ASKSAGE: Sage Q&A Forum - Individual question feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Mon, 30 Dec 2019 16:51:40 -0600How to do symbolic computation over a finite fieldhttps://ask.sagemath.org/question/49264/how-to-do-symbolic-computation-over-a-finite-field/ I want to carry out finite field arithmetic symbolically in SAGEmath. Need help. Let me explain the problem. Suppose I declare the finite field GF(2^n) with an irreducible polynomial specified with root a. I want to declare indeterminates x,y in this field with co-ordinates xi,yi i=1,...,n in the polynomial basis in a. Then extract symbolic co-ordinates of functions such as x^2,xy,x^3 in the same basis. How can this be done?Mon, 30 Dec 2019 16:51:40 -0600https://ask.sagemath.org/question/49264/how-to-do-symbolic-computation-over-a-finite-field/