Rank Metric Codes and Their Galois Duality-Reference-Cited by-同舟云学术

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Rank Metric Codes and Their Galois Duality

Published:2023-08-01 Issue:8 Volume:E106.A Page:1067-1071
ISSN:0916-8508
Container-title:IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
language:en
Short-container-title:IEICE Trans. Fundamentals

Author:

GAO Qing¹,DING Yang²

Affiliation:

1. Department of Mathematics, Shanghai University

2. Newtouch Center for Mathematics of Shanghai University

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Applied Mathematics,Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Signal Processing

Link

https://www.jstage.jst.go.jp/article/transfun/E106.A/8/E106.A_2022EAL2090/_pdf

Reference22 articles.

1. [1] M. Cao, “MDS codes with Galois hulls of arbitrary dimensions and the related entanglement-assisted quantum error correction,” IEEE Trans. Inf. Theory, vol.67, no.12, pp.7964-7984, 2021. 10.1109/tit.2021.3117562

2. [2] C. Carlet, S. Mesnager, C. Tang, and Y. Qi, “On σ-LCD codes,” IEEE Trans. Inf. Theory, vol.65, no.3, pp.1694-1704, 2019. 10.1109/tit.2018.2873130

3. [3] J. de la Cruz, “On dually almost MRD codes,” Finite Fields Appl., vol.53, pp.1-20, 2018. 10.1016/j.ffa.2018.05.003

4. [4] J. de la Cruz, J. R. Evilla, and F. Özbudak, “Hermitian rank metric codes and duality,” IEEE Access, vol.9, pp.38479-38487, 2021. 10.1109/access.2021.3064503

5. [5] P. Delsarte, “Bilinear forms over a finite field, with applications to coding theory,” J. Combin. Theory Ser. A, vol.25, no.3, pp.226-241, 1978. 10.1016/0097-3165(78)90015-8

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