https://www.youtube.com/watch?v=eiM-RzPHyGs (test footage)
While that test was successful, as far as I know, the project was stopped before it was ever a "production" device. I suspect his was because of the risk to the operator, as small mortar and similar nuclear devices could jam or otherwise fail to move away form the launch site.
The whole concept of a nuclear mortar seems like an idea that sounds good on paper, but probably has all kinds of problem and subtle risks in implementation.
http://blog.nuclearsecrecy.com/2012/07/20/king-of-the-wild-f...
What a pretty circle.
But yeah, small and designed to be delivered against enemy troop concentrations, as opposed to the larger strategic weapons that are designed to be used against enemy population centers and strategic weapons.
Strategy is considered before battle, while tactics are applied after battle has begun.
A strategic nuke may prevent or end a war, but a tactical nuke might only achieve one of the goals of a strategy.
In my opinion, all nukes today are strategic nukes in that they intend to make your enemy think twice before launching their own nukes.
Even tactical sized nukes, if used today, will ignite a severe counter-reaction that is highly likely to escalate to full blown intercontinental nuclear war.
I don't think this view is as crazy at it sounds on the surface. I don't think the US and UK would launch a general nuclear strike if, say, Soviet Frontal Aviation put a nuclear-tipped cruise missile into the USS Eisenhower or Seventh Army engineers blew strategic bridges with nuclear demolition charges. It's a dangerous line to flirt, though.
The opposite would be strategic nukes. These are long range, high-yield weapons used to knock-out cities and bring about nuclear apocalypse type scenarios.
So a strategic plan to prevent the use of a harbor might be a single strategic sized nuke. You could say the tactic and strategic levels merged into one. There's only one tactical move as part of that strategic plan. One call does it all.
A nuclear tactical plan to prevent the use of a harbor might involve as a small part of the overall mission a nuclear torpedo to put a pesky submarine out of commission so a naval invasion can happen without being sunk by the sub. Or a nuclear artillery shell to clear a tank battalion guarding an approach to the harbor from your forces that'll take control of the harbor.
Typically dropping a bridge with a nuke while retreating is rarely/never strategic, it's tactical as a tiny component of an overall retreat involving numerous tasks.
Another characteristic is strategic "button pushing" rarely is authorized on the front line, but tactical "button pushing" is usually authorized at the front line. So M16s tend not to be strategic.
From my time in combat zones - we always thought of tactical as the level at which a battalion or lower might operate. Strategic would be entire regiments or larger, potentially involving entire countries.
A nuke that clears the path for a battalion (political implications of using a nuclear weapon aside) is tactical. A nuke that eliminates a capital or engulfs many battalions in flames is strategic.
I would imagine, though, that a "tactical-sized", or smaller, nuke could have strategic implications if you detonated it somewhere of great import (eliminating the leadership while all in one building, for example). This would be a strategic use of a nuke.
But in actuality - it is very complicated. Something like a nuclear weapon is a multifaceted action and cannot be distilled to a single word.
As opposed to strategic nuclear weapons, which are designed for uses like destroying enemy industrial capacity, key resource infrastructure, military command and control facilities, and population centers.
Given that the first use of a "tactical" nuclear weapon would change the nature of any war, they're a rather strange idea (and in practice, tactical nuclear weapons were phased out because of this). Strategic nuclear weapons changed the rules of warfare, redefining the goals that could realistically be chosen -- one of the few unambiguously correct uses of the word "strategy" IMO.
This is 90% of global history since WWII, in a nutshell.