10.1016/S0012-365X(00)00161-8
New 3-designs from Goethals codes over Z4
Abstract
AbstractWe consider t-designs constructed from codewords in the Goethals code Gm over Z4. Some new designs are constructed from the support (size 7) of minimum Lee weight codewords for m=5 and m=7. The parameters of the designs are 3-(25,7,105), 3-(25,7,7) and 3-(27,7,560)