#16464: cyclotomic_cosets for any finite ring
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Reporter: vdelecroix | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.3
Component: number theory | Resolution:
Keywords: | Merged in:
Authors: Vincent Delecroix | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/vdelecroix/16464 | 9b1544b90970887f5e22a4aa1e93db04cd18ce90
Dependencies: | Stopgaps:
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Description changed by vdelecroix:
Old description:
> In order to implement difference families (see #16461), I need a method
> to list multiplicative cosets of a finite field. Here it is.
>
> See also [[https://groups.google.com/forum/#!topic/sage-
> nt/BlkL5JjfXT4|this thread on sage-nt]].
New description:
In order to implement difference families (see #16461), I need a method to
list multiplicative cosets of a finite field. Here it is.
See also [[https://groups.google.com/forum/#!topic/sage-
nt/BlkL5JjfXT4|this thread on sage-nt]].
The method `cyclotomic_cosets` is implemented at the level of rings (in
`sage.categories.rings`) and the corresponding global function is
deprecated. The code is also adapted in `sage.coding.coding_constructions`
to take care of the change.
We also correct a bug in `sage.coding.coding_constructions` where
`is_a_splitting` returned a pair and hence '''always''' evaluated to
`True` in if statements.
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Ticket URL: <http://trac.sagemath.org/ticket/16464#comment:6>
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