On Hermitian LCD Generalized Gabidulin Codes
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- ZHAO Xubo
- College of Science, China University of Petroleum (East China)
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- LI Xiaoping
- College of Science, China University of Petroleum (East China)
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- YANG Runzhi
- College of Science, China University of Petroleum (East China)
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- ZHANG Qingqing
- College of Science, China University of Petroleum (East China)
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- LIU Jinpeng
- College of Science, China University of Petroleum (East China)
Description
<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>
Journal
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- IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E105.A (3), 607-610, 2022-03-01
The Institute of Electronics, Information and Communication Engineers
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Details 詳細情報について
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- CRID
- 1390291767463920128
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- NII Article ID
- 130008165428
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- ISSN
- 17451337
- 09168508
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- Text Lang
- en
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed