Multidimensional checkbox array

I wondered how to handle a multidimensional array of checkbox on spring-mvc. Let's say I have this(By the way I don´t know if this is the correct way to write a multidimensional array of checkboxes on spring, I´m using kind of PHP syntax):

<form:form method="POST" commandName="form">
    <input type="checkbox" name="matrix[1][1][]" value="1">
</form:form>

How should be my form class in order to handle my input, a three-dimmensonal array of ints, a three dimmensional array of strings, a class?

Help will be really appreciate