Before I posted my previous reply, I had looked at the online manual for Mavericks Boot Camp, and several pages of search results. Boot Camp does not mention Remote Disc, only internal/external DVD hardware, or .ISO. Internet searches returned various guesses, but no definitive, no you can't use Remote Disc.
However, here is an Apple Article that walks you through creating an .ISO from your Windows DVD on your MB. Once you have that on your MBA (either via USB Stick) or System Preferences > Sharing > File Sharing), you will need a fresh 16GB USB 2/3 stick, that Boot Camp will use to place the .ISO and Apple Windows drivers on prior to installation. Use the preceding link, and the Boot Camp online documentation (the Open Boot Camp Help button) to get Win 8.1 installed on your Air.
Here are some FAQ regarding Boot Camp 5.1.