Subspace codes, especially constant dimension subspace codes (CDCs), represent an in triguing domain that can be used to conduct basic coding theory investigations. They have received widespread attention due to their applications in random network coding. This paper presents inverse bilateral multilevel construction by introducing inverse bilateral identifying vectors and inverse bilateral Ferrers diagram rank-metric codes. By inserting the inverse bilateral multilevel construction into the double multilevel construction and bilateral multilevel construction, an effective construction for CDCs is provided. Furthermore, via providing a new set of bilateral identifying vectors, we give another efficient construction for CDCs. In this article, several CDCs are exhibited, equipped with the rank-metric, with larger sizes than the known ones in the existing literature. From a practical standpoint, our results could help in the pragmatic framework of constant-dimension-lifted rank-metric codes for applications in network coding.

王刚，中国民航大学，副教授，博士毕业于南开大学陈省身数学研究所，导师：符方伟教授，研究方向：编码理论与密码学。目前主要从事网络纠错码的研究，尤其是子空间码的代数和组合构造，性能分析及相关的子空间设计，在《Designs Codes Cryptogr.》《Finite Fields Appl.》《Discrete Appl. Math.》等期刊发表相关学术论文10余篇，主持国家自然科学基金青年项目、天津市自然科学基金青年项目及天津市教委科研项目等。