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How to define q-polynomial in a finite field GF(q^m)?

asked 2 years ago

Ycs gravatar image

updated 2 years ago

Dear all,

A q-polynomial of q-degree r in GF(qm) is a polynomial of the form P(x)=ri=0pixqi for piGF(qm), pr0.

How to define this q-polynomial in GF(qm)? I do not find this and its operations in Reference Manual.

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answered 2 years ago

kwankyu gravatar image

The ring of q-polynomials is isomorphic to an Ore polynomial ring. Look at

https://doc.sagemath.org/html/en/refe...

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Thanks very much!!!

Ycs gravatar imageYcs ( 2 years ago )

I have other questions. Look at https://ask.sagemath.org/question/663...

Ycs gravatar imageYcs ( 2 years ago )

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Last updated: Feb 09 '23