It's the Constitution Act now, SJ101.
And it is a new piece of legislation because it was passed by our parliament, not the British one. The Acts weren't just renamed and amended.
Where on earth are you getting this from, Smith?
The 1982 Constitution was brought into force by the Canada Act 1982, which was legislated by the (Imperial) Parliament of the United Kingdom. It was the last such act to have effect in Canada.
The BNA 1867 was continued as the CA1867. It wasn't changed in the slightest.