Abstract

Hill ciphering can be adapted to produce a coherent ciphertext message for any given plaintext message. This is done by finding a matrix Q that will transform using modular arithmetic, for example, ‘cat’ into ‘dog,’ and ‘dog’ back into ‘cat’. The procedure for choosing the elements of Q involves solving sets of linear Diophantine equations. The existence of Q for any (x, y) pair of plaintext/ciphertext messages is guaranteed as long as the conditions for application of Cramer's Rule are satisfied by the Diophantine equations. The interest of Belkoranic Hill Ciphering lies in its innocent-looking coherent ciphertext.

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