JZUS - Journal of Zhejiang University SCIENCE

Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.2 P.211-214

Comments on “How to repair the Hill cipher”

Author(s): Y. RANGEL-ROMERO, R. VEGA-GARCÍ,A, A. MENCHACA-MÉ,NDEZ, D. ACOLTZI-CERVANTES, L. MARTÍ,NEZ-RAMOS, M. MECATE-ZAMBRANO, F. MONTALVO-LEZAMA, J. BARRÓ,N-VIDALES, N. CORTEZ-DUARTE, F. RODRÍ,GUEZ-HENRÍ,QUEZ
Affiliation(s): Computer Science Department, CINVESTAV-IPN, Av.IPN No. 2508 Col. San Pedro Zacatenco, Mexico City 07300, Mexico
Corresponding email(s): francisco@cs.cinvestav.mx
Key Words: Hill cipher, Symmetric encryption, Image encryption

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Y. RANGEL-ROMERO, R. VEGA-GARCÍA, A. MENCHACA-MÉNDEZ, D. ACOLTZI-CERVANTES, L. MARTÍNEZ-RAMOS, M. MECATE-ZAMBRANO, F. MONTALVO-LEZAMA, J. BARRÓN-VIDALES, N. CORTEZ-DUARTE, F. RODRÍGUEZ-HENRÍQUEZ. Comments on “How to repair the Hill cipher”[J]. Journal of Zhejiang University Science A, 2008, 9(2): 211-214.

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author="Y. RANGEL-ROMERO, R. VEGA-GARCÍA, A. MENCHACA-MÉNDEZ, D. ACOLTZI-CERVANTES, L. MARTÍNEZ-RAMOS, M. MECATE-ZAMBRANO, F. MONTALVO-LEZAMA, J. BARRÓN-VIDALES, N. CORTEZ-DUARTE, F. RODRÍGUEZ-HENRÍQUEZ",
journal="Journal of Zhejiang University Science A",
volume="9",
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pages="211-214",
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publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A072143"
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Abstract
Chinese Summary
Academic Network
Reviewer Comment

Abstract: A modification of the hill cipher algorithm was recently proposed by Ismail et al.(2006), who claimed that their new scheme could offer more security than the original one due to an extra non-linearity layer introduced via an elaborated key generation mechanism. That mechanism produces one different encryption key for each one of the plaintext blocks. Nevertheless, we show in this paper that their method still has severe security flaws whose weaknesses are essentially the same as that already found in the original hill cipher scheme.

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Reference

[1] Hill, L.S., 1929. Cryptography in an algebraic alphabet. The American Mathematical Monthly, 36:306-312.

[2] Hill, L.S., 1931. Concerning certain linear transformation apparatus of cryptography. The American Mathematical Monthly, 38:135-154.

[3] Ismail, I.A., Amin, M., Diab, H., 2006. How to repair the Hill cipher. J. Zhejiang Univ. Sci. A, 7(12):2022-2030.

[4] Overbey, J., Traves, W., Wojdylo, J., 2005. On the keyspace of the Hill cipher. Cryptologia, 29(1):59-72.

[5] Saeednia, S., 2000. How to make the Hill cipher secure? Cryptologia, 24(4):353-360.

[6] Trappe, W., Washington, L.C., 2006. Introduction to Crypto-graphy with Coding Theory (2nd Ed.). Prentice Hall.

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