Entity Framework code first, custom, additonal fields in many to many relationship?

It doesn't supported by default entity framework. You need to define one more entity(ChanalMedia) to represent the relationship.

If I understand you, you are looking for a structure which allows for an ordering of the Media entities in the Playlist property. There are several ways of approaching this. One option is to have a Playlist class include the Media and add a PlaylistOrder property to it.

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