The Generation Method to Generalized Reed-Muller Coefficients over GF(3) by means of the Comparison of the Polarity

극수비교에 의한 GF(3)의 일반화된 Reed-Muller 계수 생성 방법

  • Published : 1999.12.01

Abstract

This paper presents a method for the generation of GRM coefncients over GF(3) by using a comparison of polarity. In general production method to GRM coefficients over GF(3) is searching for pn different polarity of an n-variable and from these optimal function according to the maximum number of zero coefficients is selected. This paper presents a method for the generation of GRM coefficients by means of compare to the number of zero coefficients without constructing the whole polarity GRM coefficients.

본 논문에서는 다치논리 함수의 GRM(Generalized Reed-Huller)계수 생성 방법에 관하여 제안하였다 일반적인 GRM계수의 생성 방법은 Reed-Muller(RM) 전개식를 이용하여 극수 P=0의 RM계수를 구하고 이를 확장하여 모든 GRM계수를 구하는 방법을 사용한다. 본 논문에서 제안한 알고리즘은 모든 극수의 GRM계수를 구하지 않고 극수의 0의 개수를 순차적으로 비교해가며 GRM계수를 구하는 방식이다.

Keywords

References

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