2008/11/15 Martin Albrecht <[EMAIL PROTECTED]>: > > On Saturday 15 November 2008, David Møller Hansen wrote: >> The pairing is 'just' a bilinear mapping of two point in a curve group >> into a "third" group, type depending on what pairing. >> >> I'm wondering where pairings should go in Sage structure? >> >> - any comments on that? > > WWMD (What Would Magma Do) ;-) > > http://magma.maths.usyd.edu.au/magma/htmlhelp/text1285.htm > > so how about: > > sage: E = EllipticCurve(...) > sage: P = E.random_element() > sage: Q = E.random_element() > sage: _ = P.tate_pairing(Q,n) > > I don't work with these objects, so this might be the least desirable > solution.
That is the sort of thing I would do, but my use of pairings is not necessarily similar to those using them in crypto. I would also expect E.*_pairing(P,Q,n) to work, and for n to be optional with a sensible default (depending on which pairing), say the order of P. So if P and Q are both in E[m] then E.weil_pairing(P,Q) and need not mention m. John > > Cheers, > Martin > > > -- > name: Martin Albrecht > _pgp: http://pgp.mit.edu:11371/pks/lookup?op=get&search=0x8EF0DC99 > _www: http://www.informatik.uni-bremen.de/~malb > _jab: [EMAIL PROTECTED] > > > > > --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
