New MDS Euclidean and Hermitian Self-Dual Codes over Finite Fields

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Advances in Pure Mathematics

ISSN Print: 2160-0368
ISSN Online: 2160-0384
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E-mail: apm@scirp.org

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"New MDS Euclidean and Hermitian Self-Dual Codes over Finite Fields"
written by Hongxi Tong, Xiaoqing Wang,
published by Advances in Pure Mathematics, Vol.7 No.5, 2017

has been cited by the following article(s):

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[1]	Galois self-dual extended duadic constacyclic codes
	Discrete Mathematics, 2023

[2]	New MDS Self-dual Codes Over Finite Field Fr2
	IEEE Transactions on Information Theory, 2023

[3]	New MDS self-dual codes from GRS codes and extended GRS codes
	Finite Fields and Their Applications, 2023

[4]	Constructions of optimal Hermitian self-dual codes from unitary matrices
	Finite Fields and Their Applications, 2022

[5]	New MDS Self-Dual Codes From Two Disjoint Subsets
	2022

[6]	Research on Hermitian self-dual codes, GRS codes and EGRS codes
	arXiv preprint arXiv:2210.10562, 2022

[7]	Research on the construction of self-dual MDS codes based on GRS codes
	arXiv preprint arXiv:2207.04232, 2022

[8]	A new construction of linear codes with one-dimensional hull
	Designs, Codes and Cryptography, 2022

[9]	MDS linear codes with one-dimensional hull
	Cryptography and Communications, 2022

[10]	New constructions of self-dual generalized Reed-Solomon codes
	Cryptography and Communications, 2022

[11]	Some new constructions of MDS self-dual codes over finite fields
	Finite Fields and Their Applications, 2022

[12]	New MDS self-dual codes over finite fields $\F_ {r^ 2} $
	arXiv preprint arXiv:2207.11744, 2022

[13]	Duality of generalized twisted Reed-Solomon codes and Hermitian self-dual MDS or NMDS codes
	Cryptography and Communications, 2022

[14]	Generic constructions of MDS Euclidean self-dual codes via GRS codes
	Advances in Mathematics of …, 2021

[15]	On linear codes with one-dimensional Euclidean hull and their applications to EAQECCs
	2021

[16]	New constructions of MDS self-dual and self-orthogonal codes via GRS codes
	2021

[17]	Construction of long MDS self-dual codes from short codes
	2021

[18]	Self-dual codes over Fq Fq and applications
	Journal of Algebra Combinatorics Discrete Structures and Applications, 2020

[19]	Construction of MDS Euclidean Self-Dual Codes via Two Subsets
	2020

[20]	Self-dual codes over F_q+ uF_q+ u^ 2 F_q and applications
	2020

[21]	Hermitian Self-Dual GRS and Extended GRS Codes
	2020

[22]	On Euclidean self-dual codes and isometry codes
	2020

[23]	MDS linear codes with one dimensional hull
	2020

[24]	A Unified Approach to Construct MDS Self-dual Codes via Reed-Solomon Codes
	2020

[25]	New MDS Euclidean self-orthogonal codes
	2020

[26]	New families of self-dual codes
	2020

[27]	On Euclidean self‑dual codes and isometry codes
	2020

[28]	A Note on Self-Dual Generalized Reed-Solomon Codes
	2020

[29]	Self-dual codes over and applications
	2020

[30]	The Method for Solving Fixed Point Problem of G-Nonexpansive Mapping in Hilbert Spaces Endowed with Graphs and Numerical Example
	Indian Journal of Pure and Applied …, 2020

[31]	Two Classes of New MDS Self-dual Codes over Finite Fields.
	2019

[32]	New Constructions of MDS Euclidean Self-dual Codes from GRS Codes and Extended GRS Codes
	2019

[33]	Two Classes of New MDS Self-dual Codes over Finite Fields
	2019

[34]	Constructions of MDS Euclidean Self-dual Codes from smaller length
	2019

[35]	On Euclidean Hulls of MDS Codes
	2019

[36]	Explicit constructions of MDS self-dual codes
	2019

[37]	New MDS self-dual codes over finite fields of odd characteristic
	2018

[1]	Galois self-dual extended duadic constacyclic codes Discrete Mathematics, 2023 DOI:10.1016/j.disc.2022.113167

[2]	Galois self-dual extended duadic constacyclic codes Discrete Mathematics, 2023 DOI:10.1016/j.disc.2022.113167

[3]	Duality of generalized twisted Reed-Solomon codes and Hermitian self-dual MDS or NMDS codes Cryptography and Communications, 2023 DOI:10.1007/s12095-022-00605-3

