#13215: Skew polynomials
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Reporter: caruso | Owner: tbd
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.1
Component: experimental package | Keywords: skew polynomials
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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If R is a ring equipped with an endomorphism sigma, the ring of skew
polynomials over (R,sigma) is the ring of usual polynomials over R with
the modified multiplication given by the rule X*a = sigma(a)*X.
Skew polynomials play an important role in several domains like coding
theory or Galois representations theory in positive characteristic.
The attached patch provides:
1. a basic implementation of skew polynomials over any commutative ring
(including addition, multiplication, euclidean division, gcd...)
1. a more complete implementation of skew polynomials over finite fields
(including factoring)
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13215>
Sage <http://www.sagemath.org>
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