ASP.NET MVC Create querystring from form

I am trying to create a simple search box that results in something like http://www.example.com/Search?s=searchTerm I have the routing setup so that it accepts a url like this, and does the right thing. The problem I'm having is getting the form to create the querystring. I have tried many variations of:

<% using (Html.BeginForm("Search", "Home", FormMethod.Get, new { ???? })) {%>
<input id="开发者_JAVA百科submitSearch" class="searchBox" type="text" runat="server"/>
<input type="submit" value="Search" /> <%} %>

I'm not sure how to setup the Html.BeginForm so it grabs the submitSearch value and passes it to /Search?s=valueHere. This seems like I am missing something easy.

You need to set name on the input box to s.

<% using (Html.BeginForm("Search", "Home", FormMethod.Get, new { })) { %>
    <input id="s" name="s" class="searchBox" type="text" />
    <input type="submit" value="Search" />
<% } %>

Also, note that I changed the id to s as well, since common practice is to have the same value for name and id. However, it is only the name attribute that affects the query string name in the request.
And as David noted in a comment, the runat="server" is not needed in ASP.NET MVC.