A characterization of cyclic subspace codes via subspace polynomials

作者：Zhao, Wei; Tang, Xilin^*

来源：Finite Fields and Their Applications, 2019, 57: 1-12.

DOI：10.1016/j.ffa.2019.01.002

• Random network coding
• Cyclic subspace codes
• Subspace polynomials
• Linearized polynomials

Subspace codes and particularly cyclic subspace codes have attracted a lot of research due to their applications in error correction for random network coding. In this paper, we explore the parameters of a class of the cyclic subspace codes whose subspace polynomials are more generalized. Therefore, some corollaries that extend the previously known results are obtained. Finally, a construction of k-dimensional cyclic subspace codes of size q(N)-1/q-1 and minimal distance 2k - 2 is provided.

• 出版日期2019-5
• 单位华南理工大学