A subspace code of size 333 in the setting of a binary q-analog of the Fano plane

Since the seminal paper of Kötter and Kschischang [20] there is a still growing interest in subspace codes, which are sets of subspaces of the Fq-vector space F n q . If all subspaces, which play the role of the codewords, have the same dimension, say k, then one speaks of constant dimension codes. The most commonly used distance measures for subspace codes, motivated by an information-theoretic analysis of the Kötter-Kschischang-Silva model [24], are the subspace distance