有限域上加权正交矩阵的构造及其在密码学中的应用
On Construction of weighted orthogonal matrices over finite field and its application in cryptography
摘要：
本文给出了有限域上自正交矩阵、正交矩阵和反正交矩阵的一种构造方法。正交矩阵在密码学中有着广泛的应用，本文主要讨论加权正交矩阵在密码学中的应用。利用该构造方法可以很容易地传输私钥，并且可以很容易地将加密消息转换为原始消息，同时也使入侵者很难得到密钥矩阵。
英文摘要：
In this article, we propose a method to construct self orthogonal matrix, orthogonal matrix and anti orthogonal matrix over the finite field. Orthogonal matrices has numerous applications in cryptography, so here we demonstrate the application of weighted orthogonal matrix into cryptography. Using the proposed method of construction we see that it is very easy to transmit the private key and can easily convert the encrypted message into original message and at the same time it will be difficult to get the key matrix for intruder.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
