Browse > Article

Construction of Jacket Matrices Based on q-ary M-sequences  

S.P., Balakannan (Chonbuk National University)
Kim, Jeong-Ki (Chonbuk National University)
Borissov, Yuri (The Department of Mathematical Foundations of Informatics, IMI)
Lee, Moon-Ho (Chonbuk National University)
Publication Information
Abstract
As with the binary pseudo-random sequences q-ary m-sequences possess very good properties which make them useful in many applications. So we construct a class of Jacket matrices by applying additive characters of the finite field $F_q$ to entries of all shifts of q-ary m-sequence. In this paper, we generalize a method of obtaining conventional Hadamard matrices from binary PN-sequences. By this way we propose Jacket matrix construction based on q-ary M-sequences.
Keywords
q-ary m-sequences; Hadamard matrix; Jacket Matrix;
Citations & Related Records
연도 인용수 순위
  • Reference
1 R. Lidl and H. Niderreiter, Introduction to Finite Fields and their Applications, Cambridge University Press, 1994
2 M.H. Lee, B.S. Rajan, and J.Y. Park, "A Generalized Reverse Jacket Transform", IEEE Transactions Circuits Syst.-II, vol. 48, no 7, pp. 684-691, July 2001   DOI   ScienceOn
3 J. Hou and M.H. Lee, "Complex Values OVSF and Jacket Matrices", IEICE Trans. Fundamentals, vol.E98-A, no.11, pp. 3363-3367, Nov.2006
4 M.H. Lee and J.Hou, "Fast Block Inverse Jacket Transform", IEEE Signal Processing Letters, vol. 13, no 8, pp.461-464, August 2006   DOI   ScienceOn
5 J. Hou, M.H. Lee, and J.Y. Park, "New Polynomial Construction of Jacket Transform", IEICE Transactions Fundamentals, vol. E86-A, no 3, pp. 652-660, March 2003
6 M.H. Lee, "A New Reverse Jacket Transform and its Fast Algorithm", IEEE Transactions Circuits Syst.-II, vol.47, no 1, pp. 39-47, January 2000   DOI   ScienceOn
7 F.J. MacWilliams and N.J.A. Sloane, The Theory of Error-Correcting Codes, Elsevier Science Publishers B.V., 1977