Orthogonal Matrix in Cryptography
This work addresses encryption for secure communication, but it appears incremental as it applies known matrix properties to cryptography without claiming major breakthroughs.
The authors tackled the problem of encrypting text messages by proposing a method that uses the exponential of orthogonal matrices for encryption and decryption, leveraging their diagonalizability and easy computation of exponentials for diagonal matrices.
In this work is proposed a method using orthogonal matrix transform properties to encrypt and decrypt a message. It will be showed how to use matrix functions to create complex encryptions. Because orthogonal matrix are always diagonalizable on R, and the exponential of a diagonal matrix is easy to compute, the exponential of orthogonal matrix will be used to encrypt text messages.