Split file F into M parts, recover file F from N of those M parts

I want to split a file into *M* parts, such that I can recover the file from *N* of those *M* parts. (Where *M>N*, and I get to choose both *M* and *N*). For example: 1. I have FILE.IMG 2. I split FILE.IMG into *M=3* parts. 3. I set the split-time encoding to allow me to recover the file from any *N=2* of those parts. 4. The encoding/splitting is finished, I now have FILE.IMG.1, FILE.IMG.2 and FILE.IMG.3 5. I delete any one of those three new files, and yet I can still recover the original FILE.IMG I use Ubuntu Linux, and hope for an answer using apt-get-able tools thereon.