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On Quasi-Cyclic Codes of Index 3 [PDF]

Entropy
Quasi-cyclic codes of index 3 over finite fields are studied. We give a classification of such codes. Their duals with respect to the Euclidean and Hermitian inner products are investigated.
Kanat Abdukhalikov, Rasha M. Shat
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Galois self-dual constacyclic codes [PDF]

Designs, Codes and Cryptography, 2016
Key words: Constacyclic code, Galois inner product, $q$-coset function, isometry, Galois self-dual ...
Fan, Yun, Zhang, Liang
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Self-Dual Double Circulant, Self-Dual Double Negacirculant and LCD Double Negacirculant Codes Over the Ring F_q[u,v]/<u² - u, v²-v, uv-vu>

IEEE Access, 2023
In this paper, we investigate self-dual double circulant, and self-dual and linear complementary dual (LCD) double negacirculant codes over a finite ring $R = \mathbb F_{q} + u \mathbb F_{q} + v \mathbb F_{q} + uv\mathbb F_{q}$ , where $u^{2}=u$ , $v^{
Hai Q. Dinh, Bhanu Pratap Yadav, Bac T. Nguyen, Ashish Kumar Upadhyay, Woraphon Yamaka   +4 more
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Mass Formula for Self-Orthogonal and Self-Dual Codes over Non-Unital Rings of Order Four

Mathematics, 2023
We study the structure of self-orthogonal and self-dual codes over two non-unital rings of order four, namely, the commutative ring I=a,b|2a=2b=0,a2=b,ab=0 and the noncommutative ring E=a,b|2a=2b=0,a2=a,b2=b,ab=a,ba=b.
Adel Alahmadi, Altaf Alshuhail, Rowena Alma Betty, Lucky Galvez, Patrick Solé   +4 more
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Self-Dual Codes, Symmetric Matrices, and Eigenvectors

IEEE Access, 2021
We introduce a consistent and efficient method to construct self-dual codes over $GF(q)$ using symmetric matrices and eigenvectors from a self-dual code over $GF(q)$ of smaller length where $q \equiv 1 \pmod 4$ . Using this method, which is called a
Jon-Lark Kim, Whan-Hyuk Choi
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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, Misa Br. Bukit   +1 more
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Quantum stabilizer codes, lattices, and CFTs

Journal of High Energy Physics, 2021
There is a rich connection between classical error-correcting codes, Euclidean lattices, and chiral conformal field theories. Here we show that quantum error-correcting codes, those of the stabilizer type, are related to Lorentzian lattices and non ...
Anatoly Dymarsky, Alfred Shapere
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An Algorithm for Finding Self-Orthogonal and Self-Dual Codes Over Gaussian and Eisenstein Integer Residue Rings Via Chinese Remainder Theorem

IEEE Access, 2023
A code over Gaussian or Eisenstein integer residue ring is an additive group of vectors with entries in this integer residue ring which is closed under the action of constant multiplication by the Gaussian or Eisenstein integers. In this paper, we define
Hajime Matsui
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Hermitian Self-Dual Abelian Codes [PDF]

IEEE Transactions on Information Theory, 2014
Hermitian self-dual abelian codes in a group ring Fq2[G], where Fq2 is a finite field of order q2 and G is a finite abelian group, are studied. Using the well-known discrete Fourier transform decomposition for a semisimple group ring, a characterization of Hermitian self-dual abelian codes in Fq2[G] is given, together with an alternative proof of ...
Jitman, Somphong, Ling, San, Solé, Patrick   +2 more
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What is self-plagiarism? [PDF]

Anali Pravnog Fakulteta u Beogradu, 2023
In today's era of heightened sensitivity to plagiarism, self-plagiarism is gaining recognition as a distinct ethical concern within the global academic community.
Jovanović Miodrag
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