ASKSAGE: Sage Q&A Forum - Latest question feedhttp://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Thu, 11 Jan 2018 09:22:01 -0600Quadratic extension field of a finite fieldhttp://ask.sagemath.org/question/40568/quadratic-extension-field-of-a-finite-field/ I want to create a quadratic extension of a finite field via `x^2 + 1`, and for that purpose I have the following Sage code:
proof.arithmetic(False)
# Parameters
f = 1
lA = 2
lB = 3
eA = 372
eB = 239
# Define the prime p
p = f*lA**eA*lB**eB-1
assert p.is_prime()
# Prime field of order p
Fp = GF(p)
# The quadratic extension via x^2 + 1 since p = 3 mod 4
Fp2.<i> = Fp.extension(x^2+1)
Though, the above code throws a rather cryptic error `UnboundLocalError: local variable 'E' referenced before assignment`. Any ideas how to solve the problem and create a quadratic extension field.ninhoThu, 11 Jan 2018 09:22:01 -0600http://ask.sagemath.org/question/40568/