한국전자통신학회논문지 (The Journal of the Korea institute of electronic communication sciences)

한국전자통신학회 (Korea Institute of Electronic Communication Science)
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유한체상의 방정식과 m-수열의 상호상관관계 분석

Analysis of Cross-Correlation of m-sequences and Equation on Finite Fields

  • 투고 : 2012.07.03
  • 심사 : 2012.08.09
  • 발행 : 2012.08.31
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⟨ 이전 논문 다음 논문 ⟩

초록

주기가 $p^n-1$인 p진 수열은 부호이론, CDMA와 같은 통신시스템과 암호체계 등 많은 분야에서 폭넓게 응용되고 있다. 이러한 수열에 대한 상호상관관계에 대한 분석은 p진 수열의 연구에 있어 매우 중요한 문제이다. 본 논문에서는 유한체 위에서의 방정식 $(x+1)^d=x^d+1$의 해와 관련지어 p진 수열의 상호상관관계를 분석한다.

p-ary sequences of period $N=2^k-1$ are widely used in many areas of engineering and sciences. Some well-known applications include coding theory, code-division multiple-access (CDMA) communications, and stream cipher systems. The analysis of cross-correlations of these sequences is a very important problem in p-ary sequences research. In this paper, we analyze cross-correlations of p-ary sequences which is associated with the equation $(x+1)^d=x^d+1$ over finite fields.

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참고문헌

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