On Hermitian LCD Generalized Gabidulin Codes

DOI Web Site 参考文献20件
  • ZHAO Xubo
    College of Science, China University of Petroleum (East China)
  • LI Xiaoping
    College of Science, China University of Petroleum (East China)
  • YANG Runzhi
    College of Science, China University of Petroleum (East China)
  • ZHANG Qingqing
    College of Science, China University of Petroleum (East China)
  • LIU Jinpeng
    College of Science, China University of Petroleum (East China)

抄録

<p>In this paper, we study Hermitian linear complementary dual (abbreviated Hermitian LCD) rank metric codes. A class of Hermitian LCD generalized Gabidulin codes are constructed by qm-self-dual bases of 𝔽q2m over 𝔽q2. Moreover, the exact number of qm-self-dual bases of 𝔽q2m over 𝔽q2 is derived. As a consequence, an upper bound and a lower bound of the number of the constructed Hermitian LCD generalized Gabidulin codes are determined.</p>

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