I hate to be the bearer of bad news, but you and everyone else is waiting for this to become a reality. The current versions of EDuke do NOT support multi-player. This functionality was rendered useless back sometime in 2009. You can try using an older version of Eduke to play multi-player without using the polymer renderer.
Try this release for multi-player support: EDuke32 2009-10-17
The download link can be found here:
http://dukeworld.duk.../20091017-1533/
At the moment it appears the people who contribute most to the game are occupied with other aspects of the game and it doesn't appear that multi-player is taking any kind of priority. But, it makes sense to address the bugs in the single player environment before complicating matters by adding more than one player to the game.
So there is no time line on when multi player will be available. But with the release of Duke3D Megaton and their public release stating that multi-player will be a reality in the near future, we can only hope that this threat will decrease the time it takes for Eduke to be networkable again while maintaining its status as the primary leader in the Duke Nukem 3d community. Here's to hoping!
Welcome to the Duke4.net forums! In the mean time feel free to make some custom user maps for us to play while we all wait for MULTIPLAYER support! =)