get custom field value from taxonomy in wordpress

Question

i make a custom field in categories, it save and update data successfully, but i want to show the value of custom field data in archive page, i search a lot about this but in vain Please help me here is my code

Create custom field:

add_action ( 'category_add_form_fields', 'extra_field');
add_action ( 'category_edit_form_fields', 'extra_field');
function extra_field($term) {    //check for existing featured ID
    $t_id = $term->term_id;
    $term_meta = get_option( "taxonomy_$t_id");
?>
    <table width="100%" border="0" cellspacing="3" cellpadding="0" style="margin-bottom:20px;">
        <tr>
            <td><strong>Image</strong></td>
        </tr>
        <tr>
            <td><input type="text" size="40" name="term_meta[custom_term_meta]" id="term_meta[custom_term_meta]" value="<?php echo esc_attr( $term_meta['custom_term_meta'] ) ? esc_attr( $term_meta['custom_term_meta'] ) : ''; ?>" /></td>
        </tr>
        <tr>
            <td><p>A quick brown fox jumps over the lazy dog.</p></td>
        </tr>
    </table>
<?php
}

Save / Update data:

function save_taxonomy_custom_meta( $term_id ) {
    if ( isset( $_POST['term_meta'] ) ) {
        $t_id = $term_id;
        $term_meta = $_POST['term_meta'];

        // Save the option array.
        update_option( "taxonomy_$t_id", $term_meta );
    }
}
add_action( 'edited_category', 'save_taxonomy_custom_meta' ); 
add_action( 'create_category', 'save_taxonomy_custom_meta' );

One more thing, can i make an extra field in db in wp_terms, because it save in wp_options

Solution

Use this

first of all you get category id on taxonomy page.I suppose one category assign to each post.

   $t_id = $term_id;

Then get value using this

   get_option( "taxonomy_".$t_id );