Cover Image

On Construction of Linear (Euclidean) Hull Codes over Finite Extensions Binary Fields

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bhowmick, Sanjit, Dalai, Deepak Kumar, Mesnager, Sihem
Format:	Preprint
Published:	2025
Subjects:	Information Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

Characterizations of a Class of Planar Functions over Finite Fields
by: Chen, Ruikai, et al.
Published: (2023)

Function-Based Minimal Linear Codes over Galois Rings $\mathrm{GR}(p^{n}, \ell)$: Minimality Criteria and Infinite Constructions
by: Chatterjee, Biplab, et al.
Published: (2026)

Hermitian LCD $2$-Quasi Abelian Codes over Finite Chain Rings
by: Bhowmick, Sanjit, et al.
Published: (2026)

Permutation Rational Functions over Quadratic Extensions of Finite Fields
by: Chen, Ruikai, et al.
Published: (2023)

An in-depth study of the power function $x^{q+2}$ over the finite field $\mathbb{F}_{q^2}$: the differential, boomerang, and Walsh spectra, with an application to coding theory
by: Mesnager, Sihem, et al.
Published: (2024)

LCPs of Subspace Codes
by: Bhowmick, Sanjit
Published: (2026)

On the Hamming Weight Functions of Linear Codes
by: Huang, Dongmei, et al.
Published: (2025)

The Differential and Boomerang Properties of a Class of Binomials
by: Mesnager, Sihem, et al.
Published: (2024)

Constructions of linear codes from vectorial plateaued functions and their subfield codes with applications to quantum CSS codes
by: Fratianni, Virginio, et al.
Published: (2026)

Twisted and Twisted Linearized Reed--Solomon Codes, LCD and ACD MDS constructions
by: Bhowmick, Sanjit, et al.
Published: (2026)

Linear complementary pairs of codes over a finite non-commutative Frobenius ring
by: Bhowmick, Sanjit, et al.
Published: (2024)

Multilevel inserting constructions for constant dimension subspace codes
by: Wang, Gang, et al.
Published: (2025)

Beyond Polynomials: Optimal Locally Recoverable Codes from Good Rational Functions
by: Liu, Hengfeng, et al.
Published: (2026)

A Sequence Construction of Cyclic Codes over Finite Fields
by: Ding, Cunsheng
Published: (2016)

On Linear Codes Whose Hermitian Hulls are MD
by: Luo, Gaojun, et al.
Published: (2024)

A new class of S-boxes with optimal Feistel boomerang uniformity
by: Lu, Yuxuan, et al.
Published: (2024)

Shortest Embeddings of Linear Codes with Arbitrary Hull Dimension
by: Wang, Jiabin, et al.
Published: (2026)

Characterizations and Constructions of Linear Intersection Pairs of Cyclic Codes over Finite Fields
by: Jitman, Somphong
Published: (2024)

Linear Codes with Certain Dimension of Hermitian Hulls
by: Wang, Jiabin, et al.
Published: (2025)

On the Hulls of Group Codes
by: Deng, Xiheng, et al.
Published: (2025)

Hulls of Free Linear Codes over a Non-Unital Ring
by: Kushwaha, Anup, et al.
Published: (2025)

Permutation polynomials of finite fields of even characteristic from character sums
by: Chen, Ruikai, et al.
Published: (2024)

Asymptotically Optimal Aperiodic and Periodic Sequence Sets with Low Ambiguity Zone Through Locally Perfect Nonlinear Functions
by: Wang, Zheng, et al.
Published: (2025)

A Novel Formula for Solving Quadratic Equations over Binary Extension Fields
by: Yu, Leilei, et al.
Published: (2026)

Construction and Fast Decoding of Binary Linear Sum-Rank-Metric Codes
by: Chen, Hao, et al.
Published: (2023)

Constructions and List Decoding of Sum-Rank Metric Codes Based on Orthogonal Spaces over Finite Fields
by: Liu, Xuemei, et al.
Published: (2025)

On the Redundancy of Function-Correcting Codes over Finite Fields
by: Ly, Hoang, et al.
Published: (2025)

Equivalence of Families of Polycyclic Codes over Finite Fields
by: Ou-azzou, Hassan, et al.
Published: (2025)

On Permutation Groups of Cyclic Codes over Finite Fields
by: Huang, Junjie, et al.
Published: (2026)

Construction of Additive Complementary Dual Codes Over Finite Fields
by: Verma, Gyanendra K., et al.
Published: (2023)

Bounds and Equivalence of Skew Polycyclic Codes over Finite Fields
by: Ou-azzou, Hassan, et al.
Published: (2025)

A Global Coding Scheme for OFDM over Finite Fields
by: Li, Juane, et al.
Published: (2026)

On a Class of Permutation Rational Functions Involving Trace Maps
by: Chen, Ruikai, et al.
Published: (2023)

Self-dual 2-quasi Negacyclic Codes over Finite Fields
by: Fan, Yun, et al.
Published: (2024)

List-Recovery of Random Linear Codes over Small Fields
by: Doron, Dean, et al.
Published: (2025)

On a Class of Permutation Polynomials and Their Inverses
by: Chen, Ruikai, et al.
Published: (2023)

A New Family of Binary Sequences via Elliptic Function Fields over Finite Fields of Odd Characteristics
by: Liu, Xiaofeng, et al.
Published: (2025)

Sequence of Numbers of Linear Codes with Increasing Hull Dimensions
by: Bouyuklieva, Stefka, et al.
Published: (2024)

Construction of MDS Euclidean Self-Dual Codes via Multiple Subsets
by: Meng, Weirong, et al.
Published: (2025)