Abstract
Hybrid cubes are generated from a combination and permutation of integers as shown in Latin squares and orthogonal Latin squares. In this paper we extend our earlier non binary block cipher using all possible combination of hybrid cubes layers as the source for the encryption and decryption keys. The overall security of the cipher is improved with the inclusion of substitution box (SBOX) and diffusion functions. The experimental results indicate that the proposed generator matrices from hybrid cubes layers are suitable as candidate for a key schedule algorithm. Large key space will make brute force attack on the key space difficult and time consuming.
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References
Wrixon, F.B.: Codes, Ciphers, Secrets and Cryptic Communications. Black Dog and Leventhal Publisher Inc. (1998)
Menenzes, A.J., Oorschot, P.C.V., Vanstone, S.A.: Handbook of Applied Cryptography. CRC Press, Boca Raton (1996)
Daemen, J., Rijmen, V.: The Design of Rijndael: AES – The Advanced Encryption Standard. Springer, Heidelberg (2002)
Schneier, B., Kelsey, J., Whiting, D., Wagner, D., Hall, C., Ferguson, N.: The Twofish Encryption Algorithm. John Wiley and Sons, New York (1999)
Massey, J.L.: On the Optimality of SAFER+ Diffusion, Cylink Corporation, Sunnyvale, California, USA (1999)
Granboulan, L., Levieil, É., Piret, G.: Pseudorandom permutation families over abelian groups. In: Robshaw, M.J.B. (ed.) FSE 2006. LNCS, vol. 4047, pp. 57–77. Springer, Heidelberg (2006)
Baignères, T., Stern, J., Vaudenay, S.: Linear Cryptanalysis of Non Binary Ciphers with an Application to SAFER. In: Adams, C., Miri, A., Wiener, M. (eds.) SAC 2007. LNCS, vol. 4876, pp. 184–211. Springer, Heidelberg (2007)
Sastry, V.U.K., Mrrthy, D.S.R., Bhavani, S.D.: A Large Block Cipher Involving a Key Applied on Both the Sides fo the Plain Text. International Journal of Computer and Network Security (IJCNS) 2(2) (2010)
National Institute of Standards (NIST). FIPS Pub. 197: Advanced Encryption Standard, AES (2001), http://csrc.nist.gov/
Jamel, S., Herawan, T., Mat Deris, M.: A Cryptographic Algorithm Based on Hybrid Cubes. In: Taniar, D., Gervasi, O., Murgante, B., Pardede, E., Apduhan, B.O. (eds.) ICCSA 2010. LNCS, vol. 6019, pp. 175–187. Springer, Heidelberg (2010)
Suzuki, M.: Magic Squares (2001), http://mathforum.org/te/exchange/hosted/suzuki/MagicSquare.html (retrieved from September 9, 2010)
Trenkler, M.: A Construction of Magic Cubes. The Mathematical Gazeete, 36–41 (2000)
Trenkler, M.: Magic Cubes. The Mathematical Gazeete 82, 56–61 (1998)
Andrews, W.S.: Magic Squares and Cubes. Cosimo Inc., New York (2004)
Trenkler, M.: An Algorithm for making Magic Cubes. The ∏ME Journal 12(2), 105–106 (2005)
Arkin, J., Straus, E.G.: Latin k-Cubes. The Official Journal of The Fibonacci Association 12(3) (1974)
Newton, P.K., Desalvo, S.A.: The Shannon Entropy of Sudoku matrices. In: Proceedings of the Royal Society A. First Cite e-publishing (2010)
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Jamel, S., Deris, M.M., Yanto, I.T.R., Herawan, T. (2011). The Hybrid Cubes Encryption Algorithm (HiSea). In: Al-Majeed, S.S., Hu, CL., Nagamalai, D. (eds) Advances in Wireless, Mobile Networks and Applications. ICCSEA WiMoA 2011 2011. Communications in Computer and Information Science, vol 154. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21153-9_18
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DOI: https://doi.org/10.1007/978-3-642-21153-9_18
Publisher Name: Springer, Berlin, Heidelberg
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