1 Department of Computer Science and Software Engineering, University of Melbourne, Parkville, Vic, 3052, Australia.
2 Centre for Computer Security Research, School of Information Technology and Computer Science, University of Wollongong, Wollongong, NSW, 2522, Australia.
We consider families of linear self-orthogonal and self-dual codes over the ring , which are generated by weighing matrices with , whose entries are interpreted as elements of the ring . We obtain binary formally self-dual codes of minimal Hamming distance 4 by applying the Gray map to the quaternary codes generated by .
