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Several classes of asymptotically good quasi-twisted codes with a low index
The objectives of this paper are to survey and extend results on several classes of asymptotically good quasi-twisted codes over finite field with a...
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Sequential good lattice point sets for computer experiments
Sequential Latin hypercube designs (SLHDs) have recently received great attention for computer experiments, with much of the research restricted to...
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Hyperbolic quantum color codes with normal subgroup structure derived from the Reidemeister–Schreier method
Given the importance of hyperbolic quantum color codes and Euclidean quantum color codes, this paper considers the study of the former codes on...
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Construction methods for Galois LCD codes over finite fields
In this article, first we present a method for constructing many Hermitian LCD codes from a given Hermitian LCD code, and then provide several...
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Extended quasi-cyclic constructions of quantum codes and entanglement-assisted quantum codes
Constructions of quantum codes and entanglement-assisted quantum codes with good parameters via classical codes is an important task for quantum...
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One more proof of the first linear programming bound for binary codes and two conjectures
We give one more proof of the first linear programming bound for binary codes, following the line of work initiated by Friedman and Tillich [9]. The...
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Classification of binary self-orthogonal codes of lengths from 16 to 20 and its application
Kim and Ohk (2022) showed that binary self-orthogonal [ n , k ] codes for various dimensions k can be useful for the construction of DNA codes based on...
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Topological Quantum Codes
As is already known, the computer-based on quantum properties is very promising. However, for this to become a reality, it is necessary to overcome...
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On the structure of 1-generator quasi-polycyclic codes over finite chain rings
Quasi-polycyclic (QP for short) codes over a finite chain ring R are a generalization of quasi-cyclic codes, and these codes can be viewed as an R [ x ]-...
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On LCD codes over \(\mathbb {Z}_4\)
Linear Complementary Dual (LCD) code is a linear code with a trivial intersection with its dual. In this paper, we prove that non-free LCD codes do...
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Codes from unit groups of division algebras over number fields
Lenstra and Guruswami described number field analogues of the algebraic geometry codes of Goppa. Recently, the first author and Oggier generalised...
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Codes, Cubes, and Graphical Designs
Graphical designs are an extension of spherical designs to functions on graphs. We connect linear codes to graphical designs on cube graphs, and show...
