A Secure Variant of the Hill Cipher

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Executive Summary

The Hill cipher is a classical symmetric encryption algorithm that succumbs to the know-plaintext attack. Although its vulnerability to cryptanalysis has rendered it unusable in practice, it still serves an important pedagogical role in cryptology and linear algebra. In this paper, a variant of the Hill cipher is introduced that makes the Hill cipher secure while it retains the efficiency. The proposed scheme includes a ciphering core for which a cryptographic protocol is introduced. The Hill cipher was invented by L.S. Hill in 1929. It is a famous polygram and a classical symmetric cipher based on matrix transformation but it succumbs to the known-plaintext attack.

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