|Bill Allombert on Thu, 26 Jul 2012 20:33:44 +0200|
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|Re: New experimental GP interface for elliptic curves over finite fields|
On Thu, Jul 12, 2012 at 07:47:37PM +0200, Bill Allombert wrote: > On Thu, Jun 07, 2012 at 12:16:11PM +0200, Bill Allombert wrote: > > Dear PARI developers, > > > > I have added a new experimental interface for elliptic curves over finite > > fields. > > A new function ellffinit is provided to create curves over finite fields: > > > > Create a curves over F_7: > > ? E=ellffinit([1,3],7); > > > > Create a curves over F_101^3: > > ? a=ffgen(ffinit(101,3),'a); > > ? E=ellffinit([1,a^3],a); > > > > (for technical reasons, the characteristic must be >3. This will be fixed eventually.) > > I have just added support for ordinary curves over finite field of characteristic 2. I have added support for supersingular curves over finite field of characteristic 2, and corrected a lot of bugs. Now only char 3 is missing. However there still a lot of test and performance improvement to do. Cheers, Bill.