cipher and key agreement for encryption-decryption with the combination of terms of generalized Lucas sequences under residue operations. In this scheme, instead of exchanging the whole key matrix, only a pair of numbers(parameters) need to be exchanged, which reduces the time complexity as well as space complexity of the key transmission and has a large key-space.
