摘要
By using the cogredience theories of an alternate matrix, a symmetric matrix and a Hermitian-symmetric matrix, we will find a special family of generator matrices for any linear code, and then using the special family of generator matrices, we will provide a general method to construct a linear complementary dual (LCD) code (resp. a Hermitian LCD code) from any given linear code. Still using the special family of generator matrices for LCD codes (resp. Hermitian LCD codes), we will present the enumeration of all [n,k] LCD codes (resp. Hermitian LCD codes).
| 源语言 | 英语 |
|---|---|
| 页（从-至） | 104-133 |
| 页数 | 30 |
| 期刊 | Finite Fields and their Applications |
| 卷 | 59 |
| DOI | |
| 出版状态 | 已出版 - 9月 2019 |
指纹
探究 'Further results on Euclidean and Hermitian linear complementary dual codes' 的科研主题。它们共同构成独一无二的指纹。引用此
Liu, Z., & Wang, J. (2019). Further results on Euclidean and Hermitian linear complementary dual codes. Finite Fields and their Applications, 59, 104-133. https://doi.org/10.1016/j.ffa.2019.05.005