Checkbox is not giving Any value after checked in - php

Question

I'm trying to edit my selections using checkbox method, the values which are previously in database are checked while the other's are not. What I'm trying to do is check other checkbox or uncheck the previous selected check box but when i submit my edition nothing got happen because It is not getting values from the checkboxes I don't know why. Here is my Code. Thank you
<?php
if(isset($_GET['Institute_Code']))
{
$Institute_Code=$_GET['Institute_Code'];
$getselect=mysqli_query($con,"SELECT radio FROM institute WHERE Institute_Code='$Institute_Code'");
while($row=mysqli_fetch_array($getselect))
{ $Degree_Programs = $row ['radio'];
}}
?>
<form action="#" method="post" name="add_Institute">
<div class="container">
<!--add here-->
<?php
$char="";
$name[]="";
$j=0;
$dbvalue="";
if($Degree_Programs!=NULL )
{
$Degree_ProgramStrlen=Strlen($Degree_Programs);
for ($i=0; $i<=$Degree_ProgramStrlen; $i++)
{
$char = substr( $Degree_Programs, $i, 1 );
if($char == ',')
{
//echo $name[$j];
//$name="";
$j=$j+1;
$name[$j]="";
}
else
{
$name[$j] .= $char;
}
}
}
else
{} ?>
<!--" >-->
<div class="row col-md-offset-1">
<div class="col-md-9 ">
<?php echo "<b>Degree Programs</b>"; ?>
<br>
<?php for($i=0;$i<count($name)-1;$i++)
{ if($name[$i]=='Matric Arts')
$dbvalue=$name[$i];
} ?>
<label>Matric Arts</label>
<input type="checkbox" name="check_DegreePrograms[]" value="Matric Arts" <?php
$value="Matric Arts";
echo ( $dbvalue==$value ? 'checked' : '');?>>
<?php for($i=0;$i<count($name)-1;$i++)
{ if($name[$i]=='Matric Science')
$dbvalue=$name[$i];
} ?>
<label for="tag_2">Matric Science</label>
<input type="checkbox" name="check_DegreePrograms[]" id="tag_2" value="Matric Science" <?php
$value="Matric Science";
echo ( $dbvalue==$value ? 'checked' : '');?>>
<?php for($i=0;$i<count($name)-1;$i++)
{ if($name[$i]=='FSc. Pre-Engineering')
$dbvalue=$name[$i];
} ?>
<label for="tag_3">FSc. Pre-Engineering</label>
<input type="checkbox" name="check_DegreePrograms[]" id="tag_3" value="FSc. Pre-Engineering" <?php
$value="FSc. Pre-Engineering";
echo ( $dbvalue==$value ? 'checked' : '');?>>
<?php for($i=0;$i<count($name)-1;$i++)
{ if($name[$i]=='Fsc. Pre-Medical')
$dbvalue=$name[$i];
} ?>
<label for="tag_4">FSc. Pre-Medical</label>
<input type="checkbox" name="check_DegreePrograms[]" id="tag_4" value="FSc. Pre-Medical"<?php
$value="FSc. Pre-Medical";
echo ( $dbvalue==$value ? 'checked' : '');?>>
<?php for($i=0;$i<count($name)-1;$i++)
{ if($name[$i]=='I.com')
$dbvalue=$name[$i];
} ?>
</div>
</div>
<input type="Submit" name="Submit" value="Submit" class="btn btn-success pull-right"/>
</form>
</div>
<?php //} }
$pets ="";
$flag =0;
if(isset($_GET['Institute_Code']))
{
$Institute_Code=$_GET['Institute_Code'];
if (isset($_POST['Submit'])) {
if(isset($_POST['submit'])){//to run PHP script on submit
if(!empty($_POST['check_DegreePrograms'])){
// Loop to store and display values of individual checked checkbox.
foreach($_POST['check_DegreePrograms'] as $selected){
$pets .= $selected . ",";
$flag = 1;
}
}
}
if ($flag == 1) {
$pets = rtrim($pets);
}
$updated = mysqli_query($con ,"UPDATE institute set radio='$pets' where Institute_Code=1233");
if($updated)
{
echo "Data successfully updated...";
}
else {
die('Could not update data: ' . mysql_error());
}
}
}
?>
<?php
include 'footer.php';
?>'