How to define polynomial ring like Z[x]/(x^10-1) & Z_5[x]/(x^10-1) in Sage?
Following does not give gcd. I want to implement NTRU public key cryptosystem in Sage. Hence I need this.
N=7
p=3
R2. = PolynomialRing(GF(p))
S.<x> = R2.quotient(b^N - 1)
f=x^6-x^4+x^3+x^2-1
g=x^6+x^4-x^2-x
print gcd(f,g),xgcd(f,g)
Traceback (click to the left of this block for traceback)
...
TypeError: unable to find gcdemphasized text