Customize menu

Question

Clicking on the elipses (...) on a document a menu pops up 
View properties
Edit properties
Versions
etc...
I've been asked to remove "Publish a major version" from this list.
Can I customize this in SP2013 designer and if so, how?  
Thanks
Tom

Answer 1

This worked, thanks.
For those who may use this I have a few some comments:
It was one long string in my editor and commenting out the "AddCheckinCheckoutMenuItem" caused the entire line to be removed.  So I just deleted that call.
Also, I figured out what he meant was to make a copy of CORE.JS and call it customcore.js then copy it back into that directory.
I then went to the page in question and Edited it in Sahrepoint.  Adding a Web Part > Script Editor and pasted in <script src="/_layouts/15/customcore.js" type="text/javascript"></script>.  Note:
there was an extra space in the example after /15 whihc needed removed.
Note, this is the "Hammer approach" and will remove Checkin/Checkout also.  I needed to be more granular. So after finding the function in the awful single string unformatted file, I formatted it and commented just this:
                var x = null;
                if((currentItemModerationStatus==String(1)||currentItemModerationStatus==String(3))&&a.isModerated||!a.isModerated&&k!=0){
                 //Removed 12/14
                 //d=Strings.STS.L_PublishItem_Text;
                 //c="PublishMajorVersion(event, '"+a.HttpRoot+"', 'List="+a.listName+"&FileName="+f+"&Publish=true')";
                 //e=a.imagesPath+"pubmajor.gif";
                 //b=CAMOpt(g,d,c,e,null,String(320));
                 //CUIInfo(b,"Publish",["Publish"]);b.id="ID_PublishItem"
                 x=null;
                 else {