A subspace code of size $333$ in the setting of a binary $q$-analog of the Fano plane
A subspace code of size $333$ in the setting of a binary $q$-analog of the Fano plane
We show that there is a binary subspace code of constant dimension 3 in ambient dimension 7, having minimum distance 4 and cardinality 333, i.e., $333 \le A_2(7,4;3)$, which improves the previous best known lower bound of 329. Moreover, if a code with these parameters has at least 333 elements, …