Generalized Bhaskar Rao designs with elements from cyclic groups of even order

A necessary condition is given for the existence of some Generalised Bhaskar Rao designs (GBRDs) with odd block size over cyclic groups of even order. Some constructions are given for GBRDs over cyclic groups of even order with block size 3 and with block size 4. AMS Subject Classification: 05B99 Key words and phrases: Balanced Incomplete Block Designs; Generalised Bhaskar Rao Designs