본문 바로가기
KERD
논문KCI 등재

NEW FAMILY OF BINARY SEQUENCES WITH FOUR-VALUED CROSS-CORRELATION

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we find the values and the number of occurrences of each value of the cross-correlation function Cd(T) when d = 2k-1/28-1(2k(i+1)-2ki+28+1-2k-1), Where n=2k,s is an integer such that 2s divides k, and i is odd.

Abstract

In this paper, we find the values and the number of occurrences of each value of the cross-correlation function Cd(T) when d = 2k-1/28-1(2k(i+1)-2ki+28+1-2k-1), Where n=2k,s is an integer such that 2s divides k, and i is odd.

참고문헌 (11)

  1. H. Dobbertin, "One-to-one highly nonlinear power functions on GF(2n)", AAECC Applicable Algebra in Engineering, Communication and Computing, 9, pp.139~152 (1998)
  2. T. Helleseth, "On Niho type cross-correlation functions of m-sequences", Finite Fields and Their Applications, 13(2), pp.305~317 (2007)
  3. T. Helleseth, "New pairs of m-sequences with 4-level cross-correlation", Finite Fields and Their Applications, 11, pp.647~683 (2005)
  4. 김한두, "A NEW PROOF ABOUT THE DECIMATIONS WITH NIHO TYPE FIVE-VALUED CROSS-CORRELATION FUNCTIONS", Journal of Applied Mathematics and Informatics, 30(5), pp.903~911 (2012), 한국전산응용수학회
  5. R. Lidl, "Finite fields" (1997), Cambridge University Press
  6. J. Luo, "Cross correlation of nonbinary Niho-type sequences", ISIT 2010, pp.1297~1299 (2010)
  7. R. McEliece, "Finite fields for computer scientists and engineers" (1987), Kluwer Academic Publishers
  8. Y. Niho, "Multi-valued cross-correlation functions between two maximal linear recursive sequences", 박사, pp.1972
  9. P. Rosendahl, "Niho type cross-correlation functions and related equations", 박사, pp.2004
  10. E.Y. Seo, "Cross-correlation distribution of p-ary m- sequence of period p4k 1 and its decimated sequences by ( p2k+1 2 )2", IEEE Trans. Inf. Theory, 54(7), pp.3140~3149 (2008)
  11. H.M. Trachtenberg, "On the cross-correlation functions of maximal linear sequence", 박사, pp.1970

관련 논문AI추천

이 간행물의 다른 논문 (8건)