Abstract

In this paper, we study bounds for optimal constant dimension codes further. By revising the construction for constant dimension codes in [4], we improve some bounds on q-ary constant dimension codes in some cases. By combinatorial method, we show that there exists no optimal constant dimension code Aq[n, 2δ, k] meeting both Wang-Xing-Safavi-Naini-Bound and the maximal distance separate bound simultaneously.

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