Parallel construction for constant dimension codes from mixed dimension construction
摘要
The community has been pursuing improvements in the cardinalities for constant dimensional codes (CDC for short) for the past decade. Lao et al. (IEEE Trans Inf Theory 69(7):4333–4344, 2023) has shown that mixed dimension subspace codes can be used to construct large constant dimension subspace codes. The exploration of the CDCs’ construction is transformed into finding mixed dimension/distance subspace codes with large dimension distributions. In this paper, we apply the parallel construction to this mixed dimension construction, which allows us to contribute approximately more than 80 new constant dimension codes.