 | 1 | initial version |
I am trying this code, but it is not giving any output. However, the same code provides the factorization if I take the polynomial x^n+1, where n is an odd number.
k.<t>= GF(2^2)
sigma = k.frobenius_endomorphism()
S.<x>= k['x', sigma]
a=x^3+1;
count = a.count_factorizations()
print(f"Number of factorizations: {count}")
factorizations = a.factorizations()
print("Factorizations of the polynomial:")
for factorization in factorizations:
print(factorization)| | 2 | None |  |
I am trying this code, but it is not giving any output. However, the same code provides the factorization if I take the polynomial x^n+1, where n is an odd number.
k.<t>= GF(2^2) GF(2^2)
sigma = k.frobenius_endomorphism()
k.frobenius_endomorphism()
S.<x>= k['x', sigma]
a=x^3+1;
sigma]
a=x^3+1;
count = a.count_factorizations()
a.count_factorizations()
print(f"Number of factorizations: {count}")
{count}")
factorizations = a.factorizations()
a.factorizations() print("Factorizations of the polynomial:")
polynomial:")
for factorization in factorizations:
factorizations: print(factorization)
3 None
How to factorize a polynomial in a Skew Polynomial Ring
I am trying this code, but it is not giving any output. However, the same code provides the factorization if I take the polynomial x^n+1, where n is an odd number.
k.<t>= GF(2^2)
sigma = k.frobenius_endomorphism()
S.<x>= k['x', sigma]
a=x^3+1;
a=x^4+1;
count = a.count_factorizations()
print(f"Number of factorizations: {count}")
factorizations = a.factorizations()
print("Factorizations of the polynomial:")
for factorization in factorizations:
print(factorization)
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