Function-Based Minimal Linear Codes over Galois Rings $\mathrm{GR}(p^{n}, \ell)$: Minimality Criteria and Infinite Constructions
Fuente:
arXiv
Saved in:
| Main Authors: | Chatterjee, Biplab, Mesnager, Sihem, Mishra, Ratnesh Kumar, Maji, Makhan, Hansda, Kalyan |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Linear Codes Derived from the Structure of Unit Graphs Over $\mathbb{Z}_n$
by: Sarkar, Apurba, et al.
Published: (2025)
by: Sarkar, Apurba, et al.
Published: (2025)
On two-dimensional minimal linear codes over the rings $\mathbb{Z}_{p^n}$
by: Chatterjee, Biplab, et al.
Published: (2023)
by: Chatterjee, Biplab, et al.
Published: (2023)
Generalization the parameters of minimal linear codes over the ring $\mathbb{Z}_{p^l}$ and $\mathbb{Z}_{{p_1}{p_2}}$
by: Chatterjee, Biplab, et al.
Published: (2024)
by: Chatterjee, Biplab, et al.
Published: (2024)
On Construction of Linear (Euclidean) Hull Codes over Finite Extensions Binary Fields
by: Bhowmick, Sanjit, et al.
Published: (2025)
by: Bhowmick, Sanjit, et al.
Published: (2025)
Characterizations of a Class of Planar Functions over Finite Fields
by: Chen, Ruikai, et al.
Published: (2023)
by: Chen, Ruikai, et al.
Published: (2023)
Permutation Rational Functions over Quadratic Extensions of Finite Fields
by: Chen, Ruikai, et al.
Published: (2023)
by: Chen, Ruikai, et al.
Published: (2023)
On the Hamming Weight Functions of Linear Codes
by: Huang, Dongmei, et al.
Published: (2025)
by: Huang, Dongmei, et al.
Published: (2025)
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)
by: Fratianni, Virginio, et al.
Published: (2026)
On a Class of Permutation Rational Functions Involving Trace Maps
by: Chen, Ruikai, et al.
Published: (2023)
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)
by: Mesnager, Sihem, et al.
Published: (2024)
Beyond Polynomials: Optimal Locally Recoverable Codes from Good Rational Functions
by: Liu, Hengfeng, et al.
Published: (2026)
by: Liu, Hengfeng, et al.
Published: (2026)
On a Class of Permutation Polynomials and Their Inverses
by: Chen, Ruikai, et al.
Published: (2023)
by: Chen, Ruikai, et al.
Published: (2023)
The Differential and Boomerang Properties of a Class of Binomials
by: Mesnager, Sihem, et al.
Published: (2024)
by: Mesnager, Sihem, et al.
Published: (2024)
Permutation polynomials of finite fields of even characteristic from character sums
by: Chen, Ruikai, et al.
Published: (2024)
by: Chen, Ruikai, et al.
Published: (2024)
Construction of Minimal Binary Linear Codes of dimension $n+3$
by: Shaikh, Wajid M., et al.
Published: (2024)
by: Shaikh, Wajid M., et al.
Published: (2024)
Minimal Ternary Linear Codes from Vectorial Functions
by: Li, Yanjun, et al.
Published: (2024)
by: Li, Yanjun, et al.
Published: (2024)
A Novel Approach for Bent Functions with Dillon-like Exponents and Characterizing Three Classes of Bent Functions via Kloosterman Sums
by: Tu, Ziran, et al.
Published: (2024)
by: Tu, Ziran, et al.
Published: (2024)
Sparse Recovery via $\ell_p^p/\ell_q^p$ Ratio Minimization: Theory and Algorithm
by: Yu, Lang, et al.
Published: (2026)
by: Yu, Lang, et al.
Published: (2026)
Multilevel inserting constructions for constant dimension subspace codes
by: Wang, Gang, et al.
Published: (2025)
by: Wang, Gang, et al.
Published: (2025)
Minimal simplicial degree $d$ self-maps of $\mathbb{S}^{n-1}\times \mathbb{S}^1$
by: Agarwal, Anshu, et al.
Published: (2024)
by: Agarwal, Anshu, et al.
Published: (2024)
Transformed $\ell_p$ Minimization Model and Sparse Signal Recovery
by: Li, Ziwei, et al.
Published: (2026)
by: Li, Ziwei, et al.
Published: (2026)
Coded Distributed (Batch) Matrix Multiplication over Galois Ring via RMFE
by: Kuang, Yi, et al.
Published: (2024)
by: Kuang, Yi, et al.
