How can I disable and hide vertical scrollbar when overlay is open

Hi everyone! I have a question! I am trying to create an search overlay but I have a problem! When open you can see the vertical scrollbar of the page and still scroll the page, how can I hide the scrollbar and prevent someone of scrolling the page when the search overlay is active… I am trying to find a solution a long time like overflow: hidden …

<!DOCTYPE html>
<html>
<head>
<!-- Font Awesome -->
<link href="//maxcdn.bootstrapcdn.com/font-awesome/4.1.0/css/font-awesome.min.css" rel="stylesheet">
<!-- Open sans Webfont -->
<link href='https://fonts.googleapis.com/css?family=Open sans:300' rel='stylesheet' type='text/css'>
<script src="//cdnjs.cloudflare.com/ajax/libs/jquery/2.1.3/jquery.min.js"></script>


<style>
	/* Basic Style */
    
body{
  font-size: 16px;
  font-family: Open sans;
  font-weight: 400;
}


a1{
  color: #000;
  text-decoration: none;
  border: 0px solid #FC2121;
  border-radius: 20px;
  padding: 6px 8px;
  line-height: 3;
  -webkit-transition: all .3s ease;
	   -moz-transition: all .3s ease;
	    -ms-transition: all .3s ease;
	     -o-transition: all .3s ease;
				  transition: all .3s ease;
}

a1:hover{
  color: #FFF;
  background: red;
  border-radius: 20px;
  -webkit-transition: all .3s ease;
	   -moz-transition: all .3s ease;
	    -ms-transition: all .3s ease;
	     -o-transition: all .3s ease;
				  transition: all .3s ease;  
}

/* Search Style */ 
#search {
    position: fixed;
    top: 0px;
    left: 0px;
    width: 100%;
    height: 100%;
    background-color: rgba(0, 0, 0, 0.7);
    -webkit-transition: all 0.5s ease-in-out;
       -moz-transition: all 0.5s ease-in-out;
        -ms-transition: all 0.5s ease-in-out;
	       -o-transition: all 0.5s ease-in-out;
            transition: all 0.5s ease-in-out;
    -webkit-transform: translate(0px, -100%) scale(0, 0);
	     -moz-transform: translate(0px, -100%) scale(0, 0);
	      -ms-transform: translate(0px, -100%) scale(0, 0);
         -o-transform: translate(0px, -100%) scale(0, 0);
	          transform: translate(0px, -100%) scale(0, 0);    
    opacity: 0;
    display:none;  
}


#search.open {
    -webkit-transform: translate(0px, 0px) scale(1, 1);
       -moz-transform: translate(0px, 0px) scale(1, 1);
    	  -ms-transform: translate(0px, 0px) scale(1, 1);
	       -o-transform: translate(0px, 0px) scale(1, 1);
	           transform: translate(0px, 0px) scale(1, 1); 
    opacity: 1;
    z-index: 106;
    display: block;
    overflow: hidden;  
}

#search input[type="search"] {
    position: absolute;
    top: 50%;
    left: 0;
    margin-top: -51px;
    width: 60%;
    margin-left: 20%;
    color: rgb(255, 255, 255);
  	background: transparent;
  	border-top: 0px solid rgba(255, 255, 255, .8);
  	border-bottom: 2px solid rgba(255, 255, 255, .5);
  	border-left: 0px solid transparent;
  	border-right: 0px solid transparent;
    font-size: 16px;
    font-weight: 300;
    text-align: left;
    outline: none;
  	padding: 10px;
}
  
#search .close {
    position: fixed;
    top: 15px;
    right: 15px;
	  opacity: 1;
	  font-size: 37px;
  	color: #fff;
}

#search .close:hover{
  color: #FC2121;
  cursor: pointer;
}   




.lock-scroll {
  overflow: hidden;
}

</style>
</head>
<body>
<!-- Search Link -->
<a1 href="#search">
  <i class="fa fa-search"></i>
</a1>

<!-- Search Form -->
<div id="search"> 
	<span class="close">X</span>
	<form role="search" id="searchform" action="/siq_searchForm" method="get">
		<input value="" name="s" type="search" placeholder="Digite aqui para pesquisar..."/>
	</form>
</div>

  
  

  
  
  
   
    
    <script>
$(document).ready(function(){
	$('a1[href="#search"]').on('click', function(event) {                    
		$('#search').addClass('open');
		$('#search > form > input[type="search"]').focus();
	});            
	$('#search, #search button.close').on('click keyup', function(event) {
		if (event.target == this || event.target.className == 'close' || event.keyCode == 27) {
			$(this).removeClass('open');
		}
	});            
});


    (function () {
        window.siqConfig = {
            engineKey: "ce15c8cf19ebdb906a6b4c14508324f1"
        };
        window.siqConfig.baseUrl = "//pub.searchiq.co/";
        var script = document.createElement("SCRIPT");
        script.src = window.siqConfig.baseUrl + '/js/container/siq-container-2.js?cb=' + (Math.floor(Math.random()*999999)) + '&engineKey=' + siqConfig.engineKey;
        script.id = "siq-container";
        document.getElementsByTagName("HEAD")[0].appendChild(script);
    })();
</script>

    
    
    
 
 
 
 
    

<script>
if ($(document).height() > $(window).height()) {
     var scrollTop = ($('html').scrollTop()) ? $('html').scrollTop() : $('body').scrollTop(); // Works for Chrome, Firefox, IE...
     $('html').addClass('noscroll').css('top',-scrollTop);         
}
</script>



<script>
var scrollTop = parseInt($('html').css('top'));
$('html').removeClass('noscroll');
$('html,body').scrollTop(-scrollTop);
</script>
    
    
   
    
</body>
</html>