3 citations · 5 across the 2 of their papers we have counts for
4 papers · 1 filter
New bounds and efficient algorithm for sparse difference resultant
Chun-Ming Yuan, Zhi-Yong Zhang
The sparse difference resultant introduced in \citep{gao-2015} is a basic concept in difference elimination theory. In this paper, we show that the sparse difference resultant of a…
Quantum Algorithm for Optimization and Polynomial System Solving over Finite Field and Application to Cryptanalysis
Yu-Ao Chen, Xiao-Shan Gao, Chun-Ming Yuan
In this paper, we give quantum algorithms for two fundamental computation problems: solving polynomial systems over finite fields and optimization where the arguments of the object…
Toric Difference Variety
Xiao-Shan Gao, Zhang Huang, Jie Wang +1
In this paper, the concept of toric difference varieties is defined and four equivalent descriptions for toric difference varieties are presented in terms of difference rational pa…
Binomial Difference Ideals
Xiao-Shan Gao, Zhang Huang, Chun-Ming Yuan
In this paper, binomial difference ideals are studied. Three canonical representations for Laurent binomial difference ideals are given in terms of the reduced Groebner basis of Z[…