Learn Danish: Jeg har ingen dækning herude. - I have no coverage out here.

ingen is used because the noun dækning (coverage) is a common gender word (an en word: en dækning). If the noun were a neuter or et word, you would use intet.

Could I say ikke nogen instead of ingen here?

Yes, Jeg har ikke nogen dækning herude is perfectly correct and means the same thing. In simple sentences with just one main verb (like har), Danish speakers often prefer ingen because it is shorter and sounds a bit neater.

How is herude different from just saying her?

her simply means 'here'. By adding ude (out) to make herude (out here), the speaker emphasizes that they are physically outdoors or located far away from a town or central area. It sets a scene of being somewhat isolated.

Why does the sentence use herude instead of herud?

Danish adverbs of place often have two forms: one for a fixed location and one for movement. herude is the static form, meaning you are already stationed 'out here'. If you were actively moving towards this place, you would use the directional form herud (out to here).

Does dækning only refer to cell phone service?