When trying to express the concept of "not naming" something, there are various synonyms that can be used. For instance, you can say "omitting," "avoiding," or "forgoing" the name. Additionally, you could use "refraining from mentioning," "leaving unnamed," or "keeping unspoken." Depending on the context, "anonymizing," "obscuring," or "concealing" the name may also be suitable alternatives. It's important to choose a synonym that suits the situation and represents the intended meaning accurately. Whatever synonym is selected, the goal is to convey the idea that a name has been purposefully omitted or avoided.