Cryptology ePrint Archive: Report 2020/339

Cracking Matrix Modes of Operation with Goodness-of-Fit Statistics

George Teseleanu

Abstract: The Hill cipher is a classical poly-alphabetical cipher based on matrices. Although known plaintext attacks for the Hill cipher have been known for almost a century, feasible ciphertext only attacks have been developed only about ten years ago and for small matrix dimensions. In this paper we extend the ciphertext only attacks for the Hill cipher in two ways. First, we present two attacks for the affine version of the Hill cipher. Secondly, we show that the presented attacks can be extended to several modes of operations. We also provide the reader with several experimental results and show how the message's language can influence the presented attacks.

Category / Keywords: secret-key cryptography / cryptanalysis, Hill cipher, matrix encryption, modes of operation

Original Publication (with major differences): HistoCrypt 2020

Date: received 19 Mar 2020, last revised 20 Mar 2020

Contact author: george teseleanu at yahoo com

Available format(s): PDF | BibTeX Citation

Version: 20200320:153000 (All versions of this report)

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