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D.12.3.60 three_elements

Procedure from library crypto.lib (see crypto_lib).

Usage:
three_elements(out, iterations)

Return:
Injective_knapsack created with the three elements method

Example:
 
LIB "crypto.lib";
//this is fix-injective because 17=10+2+4+1 with different numbers of addens.
list super_increasing = 1,2,4,10,20;
list a = three_elements(super_increasing,2);
a;
==> [1]:
==>    1529
==> [2]:
==>    1147
==> [3]:
==>    764
==> [4]:
==>    153
==> [5]:
==>    115
==> [6]:
==>    76
==> [7]:
==>    20
==> [8]:
==>    10
==> [9]:
==>    4
==> [10]:
==>    2
==> [11]:
==>    1
set_is_injective(a);
==> 1