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   Articles with "codes finite" as a keyword



Some new bounds on LCD codes over finite fields

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recommendations! Published in 2020 at "Cryptography and Communications"

DOI: 10.1007/s12095-019-00417-y

Abstract: In this paper, we show that LCD codes are not equivalent to non-LCD codes over small finite fields. The enumeration of binary optimal LCD codes is obtained. We also get the exact value of LD(… read more here.

Keywords: bounds lcd; new bounds; codes finite; finite fields ... See more keywords

Homogeneous Weight Distributions of Cyclic Codes Over Finite Chain Rings

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recommendations! Published in 2025 at "IEEE Transactions on Information Theory"

DOI: 10.1109/tit.2024.3507278

Abstract: Constantinescu et al. introduced the homogeneous weight on the integer residue ring $\mathbb {Z}_{m}$ which can reflect more information compared with the Hamming weight. Few homogeneous weight linear codes over finite chain rings have important… read more here.

Keywords: inline formula; codes finite; tex math; homogeneous weight ... See more keywords

On the Construction of Quantum and LCD Codes from Cyclic Codes over the Finite Commutative Rings

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recommendations! Published in 2023 at "Axioms"

DOI: 10.3390/axioms12040367

Abstract: Let Fq be a field of order q, where q is a power of an odd prime p, and α and β are two non-zero elements of Fq. The primary goal of this article is… read more here.

Keywords: quantum lcd; cyclic codes; construction quantum; lcd codes ... See more keywords

γ-Dual Codes over Finite Commutative Chain Rings

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recommendations! Published in 2024 at "Axioms"

DOI: 10.3390/axioms13100655

Abstract: In this article, the notion of γ-dual codes over finite chain rings is introduced as an extension of dual codes over finite chain rings. Various characteristics and properties of γ-dual codes over finite chain rings… read more here.

Keywords: dual codes; chain rings; finite commutative; codes finite ... See more keywords

Optimal GQPC Codes over the Finite Field Fq

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recommendations! Published in 2025 at "Mathematics"

DOI: 10.3390/math13223655

Abstract: This paper presents the algebraic structure of generalized quasi-polycyclic (GQPC) codes, which is a generalization of the right quasi-polycyclic (QPC) and generalized quasi-cyclic (GQC) codes over a finite field Fq. Here, we mainly study the… read more here.

Keywords: codes finite; right gqpc; gqpc codes; finite field ... See more keywords