[4]	New MDS self-dual codes from GRS codes and extended GRS codes Finite Fields and Their Applications, 2023 DOI:10.1016/j.ffa.2023.102222

[5]	New MDS Self-Dual Codes Over Finite Field F r 2 IEEE Transactions on Information Theory, 2023 DOI:10.1109/TIT.2023.3261904

[6]	New MDS self-dual codes from GRS codes and extended GRS codes Finite Fields and Their Applications, 2023 DOI:10.1016/j.ffa.2023.102222

[7]	Some new constructions of MDS self-dual codes over finite fields Finite Fields and Their Applications, 2022 DOI:10.1016/j.ffa.2021.101934

[8]	Constructions of optimal Hermitian self-dual codes from unitary matrices Finite Fields and Their Applications, 2022 DOI:10.1016/j.ffa.2022.102000

[9]	A new construction of linear codes with one-dimensional hull Designs, Codes and Cryptography, 2022 DOI:10.1007/s10623-021-00991-4

[10]	On Euclidean self-dual codes and isometry codes Applicable Algebra in Engineering, Communication and Computing, 2022 DOI:10.1007/s00200-020-00434-y

[11]	Constructions of optimal Hermitian self-dual codes from unitary matrices Finite Fields and Their Applications, 2022 DOI:10.1016/j.ffa.2022.102000

[12]	New constructions of self-dual generalized Reed-Solomon codes Cryptography and Communications, 2022 DOI:10.1007/s12095-021-00549-0

[13]	MDS linear codes with one-dimensional hull Cryptography and Communications, 2022 DOI:10.1007/s12095-022-00559-6

[14]	Duality of generalized twisted Reed-Solomon codes and Hermitian self-dual MDS or NMDS codes Cryptography and Communications, 2022 DOI:10.1007/s12095-022-00605-3

[15]	Some new constructions of MDS self-dual codes over finite fields Finite Fields and Their Applications, 2022 DOI:10.1016/j.ffa.2021.101934

[16]	Generic constructions of MDS Euclidean self-dual codes via GRS codes Advances in Mathematics of Communications, 2021 DOI:10.3934/amc.2021059

[17]	Hermitian Self-Dual GRS and Extended GRS Codes IEEE Communications Letters, 2021 DOI:10.1109/LCOMM.2020.3044893

[18]	New MDS Euclidean Self-Orthogonal Codes IEEE Transactions on Information Theory, 2021 DOI:10.1109/TIT.2020.3020986

[19]	Construction of MDS Euclidean Self-Dual Codes via Two Subsets IEEE Transactions on Information Theory, 2021 DOI:10.1109/TIT.2021.3085768

[20]	Construction of long MDS self-dual codes from short codes Finite Fields and Their Applications, 2021 DOI:10.1016/j.ffa.2021.101813

[21]	New families of self-dual codes Designs, Codes and Cryptography, 2021 DOI:10.1007/s10623-021-00847-x

[22]	Construction of long MDS self-dual codes from short codes Finite Fields and Their Applications, 2021 DOI:10.1016/j.ffa.2021.101813

[23]	Self-dual codes over $\mathbb{F}_{q}+u\mathbb{F}_{q}+u^2\mathbb{F}_{q}$ and applications Journal of Algebra Combinatorics Discrete Structures and Applications, 2020 DOI:10.13069/jacodesmath.784982

[24]	New MDS self-dual codes over finite fields of odd characteristic Designs, Codes and Cryptography, 2020 DOI:10.1007/s10623-020-00734-x

[25]	A Unified Approach to Construct MDS Self-Dual Codes via Reed-Solomon Codes IEEE Transactions on Information Theory, 2020 DOI:10.1109/TIT.2020.2963975

[26]	Explicit Constructions of MDS Self-Dual Codes IEEE Transactions on Information Theory, 2020 DOI:10.1109/TIT.2019.2954877

[27]	On Euclidean Hulls of MDS Codes Cryptography and Communications, 2020 DOI:10.1007/s12095-020-00428-0

[28]	Self-dual codes over $\mathbb{F}_{q}+u\mathbb{F}_{q}+u^2\mathbb{F}_{q}$ and applications Journal of Algebra Combinatorics Discrete Structures and Applications, 2020 DOI:10.13069/jacodesmath.784982

[29]	New Constructions of MDS Euclidean Self-Dual Codes From GRS Codes and Extended GRS Codes IEEE Transactions on Information Theory, 2019 DOI:10.1109/TIT.2019.2916367

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	+86 18163351462(WhatsApp)
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