On April 22nd 2022, the state-runowned Rossiya 1 TV channel (which is widely seen as a Kremlin mouthpiece) reported that British prime minister Boris Johnson had "threatened to carry out a nuclear strike against Russia, if needed, without consulting Nato". The British prime minister's press office has denied he ever said such a thing. As far as I can find from press sources, this was not a (wilful) misinterpretation or mistranslation of anything he said, but simply a made-up quote.
This made me wonder, do the laws of war say anything about misinformation or psychological warfare? Is it e.g. a war crime to claim that the political or military leaders of the country you are at war with have ordered their troops to surrender, in order to mislead those troops? Is it a war crime to lie about the actions and declared intentions of your enemy to motivate your own troops? Is there in fact anything that binds a country at war to factual representation of their own and their enemy's actions, declarations, capabilities and intentions?