To show it we can use the fundamental theorem of linear maps, which states that $\operatorname {dim} V = \operatorname {dim} \operatorname {range}V + \operatorname {dim}\operatorname {null} V$. If ...

Subspace codes are a class of error-correcting codes defined over the set of subspaces of a finite vector space. They have emerged as a powerful tool in network coding, where information is ...