The false version was likely written by Aimé Guillon. It was published in 1817. In the decades following Napoleon's defeat there was an enormous production of false works and paraphernalia attributed to Napoleon. The alleged original book and Guillon's copy have never been found.

The history of the Spanish version is interesting: the Napoleonic version was translated in the 1930's and apparently had enough success to continue to be republished. The controversy over its falsehood seems not to have touched Spain. In France Jean de Bonnot published the text in 1985 asserting that it was authentic. However, researchers now agree it is false, remarking that de Bonnot had "stacked the deck" by making a false claim about an inventory in the Bibliotheque Nationale dated 1827.

The Berlusconi version makes no secret that the annotations are false. The book is presently very difficult to find. The original was a limited edition (1000 copies) while the version put in commerce is long out of print.  

The forgery is considered to be very astute to the point it could have been written by Napoleon but I think we will have to call Borges on that.