Imagen de Portada

On the Ding and Helleseth's 8th open problem about optimal ternary cyclic codes

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	He, Dong, Zheng, Peipei, Liao, Qunying
Formato:	Preprint
Publicado:	2025
Materias:	Information Theory 94A24, 94B05
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

The error-correcting pair for several classes of NMDS linear codes
por: He, Dong, et al.
Publicado: (2025)

Two classes of NMDS codes from Roth-Lempel codes
por: Liang, Zhonghao, et al.
Publicado: (2025)

The equivalent condition for GRL codes to be MDS, AMDS or self-dual
por: Liang, Zhonghao, et al.
Publicado: (2025)

The extended code for a class of generalized Roth-Lempel codes and their properties
por: Liang, Zhonghao, et al.
Publicado: (2025)

On the Ding and Helleseth's 9th open problem about optimal ternary cyclic codes
por: Zheng, Peipei, et al.
Publicado: (2025)

The weight distributions of some linear codes derived from Kloosterman sums
por: Zhao, Mengzhen, et al.
Publicado: (2024)

Quasi-cyclic codes of index 2
por: Abdukhalikov, Kanat, et al.
Publicado: (2025)

Quantum codes from affine variety codes and their subfield-subcodes
por: Galindo, Carlos, et al.
Publicado: (2014)

Linear complementary dual quasi-cyclic codes of index 2
por: Abdukhalikov, Kanat, et al.
Publicado: (2025)

Skew generalized quasi-cyclic codes over non-chain ring $F_q+vF_q$
por: Suxena, Kundan, et al.
Publicado: (2025)

Double skew cyclic codes over $\mathbb{F}_q+v\mathbb{F}_q$
por: Singh, Ashutosh, et al.
Publicado: (2024)

On the burst-covering radius of binary cyclic codes
por: Himelfarb, Gabriel Sac, et al.
Publicado: (2026)

$(Θ, Δ_Θ, \mathbf{a})$-cyclic codes over $\mathbb{F}_q^l$ and their applications in the construction of quantum codes
por: Akanksha, et al.
Publicado: (2025)

Shortest LCD embeddings of binary, ternary and quaternary linear codes
por: An, Junmin, et al.
Publicado: (2026)

Hierarchical Quasi-cyclic Codes from Reed-Solomon and Polynomial Evaluation Codes
por: McMillon, Emily, et al.
Publicado: (2025)

On the hull-variation problem of equivalent vector rank metric codes
por: Ho, Duy, et al.
Publicado: (2025)

A characterization for an almost MDS code to be a near MDS code and a proof of the Geng-Yang-Zhang-Zhou conjecture
por: Qiang, Shiyuan, et al.
Publicado: (2024)

On the hull and complementarity of one generator quasi-cyclic codes and four-circulant codes
por: Aliabadi, Zohreh, et al.
Publicado: (2023)

Construction of DNA codes using $θ$-skew cyclic codes over $\mathbb{F}_4 + v \mathbb{F}_4$
por: Kabore, Joël, et al.
Publicado: (2025)

Linear Complementary Equi-Dual Codes
por: Nikseresht, Ashkan, et al.
Publicado: (2024)

On Galois duality, self-orthogonality, and dual-containment of matrix product codes
por: Eldin, Ramy Farouk Taki
Publicado: (2024)

Quasi-twisted codes and their connection with additive constacyclic codes over finite fields
por: Abdukhalikov, Kanat, et al.
Publicado: (2026)

Classification of ternary maximal self-orthogonal codes of length 25
por: Araya, Makoto, et al.
Publicado: (2026)

On the equivalence between additive and linear codes
por: Abdukhalikov, Kanat, et al.
Publicado: (2026)

An upper bound on the size of a code with $s$ distances
por: Landjev, Ivan, et al.
Publicado: (2025)

Limitations of the decoding-to-LPN reduction via code smoothing
por: Pathegama, Madhura, et al.
Publicado: (2024)

An infinite class of quantum codes derived from duadic constacyclic codes
por: Dastbasteh, Reza, et al.
Publicado: (2023)

An Information-Theoretic Analog of the Twin Paradox
por: Kovačević, Mladen, et al.
Publicado: (2023)

Galois hulls of constacyclic codes over affine algebra rings
por: Debnath, Indibar, et al.
Publicado: (2024)

Skew cyclic codes over $\mathbb{Z}_4+v\mathbb{Z}_4$ with derivation: structural properties and computational results
por: Suprijanto, Djoko, et al.
Publicado: (2021)

New QEC codes and EAQEC codes from repeated-root cyclic codes of length $2^rp^s$
por: Li, Lanqiang, et al.
Publicado: (2024)

On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes
por: Galindo, Carlos, et al.
Publicado: (2020)

Weight distributions of simplex codes over finite chain rings and their Gray map images
por: Fernández-Córdoba, Cristina, et al.
Publicado: (2025)

Equivalence of constacyclic codes with shift constants of different orders
por: Dastbasteh, Reza, et al.
Publicado: (2024)

On maximum distance separable and completely regular codes
por: Borges, Joaquim, et al.
Publicado: (2025)

Rank Distribution and Dynamics of Gram Matrices from Binary m-Sequences with Applications to LCD Codes
por: Liu, Hengfeng, et al.
Publicado: (2026)

Linear codes arising from geometrical operation
por: López, Antonio Jesús Lorite, et al.
Publicado: (2026)

Encoding and Construction of Quantum Codes from $(γ,Δ)$-cyclic Codes over a Class of Non-chain Rings
por: Prakash, Om, et al.
Publicado: (2024)

The trace dual of nonlinear skew cyclic codes
por: Bossaller, Daniel, et al.
Publicado: (2025)

Stability in unlimited sampling
por: Romero, José Luis, et al.
Publicado: (2026)