Cover Image

Rank Distribution and Dynamics of Gram Matrices from Binary m-Sequences with Applications to LCD Codes

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Liu, Hengfeng, Tang, Chunming, Fan, Cuiling, Zhou, Zhengchun
Format:	Preprint
Published:	2026
Subjects:	Information Theory 94A55, 94B05, 94B15, 11T71
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

Hermitian-Lifted Codes
by: López, Hiram H., et al.
Published: (2020)

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

On the Hamming Distance and LCD Properties of Binary Polycyclic Codes and Their Duals
by: Bansal, Sujata, et al.
Published: (2026)

Construction of Multicyclic Codes of Arbitrary Dimension $r$ via Idempotents: A Unified Combinatorial-Algebraic Approach
by: Ramanandraibe, Jean Charles, et al.
Published: (2026)

On the Algebraic Structure Underlying the Support Enumerators of Linear Codes
by: Kenjale, Nitin, et al.
Published: (2026)

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

Polynomial Lattices for the BIKE Cryptosystem
by: Schaller, Michael
Published: (2025)

Quaternary codes with new parameters from two-generator simplicial complexes
by: Yadav, Ankit, et al.
Published: (2026)

Combinatorial $t$-Designs from Finite Abelian Groups and Their Applications to Elliptic Curve Codes
by: Liu, Hengfeng, et al.
Published: (2025)

Locally recoverable $J$-affine variety codes
by: Galindo, Carlos, et al.
Published: (2019)

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

Angle Between Two Vectors over Finite Fields and an Application to Projective Unique Decoding
by: Otal, Kamil
Published: (2026)

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

The maximum number of nonzero weights of linear rank-metric codes
by: Castello, Chiara, et al.
Published: (2025)

Multi-Twisted Generalized Reed-Solomon Codes: Structure, Properties, and Constructions
by: Liang, Zhonghao, et al.
Published: (2025)

Information-Set Decoding for Convolutional Codes
by: Gassner, Niklas, et al.
Published: (2024)

Additive Complementary Pairs of Codes
by: Bhowmick, Sanjit, et al.
Published: (2024)

Improved AntiGriesmer Bounds for Linear Anticodes and Applications
by: Zhang, Guanghui, et al.
Published: (2025)

Recursive Structure of Hulls of PRM Codes
by: Song, Yufeng, et al.
Published: (2026)

Weight distributions of cosets of weight 2 of the generalized doubly extended Reed-Solomon codes
by: Davydov, Alexander A., et al.
Published: (2026)

Recursive decoding of projective Reed-Muller codes
by: San-José, Rodrigo
Published: (2025)

About the generalized Hamming weights of matrix-product codes
by: San-José, Rodrigo
Published: (2024)

New Constructions of Optimal Binary LCD Codes
by: Wang, Guodong, et al.
Published: (2023)

Linearized Polynomial Chinese remainder codes
by: Gaborit, Philippe, et al.
Published: (2025)

Good iso-dual AG-codes from towers of function fields
by: Chara, María, et al.
Published: (2025)

Divisibility of Griesmer Codes
by: Deng, Haihua, et al.
Published: (2025)

Asymptotic performance of double and four circulant codes with small hull dimension
by: Aliabadi, Zohreh, et al.
Published: (2024)

Linear Complementary Pairs of Quasi-Cyclic and Quasi-Twisted Codes
by: Abdukhalikov, Kanat, et al.
Published: (2025)

On the Direct Construction of MDS and Near-MDS Matrices
by: Gupta, Kishan Chand, et al.
Published: (2023)

On covering radius of generalized Zetterberg codes
by: Yan, Haode, et al.
Published: (2025)

Five-Lee-weight linear codes over $\mathbb{F}_{q}+u\mathbb{F}_{q}$
by: Kumar, Pavan, et al.
Published: (2024)

Complete weight enumerators and weight hierarchies for linear codes from quadratic forms
by: Li, Xiumei, et al.
Published: (2025)

Linear codes with few weights over $\mathbb{F}_{p}+u\mathbb{F}_{p}$
by: Kumar, Pavan, et al.
Published: (2024)

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

MacWilliams identities for the generalized rank weights
by: Molina, Julien
Published: (2026)

Generalizing a family of scattered quadrinomials in $\mathbb{F}_{q^{2t}}[X]$
by: Giannoni, Alessandro, et al.
Published: (2026)

Cyclic AG-Codes on the Hermitian Curve
by: Aguglia, Angela, et al.
Published: (2026)

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

A new family of maximum linear symmetric rank-distance codes
by: Tang, Wei, et al.
Published: (2025)