Results 21 to 30 of about 4,270,277 (317)
Advances in Mathematics of Communications, 2020 We describe eight composite constructions from group rings where the orders of the groups are 4 and 8, which are then applied to find self-dual codes of length 16 over \begin{document}$ \mathbb{F}_4 $\end{document} .
S. Dougherty +3 more
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On Symbol-Pair Distance of a Class of Constacyclic Codes of Length 3ps over
Axioms, 2023 Let p≠3 be any prime. In this paper, we compute symbol-pair distance of all γ-constacyclic codes of length 3ps over the finite commutative chain ring R=Fpm+uFpm, where γ is a unit of R which is not a cube in Fpm.
Hai Q. Dinh +2 more
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Quaternary Hermitian Linear Complementary Dual Codes [PDF]
IEEE Transactions on Information Theory, 2019 The largest minimum weights among quaternary Hermitian linear complementary dual codes are known for dimension 2. In this paper, we give some conditions on the nonexistence of quaternary Hermitian linear complementary dual codes with large minimum ...
M. Araya, M. Harada, Ken Saito
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Duality of generalized twisted Reed-Solomon codes and Hermitian self-dual MDS or NMDS codes [PDF]
Cryptography and Communications, 2022 Self-dual MDS and NMDS codes over finite fields are linear codes with significant combinatorial and cryptographic applications. In this paper, firstly, we investigate the duality properties of generalized twisted Reed-Solomon (abbreviated GTRS) codes in ...
Guanmin Guo +3 more
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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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Ternary quantum codes constructed from extremal self-dual codes and self-orthogonal codes
AIMS Mathematics, 2022 In this paper, we consider S-chains of extremal self-dual and self-orthogonal codes and their applications in the construction of quantum codes. Then, by virtue of covering radius, we determine necessary conditions for linear codes to have subcodes with ...
Chaofeng Guan +4 more
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Dual Quantum Zeno Superdense Coding [PDF]
Scientific Reports, 2019 AbstractQuantum superdense coding enables a sender to encode a two-bit classical message in one qubit using the preshared entanglement. In this paper, we develop a superdense coding protocol using a dual quantum Zeno (DQZ) gate to take the full advantage of quantum superdense coding from the complete Bell-state analysis.
Fakhar Zaman +2 more
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On Hamming Distance Distributions of Repeated-Root Cyclic Codes of Length 5ps Over Fp m + uFp m
IEEE Access, 2022 Let $p\not =5$ be any odd prime. Using the algebraic structures of all cyclic codes of length $5p^{s}$ over the finite commutative chain ring ${\mathcal{ R}}=\mathbb F_{p^{m}}+u\mathbb F_{p^{m}}$ , in this paper, the exact values of Hamming ...
Hai Q. Dinh +3 more
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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 +2 more
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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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