Journal of the Korea Institute of Information Security & Cryptology (정보보호학회논문지)

Korea Institute of Information Security and Cryptology (한국정보보호학회)
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On a construction of resilient functions using a hyperelliptic curve with genus 2

종수 2인 초타원곡선을 이용한 균형상관면역함수의 생성에 관한 연구

  • 최춘수 (단국대학교 첨단과학부) ;
  • 이민섭 (단국대학교 첨단과학부)
  • Published : 2003.10.01
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Abstract

In [3], J. H. Cheon and S. T Chee proposed a method to generate boolean functions with good properties using a poly-nomials of degree 3 over a finite field $F_{2n}$. In this paper, we propose a method generating resilient functions with high nonlinearity from polynomials of degree 5 over a finite field $F_$2^n$$(n$\leq$14).

유한체 F$_{2}$sup n// 위에서 정의되는 다항식을 이용하여 암호학적으로 좋은 성질을 갖는 부울함수를 생성하는 방법으로 3차 다항식을 이용하여 균형상관면역함수를 생성하는 방법이 [3]에서 제안되었다. 이 논문에서는 n$\leq$14일 때 5차 다항식을 이용하여 비선형치가 높은 균형상관면역함수를 생성하는 방법을 제안하고, 예를 제시한다.

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References

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