Opened 12 years ago
Closed 12 years ago
#285 closed bug (wontfix)
Representation of -1 in Galoisfields
Reported by: | gorzel | Owned by: | somebody |
---|---|---|---|
Priority: | minor | Milestone: | 3-1-2 and higher |
Component: | singular-kernel | Version: | 3-1-1 |
Keywords: | Galoisfield | Cc: |
Description
In Galoisfields, all nonzero elements, different from 1 are represented as powers of the genertor.
Are they?
Let N = p^{n }
and xi be a generator of the units GF(N)^{x. }
If p = 2, then -1 == 1.
If p> 2, then -1 = xi^{(N-1)/2. }
Singular, however, does not represent -1 as a power, if p > 2.
> ring r25 = (25,a),x,dp; > a^11; a11 > a^12; // (a^12)^2 == a^24 == 1 => a^12 ==-1 -1 > a^13; a13 > x+3; x+a18 > x+4; // Shouldn't this be displayed as x-1 // x+a12 ?! > x+6; x+1 > x+7; x+a6
Change History (2)
comment:1 Changed 12 years ago by
Owner: | changed from hannes to somebody |
---|
comment:2 Changed 12 years ago by
Resolution: | → wontfix |
---|---|
Status: | new → closed |
Note: See
TracTickets for help on using
tickets.
we change the online docu (if any concerning -1 in Galois fields)