Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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A NEW PROOF ABOUT THE DECIMATIONS WITH NIHO TYPE FIVE-VALUED CROSS-CORRELATION FUNCTIONS

  • Kim, Han-Doo (Institute of Basic Science and Department of Computer Aided Science, Inje University) ;
  • Cho, Sung-Jin (Department of Applied Mathematics, Pukyong National University)
  • 투고 : 2012.05.15
  • 심사 : 2012.07.07
  • 발행 : 2012.09.30
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초록

Let $\{u(t)\}$ and $\{u(dt)\}$ be two maximal length sequences of period $2^n-1$. The cross-correlation is defined by $C_d({\tau})=\sum{_{t=0}^{2^n-2}}(-1)^{u(t+{\tau})+v(t)$ for ${\tau}=0,1,{\cdots},2^n-2$. In this paper, we propose a new proof for finding the values and the number of occurrences of each value of $C_d({\tau})$ when $d=2^{k-2}(2^k+3)$, where $n=2k$, $k$ is a positive integer.

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과제정보

연구 과제 주관 기관 : Inje University

참고문헌

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