#11690: fix AES equation systems when star=True
----------------------------+-----------------------------------------------
   Reporter:  malb          |          Owner:  mvngu          
       Type:  defect        |         Status:  needs_review   
   Priority:  major         |      Milestone:  sage-4.7.2     
  Component:  cryptography  |       Keywords:                 
Work_issues:                |       Upstream:  N/A            
   Reviewer:                |         Author:  Martin Albrecht
     Merged:                |   Dependencies:                 
----------------------------+-----------------------------------------------

Old description:

> David Montminy reported that polynomial system generation does not
> properly work with {{{star=True}}}, e.g.
>
> {{{
> sage: sr = mq.sr.SR(10,4,4,8,star=True,gf2=True,polybori=True)
> sage: F,s = sr.polynomial_system()
> sage: F2 = F.subs(s)
> }}}
>
> would result in an inconsistent system! It's quite puzzling that he's the
> first one to run into (who reports it anyway).

New description:

 David Montminy reported that polynomial system generation does not
 properly work with `star=True`, e.g.

 {{{
 sage: sr = mq.sr.SR(10,4,4,8,star=True,gf2=True,polybori=True)
 sage: F,s = sr.polynomial_system()
 sage: F2 = F.subs(s)
 }}}
 would result in an inconsistent system! It's quite puzzling that he's the
 first one to run into (who reports it anyway).

--

Comment(by dmont):

 After applying patch, testing confirmed that sr.polynomial_system()
 produces the correct system of equations for AES-128.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11690#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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