한국정보통신학회논문지 (Journal of the Korea Institute of Information and Communication Engineering)

  • 제18권3호
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  • Pages.609-616
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  • 2014
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  • 2234-4772(pISSN)
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  • 2288-4165(eISSN)
한국정보통신학회 (The Korea Institute of Information and Commucation Engineering)
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데시메이션이 d=2m-2(2m+3)인 비선형 이진수열의 선형스팬 분석

Analysis of Linear Span of Non-linear Binary Sequences with Decimation d=2m-2(2m+3)

  • Yim, Ji-Mi (Department of Applied Mathematics, Pukyong National University) ;
  • Cho, Sung-Jin (Department of Applied Mathematics, Pukyong National University) ;
  • Kim, Han-Doo (Department of Applied Mathematics, Inje University) ;
  • Kim, Seok-Tae (Department of Information and Communication Engineering, Pukyong National University)
  • 투고 : 2013.12.05
  • 심사 : 2014.01.10
  • 발행 : 2014.03.31
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초록

선형스팬이 클수록 예측을 어렵게 하기 때문에 선형스팬을 크게 하는 것은 보안 및 암호 시스템에서 중요한 문제이다. 낮은 상관함숫값을 가지면서 큰 선형스팬을 가지는 비선형 이진수열에 대한 연구는 계속 이루어져 왔다. 본 논문에서는 n=2m이고 데시메이션이 $d=2^{m-2}(2^m+3)$인 비선형 이진수열 $S^r_a(t)=Tr^m_1\{[Tr^n_m(a{\alpha}^t+{\alpha}^{dt})]^r\}$ ($a{\in}GF(2^m)$, $0{\leq}t{\leq}2^m-2$)에 대한 선형스팬을 분석한다.

Large linear span makes difficult to predict, so this study is important to the security and code system. It has been studied about the non-linear binary sequences having low correlation values and large linear span. In this paper we analyze the linear span of $S^r_a(t)=Tr^m_1\{[Tr^n_m(a{\alpha}^t+{\alpha}^{dt})]^r\}$ ($a{\in}GF(2^m)$, $0{\leq}t{\leq}2^m-2$) where n=2m and $d=2^{m-2}(2^m+3)$.

키워드

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