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CLC number: TP393

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Received: 2006-03-20

Revision Accepted: 2006-08-25

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Cited: 5

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Citations:  Bibtex RefMan EndNote GB/T7714

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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.12 P.2022~2030

http://doi.org/10.1631/jzus.2006.A2022


How to repair the Hill cipher


Author(s):  ISMAIL I.A., AMIN Mohammed, DIAB Hossam

Affiliation(s):  Faculty of Computers and Information, Zagazig University, Zagazig, 44511, Egypt; more

Corresponding email(s):   amr4442@hotmail.com, mamin04@yahoo.com, hossamdiab_86@yahoo.com

Key Words:  Hill cipher, Image encryption, Modified Hill cipher, Quality of encryption


ISMAIL I.A., AMIN Mohammed, DIAB Hossam. How to repair the Hill cipher[J]. Journal of Zhejiang University Science A, 2006, 7(12): 2022~2030.

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Abstract: 
The hill cipher algorithm is one of the symmetric key algorithms that have several advantages in data encryption. However, a main drawback of this algorithm is that it encrypts identical plaintext blocks to identical ciphertext blocks and cannot encrypt images that contain large areas of a single color. Thus, it does not hide all features of the image which reveals patterns in the plaintext. Moreover, it can be easily broken with a known plaintext attack revealing weak security. This paper presents a variant of the hill cipher that overcomes these disadvantages. The proposed technique adjusts the encryption key to form a different key for each block encryption. Visually and computationally, experimental results demonstrate that the proposed variant yields higher security and significantly superior encryption quality compared to the original one.

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Reference

[1] Barr, T.H., 2002. Invitation to Cryptography. Prentice Hall.

[2] Chen, G., Mao, Y., Chui, C.K., 2004. A symmetric image encryption scheme based on 3D chaotic cat maps. Chaos, Soliton & Fractals, 21(3):749-761.

[3] Elkamchouchi, H., Makar, M.A., 2005. Measuring Encryption Quality of Bitmap Images Encrypted with Rijndael and KAMKAR Block Ciphers. Proc. Twenty Second National Radio Science Conference (NRSC 2005), Cairo, Egypt.

[4] Lerma, M.A., 2005. Modular Arithmetic. Http://www.math.northwestern.edu/~mlerma/problem_solving/results/modular_arith.pdf.

[5] Li, S., Zheng, X., 2002. On the Security of an Image Encryption Method. ICIP2002. Http://www.hooklee.com/Papers/ICIP2002.pdf.

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

[7] Petersen, K., 2000. Notes on Number Theory and Cryptography. Http://www.math.unc.edu/Faculty/petersen/Coding/cr2.pdf.

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

[9] Stinson, D.R., 2002. Cryptography Theory and Practice (2nd Ed.). CRC Press, Boca Raton, Florida.

[10] Ziedan, I., Fouad, M., Salem, D.H., 2003. Application of Data Encryption Standard to Bitmap and JPEG Images. Proc. Twentieth National Radio Science Conference (NRSC 2003), Egypt.

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