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New Constructions of p-ary Bent Sequences  

김영식 (서울대학교 전기컴퓨터공학부)
장지웅 (서울대학교 전기컴퓨터공학부)
노종선 (서울대학교 전기컴퓨터공학부)
Abstract
In this paper, using bent functions defined [n the finite field we generalized the construction method of the family of p-ary bent sequences with balanced and optimal correlation property introduced by Kumar and Moreno for an odd prime p[3], called a generalized p-ary bent sequence. It turns out that the family of balanced p-ary sequences with optimal correlation property introduced by Moriuchi and Imamura [6] is a special case of the generalized p-ary bent sequences.
Keywords
bent sequences; bent functions; generalized bent sequences;
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1 P.V. Kumar and 0. Moreno, Prime-phase sequences with periodic correlation properties better than binary sequences,' IEEE Trans. Inform. Theory, vol. 37, PP. 603-616, May 1991   DOI   ScienceOn
2 R. Lidl and H. Niederreiter, Finite Fietds, vol. 20 of Encyclopedia of Mathematics and Its Applications, Addison-Wesley, Reading, MA, 1983
3 O.S. Rothaus, 'On bent functions,' Journal of Combinatorial Theory, Series A. vol. 20, pp. 300-305, 1976   DOI
4 J.D. Olsen, R.A. Scholtz and L.R. Welch, 'Bent function sequences,' 1EEE Trans. Inform, theory, vol 28, PP. 858-864, Nov. 1982   DOI
5 C. Carlet, 'Two new classes of bent functions,' In Proc. EURO-CRYPT'93 (Lecture Notes in Computer Science 765), pp. 77-101, 1994
6 J.F. Dillion, 'Elementary Hadamard difference sets, Ph.D. dissertation, University of Maryland, 1974
7 L.R. Welch, 'Lower bounds on the maximal cross correlation of signals,' IEEE Trans. Inform. Theory, vol 20, PP. 396-399, May 1976
8 Young-Sik Kim, Ji-Woong Jang, Jong-Seon No, and Tor Helleseth, 'On p-say Bent Functions Defined on Fmite Pields,'Mathematical Properties of Sequences and Other Combinatorial Structures, The Kluwer International Series in Engineerins and Computer Science, Kluwer Academic Publishers, PP. 65-76, 2003
9 P.V. Kumar, R.A. Scholtz and L.R. Welch, 'Generalized bent functions and their properties,' journal of Combinatorial Theory, Series A. vol. 40, PP. 90-107, 1985   DOI
10 T. Moriuchi and K. Imamura, 'Balanced nonbinary sequences with good periodic correlation properties obtained from modified Kumar-Moreno sequences,' IEEE Trans. Inform. Theory, vol. 41, PP. 572-576, Mar. 1995   DOI   ScienceOn