How to repair the Hill cipher
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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.
Key wordsHill cipher Image encryption Modified Hill cipher Quality of encryption
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- Barr, T.H., 2002. Invitation to Cryptography. Prentice Hall.Google Scholar
- 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.Google Scholar
- Lerma, M.A., 2005. Modular Arithmetic. Http://www.math.northwestern.edu/:_mlerma/problem_solving/results/modular_arith.pdf.
- Li, S., Zheng, X., 2002. On the Security of an Image Encryption Method. ICIP2002. Http://www.hooklee.com/Papers/ICIP2002.pdf.
- Petersen, K., 2000. Notes on Number Theory and Cryptography. Http://www.math.unc.edu/Faculty/petersen/Coding/cr2.pdf.
- 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. [doi:10.1109/NRSC.2003.1217349]Google Scholar