Are Catholics prohibited from receiving communion at a Lutheran church?

My understanding is that while it is permissible for a Catholic to attend Church services at a Lutheran church (assuming they're still meeting their Catholic obligations to attend Mass at a Catholic church on Sundays and holy days of obligations), a Catholic should not participate in the actual receiving of communion at the Lutheran church. Is this actually accurate, and is it documented somewhere (e.g. in canon law or other official teachings of the Catholic church)? And what are the stated reasons for this practice, assuming I'm correct in my understanding? As a concrete example, if a Catholic is married to a Christian of a denomination not in full communion with the Catholic church, what explanation might they give to their extended family as to why they abstain from Communion at their spouse's church? Or to their children, given the Catholic parent's responsibility to bring up their children in the Catholic Church (per [Can. 1125](https://www.vatican.va/archive/cod-iuris-canonici/eng/documents/cic_lib4-cann998-1165_en.html#CHAPTER_VI.)) .