Published: (2024)
Construction of Minimal Ternary Linear Codes with Dimension $m+2$ Via Krawtchouk Polynomials
by: Liu, Haibo, et al.
Published: (2026)
by: Liu, Haibo, et al.
Published: (2026)
Certain squarefree levels of reducible modular mod$\,\ell$ Galois representations
by: Kumar, Arvind, et al.
Published: (2024)
by: Kumar, Arvind, et al.
Published: (2024)
A new class of S-boxes with optimal Feistel boomerang uniformity
by: Lu, Yuxuan, et al.
Published: (2024)
by: Lu, Yuxuan, 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)
by: Wang, Zheng, et al.
Published: (2025)
Convergence Rates for $\ell_p$ Norm Minimization in Convex Vector Optimization
by: Alshahrani, Mohammed
Published: (2026)
by: Alshahrani, Mohammed
Published: (2026)
Sustainable Photoelectrochemical Geminal α‐Fluorosulfenylation of Diazo Compounds through Carbene Radical Anion Intermediate
by: Rajib Maity, et al.
Published: (2025)
by: Rajib Maity, et al.
Published: (2025)
Formation to Transportation: En‐Route Fission‐Facilitated Formation of Spheres in a Phosphorus‐Based Porous Organic Polymer for Transportation of Iodine
by: Pramod Kumar, et al.
Published: (2024)
by: Pramod Kumar, et al.
Published: (2024)
Numerically Computing Galois Groups of Minimal Problems
by: Duff, Timothy
Published: (2025)
by: Duff, Timothy
Published: (2025)
The Defining Characteristic Case of the Representations of $\mathrm{GL}_{n}$ and $\mathrm{SL}_{n}$ over Principal Ideal Local Rings
by: Monteiro, Nariel
Published: (2024)
by: Monteiro, Nariel
Published: (2024)
Minimal Simplicial Degree $d$ Maps from Genus $g$ Surfaces to the Torus
by: Basak, Biplab, et al.
Published: (2025)
by: Basak, Biplab, et al.
Published: (2025)
Representing Piecewise-Linear Functions by Functions with Minimal Arity
by: Koutschan, Christoph, et al.
Published: (2024)
by: Koutschan, Christoph, et al.
Published: (2024)
Blockchain-Envisioned Post-Quantum Secure Sanitizable Signature for Audit Logs Management
by: Srivastava, Vikas, et al.
Published: (2023)
by: Srivastava, Vikas, et al.
Published: (2023)
Minimal Mahler Measure in Quartic Galois Number Fields
by: Paudel, Bishnu, et al.
Published: (2025)
by: Paudel, Bishnu, et al.
Published: (2025)
Quasi-recursive MDS Matrices over Galois Rings
by: Ali, Shakir, et al.
Published: (2025)
by: Ali, Shakir, et al.
Published: (2025)
Cobalt‐Catalyzed Enantioselective Reductive Coupling of Imines and Internal Alkynes
by: Kakoli Maji, et al.
Published: (2025)
by: Kakoli Maji, et al.
Published: (2025)
Cobalt‐Catalyzed Enantioselective Reductive Coupling of Imines and Internal Alkynes
by: Kakoli Maji, et al.
Published: (2025)
by: Kakoli Maji, et al.
Published: (2025)
Minimizing Submodular Functions over Hierarchical Families
by: Mizutani, Ryuhei
Published: (2026)
by: Mizutani, Ryuhei
Published: (2026)
Soft Computing Tools To Predict Varied Weight Components, Material and Tribological Properties of Al2219-B4C-Gr
by: Chatterjee, Maitreyi, et al.
Published: (2025)
by: Chatterjee, Maitreyi, et al.
Published: (2025)
Similar Items
-
Linear Codes Derived from the Structure of Unit Graphs Over $\mathbb{Z}_n$
by: Sarkar, Apurba, et al.
Published: (2025) -
On two-dimensional minimal linear codes over the rings $\mathbb{Z}_{p^n}$
by: Chatterjee, Biplab, et al.
Published: (2023) -
Generalization the parameters of minimal linear codes over the ring $\mathbb{Z}_{p^l}$ and $\mathbb{Z}_{{p_1}{p_2}}$
by: Chatterjee, Biplab, et al.
Published: (2024) -
On Construction of Linear (Euclidean) Hull Codes over Finite Extensions Binary Fields
by: Bhowmick, Sanjit, et al.
Published: (2025) -
Characterizations of a Class of Planar Functions over Finite Fields
by: Chen, Ruikai, et al.
Published: (2023)