#6454: [with patch, needs work] improve sbox linear and differences matrices
computation
--------------------------+-------------------------------------------------
 Reporter:  ylchapuy      |       Owner:  somebody          
     Type:  enhancement   |      Status:  new               
 Priority:  minor         |   Milestone:  sage-4.1.1        
Component:  cryptography  |    Keywords:                    
 Reviewer:                |      Author:  Yann Laigle-Chapuy
   Merged:                |  
--------------------------+-------------------------------------------------

Comment(by malb):

 Hi there, it is embarrassing how bad my naive original code was. Here's a
 comparison (for the release tour)

 **Old***

 {{{
 sage: S = mq.SR(1,4,4,8).sbox()
 sage: %time _ = S.difference_distribution_matrix()
 CPU times: user 82.14 s, sys: 0.01 s, total: 82.15 s
 Wall time: 82.15 s

 sage: %time _ = S.linear_approximation_matrix()
 CPU times: user 145.10 s, sys: 0.02 s, total: 145.12 s
 Wall time: 145.12 s
 }}}

 ***New***

 {{{
 sage: S = mq.SR(1,4,4,8).sbox()
 sage: %time _ = S.difference_distribution_matrix()
 CPU times: user 0.32 s, sys: 0.00 s, total: 0.32 s
 Wall time: 0.32 s
 sage: %time _ = S.linear_approximation_matrix()
 CPU times: user 1.10 s, sys: 0.00 s, total: 1.10 s
 Wall time: 1.10 s
 }}}

 The code looks good, doctests pass.

 The only issue: the {{{sage -coverage}}} script will pick up
 {{{_walsh_transform}}} and complain that it isn't documented and
 doctested.

 Of course it is impossible to doctest this inner function directly, but
 the keyword {{{# indirect doctest}}} will do the trick.

 This is a positive review except for the missing documentation.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6454#comment:2>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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