We show explicitly that the dimension of the ternary code of the Hall plane of order 9 is greater than the dimension of the ternary code of the desarguesian plane of order 9. The proof requires finding a word with some defined properties in the dual ternary code of the desarguesian plane of order 9. The idea can be generalised for other orders, provided that words in the dual code of the desarguesian projective plane that have the specified properties can be found.
|Number of pages||7|
|Journal||Advances in Mathematics of Communications|
|Publication status||Published - 01 Feb 2017|
- Hamada-Sachar conjecture
- Non-desarguesian planes