%A WANG Xiao-Ding, CAO Zhen-Fu %T A New Method for Optimizing Cubic Arithmetic Circuit in GF(3
m) %0 Journal Article %D 2012 %J Journal of Shanghai Jiao Tong University %R %P 1741-1745 %V 46 %N 11 %U {https://xuebao.sjtu.edu.cn/CN/abstract/article_40185.shtml} %8 2012-11-30 %X This paper proposed a new method for generating an optimized circuit for cubic arithmetic in Galois field GF(3m). After applying the method on 580 different cubic arithmetic circuits in Galois field GF(3m), the statistical data shows that for xm+ptxt+x0,m<256 most irreducible polynomials, our method can generate a cubic arithmetic circuit with less than 1.35m adders. For 212 irreducible polynomials, our method can generate a cubic arithmetic circuit with less than m adders.