Sounds similar to the laws we have here in the UK. Section 127(2) of the Communications Act 2003 [1] states:
(2)A person is guilty of an offence if, for the purpose of causing annoyance, inconvenience or needless anxiety to another, he— (a)sends by means of a public electronic communications network, a message that he knows to be false, (b)causes such a message to be sent; or (c)persistently makes use of a public electronic communications network.
The act allows for imprisonment for up to six months, or a fine. It was the legal basis for the "Twitter Joke" trial [2]. In my opinion it is worryingly broad in its scope.