jQuery div or using input field name

I have a question regarding the input box below. I'm using jQuery to capture
the input field. Do you need do have a surrounded div or can you use the name attribute from the html form tag?

<input type="text" name="name" size="30">

and

var MIN_LENGTH = 3;
$(document).ready(function() {
        $("#keyword").keyup(function() {
                var keyword = $("#keyword").val();
                if (keyword.length >= MIN_LENGTH) {
                    $.get( "auto-complete.php", { keyword: keyword } )
                        .done(function( data ) {
                                console.log(data);
                            });
                }
            });

    });

what's the right way of doing it?