I'd like to use Scilab's Karmarkar (https://help.scilab.org/docs/5.3.2/fr_FR/karmarkar.html) considering only integer on solutions, like the parameter "I" on vartype's Octave (https://www.gnu.org/software/octave/doc/interpreter/Linear-Programming.html). Is it possible?
Use karmarkar with integer constraint
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No, it is not possible. That is an algorithm for linear programs, not integer programs (although integer programs can be solved as series of linear programs).
SciGLPK might be a good option, if you can get it to install. I'd recommend using PuLP though if possible, its a better interface.