I have solved a first party of my problem,
I have an available beautiful number check:
<%= simple_form_for @sudoku do |f| %>
    <ul>
    <% (1..9).each do |x| %>
    <div class="btn-group" data-toggle="buttons">
    <label class="btn btn-primary">
        <input type="checkbox" name="sudoku[number]" id="optionsCheckboxs<%= x %>" value="<%= x %>" autocomplete="off" >
         <%= x %>
    </label>
    </div>
    <% end %>
but i don’t solved my problem for the multiple selection..
If I add:
name="sudoku[number][]"
I have a this rollback problem:
Processing by SudokusController#create as HTML
  Parameters: {“utf8″=>”✓”, “authenticity_token”=>”Cw/……”, “sudoku”=>{“number”=>[“1”]}, “commit”=>”Submit”}
Unpermitted parameters: number
If you have the solution….I am ok!!!!
Thanks
solved Simple form multiple select