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International Journal of Scientific and Engineering Research
ISSN Online 2229-5518
ISSN Print: 2229-5518 3    
Website: http://www.ijser.org
scirp IJSER >> Volume 2, Issue 3, March 2011 Edition
Improving diffusion power of AES Rijndael with 8x8 MDS matrix
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Author(s)
R.Elumalai, Dr.A.R.Reddy
KEYWORDS
diffusion, MDS matrix, AES Rijndael, security, encryption standard, R8C, microcontroller
ABSTRACT
AES Rijndael is a block cipher developed by NIST as the Advanced Encryption Standard (AES) replacing DES and published as FIPS 197 in November 2001 [5] to address the threatened key size of Data Encryption Standard (DES). AES-Rijndael was developed by Joan Daemen and Vincent Rijmen, Rijndael [4, 5] and was selected from five finalists. Advancement in computation speed every day puts lots of pressure on AES and AES may not with stand attack for longer time. This work focuses on improving security of an encryption algorithm, beyond AES. Though there are various techniques available to enhance the security, an attempt is made to improve the diffusion strength of an algorithm. For enhancing the diffusion power AES Rijndael in MixColumn operation the branch number of MDS matrix is raised from 5 to 9 using a new 8X8 MDS matrix with trade off of speed [8, 9] and implemented on R8C microcontroller.
References
[1] Daemen and V. Rijmen, AES Proposal: Rijndael (Version 2). NIST AES

[2] NIST, Advanced Encryption Standard (AES), (FIP PUB 197), November 26, 2001

[3] G. Eason, B. Noble, and I. N. Sneddon, “On certain integrals of Lipschitz-Hankel type involving products of Bessel functions,” Phil. Trans. Roy. Soc. London, vol. A247, pp. 529–551, April 1955.

[4] K. Ohkuma, H. Muratani, F. Sano, and S, Kawamura, ""The Block Cipher Hiero-crypt"", Workshop on Selected Areas in Cryptography. SAC 2000, Lecture Notes in Computer Science 2012, Springer-Verlag, pp. 72-88, 2001.

[5] P. Barreto and V. Rijmen, ""The Anubis Block Cipher"", NESSIE Algorithm Submission 2000, available on: www.cosic.esat.kuleuven.ac,be/nessie.

[6] P. Barreto and V. Rijmen, ""The Khazad Legacy-Level Block Cipher"", NESSIE Algorithm Submission, 2000, available on: www.cosic.esat,kuleuven.ac.be/nessie

[7] A. Rudra, P.K. Dubey, C.S. Jutla, V, Kumar, J. R. Rao, and P. Rohatgi, ""Efficient Rijndael Encryption Implementation with Composite Field Arithmetic"", Cryptographic Hardware and Embedded Systems - CHES 2001, Lecture Notes in Computer Science 2162, Springer-Verlag, pp. 171-184, 2001

[8] Lu Xiao and Howard M. Heys “Hardware Design and Analysis of Block Cipher Components”

[9] Aarti Singh “Study of MDS Matrix used in Twofish AES algorithm and its VHDL implementation” M.Tech thesis

[10] Behrouz A.Forouzan “Cryptography and network security “ TATAMcgraw hill publication 2007 edition.

[11] A Specification for Rijndael, the AES Algorithm v3.3, Brian Gladman, May 2002

[12] P. Barreto and V. Rijmen, “The Khazad Legacy-Level Block Cipher”, NESSIE Algorithm Submission, 2000, available on: www.cosic.esat.kuleuven.ac.be/nessie.

[13] R. Anderson, E. Biham, and L. Knudsen, “Serpent: a Proposal for the Advanced Encryption Standard”, AES Algorithm Submission, available on: www.cl.cam.ac.uk/¢rja14/serpent.html

[14] A. Youssef, S. Mister, and S. Tavares, “On the Design of Linear Transformations for Substitution-Permutation Encryption Networks”, Workshop on Selected Areas in Cryptography - SAC '97, Ottawa, 1997.

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