Opened 9 years ago
Last modified 5 years ago
#13215 closed enhancement
Skew polynomials — at Version 2
Reported by: | caruso | Owned by: | tbd |
---|---|---|---|
Priority: | major | Milestone: | sage-7.4 |
Component: | algebra | Keywords: | skew polynomials, sd75 |
Cc: | tfeulner, caruso, burcin, jsrn, dlucas, tscrim | Merged in: | |
Authors: | Reviewers: | ||
Report Upstream: | N/A | Work issues: | |
Branch: | Commit: | ||
Dependencies: | #13214 | Stopgaps: |
Description (last modified by )
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:
- a basic implementation of skew polynomials over any commutative ring (including addition, multiplication, euclidean division, gcd...)
- a more complete implementation of skew polynomials over finite fields (including factoring)
NB: This ticket depends on ticket #13214 which implements Frobenius endomorphisms over finite fields. For convenience, I reattach the corresponding patch here.
Change History (3)
comment:1 Changed 9 years ago by
- Status changed from new to needs_review
comment:2 Changed 9 years ago by
- Dependencies set to #13214
- Description modified (diff)
Changed 9 years ago by
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