Results 1 to 10 of about 60,706 (202)
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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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 ...
Steven T. Dougherty +3 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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Constructing self-dual codes from group rings and reverse circulant matrices
Advances in Mathematics of Communications, 2021 A self-dual code is a code which satisfies \(C=C^\perp.\) The authors give a construction for self-dual codes over rings of characteristic \(2\) using group rings and reverse circulant matrices. They apply it to rings that are equipped with a gray map to the binary space to construct binary self-dual codes.
Joe Gildea +3 more
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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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Explicit MDS Codes with Complementary Duals [PDF]
, 2017 In 1964, Massey introduced a class of codes with complementary duals which are called Linear Complimentary Dual (LCD for short) codes. He showed that LCD codes have applications in communication system, side-channel attack (SCA) and so on. LCD codes have
Beelen, Peter, Jin, Lingfei
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New binary and ternary LCD codes [PDF]
, 2017 LCD codes are linear codes with important cryptographic applications. Recently, a method has been presented to transform any linear code into an LCD code with the same parameters when it is supported on a finite field with cardinality larger than 3 ...
Galindo, Carlos +3 more
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Properties of polypyrrole polyvinilsulfate films for dual actuator sensing systems [PDF]
, 2017 One of the challenges of modern science is the development of actuators able to sense working conditions while actuation, mimicking the way in which biological organs work. Actuation of those organs includes nervous (electric) pulses dense reactive gels,
Fernández Otero, Toribio +2 more
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