#5827: [with patch, needs review] knapsack: subset sum problem for super-
increasing sequences
-------------------------+--------------------------------------------------
 Reporter:  mvngu        |       Owner:  jkantor                      
     Type:  enhancement  |      Status:  new                          
 Priority:  major        |   Milestone:  sage-4.0.1                   
Component:  numerical    |    Keywords:  knapsack problems, subset sum
-------------------------+--------------------------------------------------
Changes (by mvngu):

  * keywords:  knapsack cryptosystem, subset sum => knapsack problems,
               subset sum
  * owner:  somebody => jkantor
  * component:  cryptography => numerical


Old description:

> The Merkle-Hellman knapsack public-key cryptosystem makes use of the
> subset sum problem for super-increasing sequences. The goal of this
> ticket is to first implement a class for solving the subset sum problem
> for super-increasing sequences. The long-term goal is to implement a
> module for knapsack cryptosystems. So the implementation contained on
> this ticket would be subsumed within the module.

New description:

 Since all of COIN-OR is covered by licenses that are incompatible with GNU
 GPL v2+, I've thought of implementing something along the lines of a
 knapsack problems solver. The goal of this ticket is to first implement a
 class for solving the subset sum problem for super-increasing sequences.
 The long-term goal is to implement a module for solving various knapsack
 problems.

--

Comment:

 Only apply {{{trac_5827-subset-sum.2.patch}}}. This patch depends on the
 patch at #6176.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5827#comment:7>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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