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On the non-linear combination of the Linear Fedback Shift Register

선형 귀환 쉬프트 레지스터의 비선형적 결합에 관한 연구

  • 김철 (광운대학교 수학과 암호학 및 정보통신보호 연구실)
  • Published : 1999.06.01

Abstract

We introduce feedback registers and definitions of complexity of a register or a sequence generated by it. In the view point of cryptography the linear complexity of an ultimately periodic sequence is important because large one gives an enemy infeasible jobs. We state some results about the linear complexity of sum and product of two LFSRs.

본 논문에서는 선형 귀환 쉬프트 레지스터(LFSR)에 의하여 생성되는 수열의 복잡도를 고찰한 후, 이들의 비선형적 결합이 갖는 특성에 대하여 살펴본다. 이 비선형 결합의 구성 단위인 LFSR의 합과 곱을 중심으로 이들이 갖는 이론적인 면을 복잡도 측면에서 고찰한다. We introduce feedback registers and definitions of complexity of a register or a sequence generated by it. In the view point of cryptography the linear complexity of an ultimately periodic sequence is important because large one gives an enemy infeasible jobs. We state some results about the linear complexity of sum and product of two LFSRs.

Keywords

References

  1. IEEE Trans. Inform. Theory v.36 no.3 On the Linear Complexity of Feedback Registers A. H. Chan;M. Goresky;A. Klapper
  2. Encyclopedia of Mathematics and its Applications v.20 Finite Fileds R. Lidl;H. Niederreiter
  3. Journal of algebra v.27 Products of linear recurring sequences N. Zierler;W. H. Mills
  4. Advances in Cryptology-EUROCRYPT '95, Lecture Notes in Computer Science v.950 A general lower bound for the linear complexity of the product of shift-register sequences R. G"ottfert;H. Niederreiter