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Mathematical Problems in Engineering
Volume 2008, Article ID 132674, 18 pages
http://dx.doi.org/10.1155/2008/132674
Research Article

A Simple Cocyclic Jacket Matrices

1Institute of Information & Communication, Chonbuk National University, Jeonju 561-756, South Korea
2The Center for Advanced Computer Studies, University of Louisiana at Lafayette, LA 70504, USA

Received 22 October 2007; Revised 12 May 2008; Accepted 17 July 2008

Academic Editor: Angelo Luongo

Copyright © 2008 Moon Ho Lee et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. N. Ahmed and K. R. Rao, Orthogonal Transforms for Digital Signal Processing, Springer, Berlin, Germany, 1975. View at Zentralblatt MATH
  2. J. Seberry and M. Yamada, “Hadamard matrices, sequences, and block designs,” in Contemporary Design Theory: A Collection of Surveys, Wiley-Interscience Series in Discrete Mathematics and Optimization, chapter 11, pp. 431–560, John Wiley & Sons, New York, NY, USA, 1992. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. S. S. Agaian, Hadamard Matrices and Their Applications, vol. 1168 of Lecture Notes in Mathematics, Springer, Berlin, Germany, 1985. View at Zentralblatt MATH · View at MathSciNet
  4. A. J. Viterbi, CDMA: Principles of Spread Spectrum Communication, Addison-Wesley, Reading, Mass, USA, 1995. View at Zentralblatt MATH
  5. A. V. Geramita and J. Seberry, Orthogonal Designs: Quadratic Forms and Hadamard Matrices, vol. 45 of Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, New York, NY, USA, 1979. View at Zentralblatt MATH · View at MathSciNet
  6. M. H. Lee, Jacket Matrices, Youngil, Korea, 2006.
  7. J. Hou, M. H. Lee, D. C. Park, and K. J. Lee, “Simple element inverse DCT/DFT hybrid architecture algorithm,” in Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP '06), vol. 3, pp. 888–891, Toulouse, France, May 2006. View at Publisher · View at Google Scholar
  8. P. Udaya, “Cocyclic generalized Hadamard matrices over GF(pn) and their related codes,” in Proceedings of the 13th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC-13), pp. 35–36, Honolulu, Hawaii, USA, November 1999.
  9. J. Hou and M. H. Lee, “Cocyclic Jacket matrices and its application to cryptography systems,” in Proceedings of the International Conference on Information Networking (ICOIN '05), vol. 3391 of Lecture Notes in Computer Science, pp. 662–668, Jeju Island, Korea, January-February 2005.
  10. G. L. Feng and M. H. Lee, “An explicit construction of co-cyclic Jacket matrices with any size,” in Proceedings of the 5th Shanghai Conference in Combinatorics, Shanghai, China, May 2005.
  11. K. J. Horadam and P. Udaya, “Cocyclic Hadamard codes,” IEEE Transactions on Information Theory, vol. 46, no. 4, pp. 1545–1550, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  12. K. Finlayson, M. H. Lee, J. Seberry, and M. Yamada, “Jacket matrices constructed from Hadamard matrices and generalized Hadamard matrices,” The Australasian Journal of Combinatorics, vol. 35, pp. 83–87, 2006. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. M. H. Lee and J. Hou, “Fast block inverse jacket transform,” IEEE Signal Processing Letters, vol. 13, no. 8, pp. 461–464, 2006. View at Publisher · View at Google Scholar
  14. M. H. Lee, “The center weighted Hadamard transform,” IEEE Transactions on Circuits and Systems, vol. 36, no. 9, pp. 1247–1249, 1989. View at Publisher · View at Google Scholar
  15. M. H. Lee, “A new reverse jacket transform and its fast algorithm,” IEEE Transactions on Circuits and Systems II, vol. 47, no. 1, pp. 39–47, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  16. M. H. Lee, B. Sundar Rajan, and J. Y. Park, “A generalized reverse jacket transform,” IEEE Transactions on Circuits and Systems II, vol. 48, no. 7, pp. 684–690, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  17. G. Zeng and M. H. Lee, “Fast block jacket transform based on Pauli matrices,” in Proceedings of the IEEE International Conference on Communications (ICC '07), pp. 2687–2692, Glasgow, UK, June 2007. View at Publisher · View at Google Scholar
  18. P. Diţă, “Factorization of unitary matrices,” Journal of Physics A, vol. 36, no. 11, pp. 2781–2789, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  19. J. Hou and M. H. Lee, “On cocyclic jacket matrices,” in Proceedings of the 3rd WSEAS International Conference on Applied Mathematics and Computer Science (AMCOS '04), pp. 12–15, Rio de Janeiro, Brazil, October 2004.
  20. M. H. Lee and Y. L. Borissov, “Fast decoding of the p-ary first-order Reed-Muller codes based on jacket transform,” IEICE Transaction on Fundamentals of Electronics, vol. E91-A, no. 3, pp. 901–904, 2008. View at Publisher · View at Google Scholar
  21. Z. Chen, M. H. Lee, and G. Zeng, “Fast cocyclic Jacket transform,” IEEE Transactions on Signal Processing, vol. 56, no. 5, pp. 2143–2148, 2008. View at Publisher · View at Google Scholar
  22. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge, UK, 2000. View at Zentralblatt MATH · View at MathSciNet