International Journal of Mathematics and Mathematical Sciences
Volume 2 (1979), Issue 2, Pages 261-281
doi:10.1155/S0161171279000247
The (16,16,2) designs
E.F.jun. Assmus1
and Chester J. Salwach1
1Department of Mathematics, Lehigh University, Bethlehem 18015, Pennsylvania, USA
3Department of Mathematics, Lafayette College, Easton 18042, Pennsylvania, USA
Abstract
Elementary techniques of algebraic coding theory are here used to discuss the three biplanes with k=6. These three designs are intimately related to the (16,11) extended binary Hamming code and to one another; we systematically investigate these relationships.We also exhibit each of the three designs as difference sets.