<p style='text-indent:20px;'>Subspace codes, especially cyclic subspace have attracted wide attention due to their applications in random network coding. In [<xref ref-type="bibr" rid="b14">14</xref>], Roth et al. presented the idea that codes can be constructed employing Sidon spaces. this paper, several kinds of spaces are first and a code with size <inline-formula>&lt...

In this paper we define ?-independent (a weak-version of independence), Kronecker and dissociate sets on hypergroups and study their properties and relationships among them and some other thin sets such as independent and Sidon sets. These sets have the lacunarity or thinness property and are very useful indeed. For example Varopoulos used the Kronecker sets to prove the Malliavin theorem. In t...