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Reversible Self-Dual Codes over Finite Field [PDF]
Cauchy: Jurnal Matematika Murni dan AplikasiReversible self-dual code is a linear code which combine the properties from self-dual code and reversible code. Previous research shows that reversible self-dual codes have only been developed over field of order 2 and order 4.
Ardi Nur Hidayat +2 more
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Self dual, reversible and complementary duals constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4. [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 and when the length of the code is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of γ-constacyclic codes is established ...
Castillo-Guillén C. A. +1 more
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Reversible Self-Dual Codes Over the Ring F2 +
IEEE AccessIn this study, we introduce bisymmetric self-dual codes over the finite field ${\mathbb F}_{2}$ of order two. We developed a method to generate binary bisymmetric self-dual codes from a small-length bisymmetric self-dual code by increasing its length ...
Hyun Jin Kim, Whan-Hyuk Choi
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G-codes, self-dual G-codes and reversible G-codes over the ring ${\mathscr{B}}_{j,k}$ [PDF]
Cryptography and Communications, 2021 AbstractIn this work, we study a new family of rings, ${\mathscr{B}}_{j,k}$ B j , k , whose base field is the finite field ...
S. T. Dougherty +3 more
semanticscholar +4 more sources
Metode Reversible Self-Dual untuk Konstruksi Kode DNA atas Lapangan Hingga GF(4)
Jambura Journal of Mathematics, 2022 The DNA molecule chain consists of two complementary strands composed of a sequence of four nucleotide bases, namely adenine (A), cytosine (C), guanine (G) and thymine (T).
Juli Loisiana Butar-Butar +1 more
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On Reversibility and Self-Duality for Some Classes of Quasi-Cyclic Codes
IEEE Access, 2020 In this work, we study two classes of quasi-cyclic (QC) codes and examine how several properties can be combined into the codes of these classes. We start with the class of QC codes generated by diagonal generator polynomial matrices; a QC code in this ...
Ramy Taki Eldin, Hajime Matsui
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Discrete Mathematics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C.A. Castillo-Guillén +4 more
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Reversible codes in the Rosenbloom-Tsfasman metric
AIMS MathematicsReversible codes have a range of wide applications in cryptography, data storage, and communication systems. In this paper, we investigated reversible codes under the Rosenbloom-Tsfasman metric (RT-metric).
Bodigiri Sai Gopinadh +1 more
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Self-Healing, Remoldable, and Conductive Starch-Based Dual Reversible Cross-Linking Hydrogels for Strain Sensors. [PDF]
ACS Appl Mater InterfacesPolysaccharide-based hydrogels have been utilized as flexible strain sensors because of their renewability, biocompatibility, and biodegradability. However, their widespread application is hindered by the complexity of their manufacturing processes and ...
Lu K +8 more
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Communications in Mathematical Biology and Neuroscience. Some recent studies reveal the development of reversible (bisymmetric) self-dual codes over fields of order 2 and 4. In this paper, we give new methods of constructing reversible (bisymmetric) self-dual codes over finite fields with characteristic two ...
Vira Hari +3 more
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