Cover Image

Two families of linear codes with desirable properties from some functions over finite fields

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Heng, Ziling, Li, Xiaoru, Wu, Yansheng, Wang, Qi
Format:	Preprint
Published:	2024
Subjects:	Information Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The augmented codes of a family of linear codes with locality 2
by: Heng, Ziling, et al.
Published: (2024)

More MDS codes of non-Reed-Solomon type
by: Wu, Yansheng, et al.
Published: (2024)

Self-orthogonal codes from plateaued functions
by: Wang, Peng, et al.
Published: (2024)

Designs, linear codes, plateaued functions, and their interconnections
by: Hyun, Jong Yoon, et al.
Published: (2026)

A family of self-orthogonal divisible codes with locality 2
by: Heng, Ziling, et al.
Published: (2024)

Ruled surfaces over finite fields, and some codes over them
by: Blache, Régis, et al.
Published: (2025)

Two classes of LCD BCH codes over finite fields
by: Fu, Yuqing, et al.
Published: (2024)

On the stabilizer of the graph of linear functions over finite fields
by: Smaldore, Valentino, et al.
Published: (2024)

Quaternary codes and their binary images
by: Wu, Yansheng, et al.
Published: (2024)

Large Sets of Quasi-Complementary Sequences From Polynomials over Finite Fields and Gaussian Sums
by: Heng, Ziling, et al.
Published: (2024)

Improvement of the square-root low bounds on the minimum distances of BCH codes and Matrix-product codes
by: Wang, Xiaoqiang, et al.
Published: (2025)

Hybrid Character Sums From Vectorial Dual-Bent Functions and Asymptotically Optimal Complex Codebooks With Small Alphabet Sizes
by: Heng, Ziling, et al.
Published: (2025)

New constructions of asymptotically optimal periodic and aperiodic quasi-complementary sequence sets
by: Wang, Peng, et al.
Published: (2025)

BCH and LCD cyclic codes of length $n=λ(q^m+1)$ over finite fields
by: Liu, Jinle, et al.
Published: (2026)

A family of linear codes that are either non-GRS MDS codes or NMDS codes
by: Li, Yang, et al.
Published: (2024)

Probability of super-regular matrices and MDS codes over finite fields
by: Appuswamy, Rathinakumar, et al.
Published: (2026)

The second-order zero differential spectra of some functions over finite fields
by: Garg, Kirpa, et al.
Published: (2023)

Special matrices over finite fields and their applications to quantum error-correcting codes
by: Cao, Meng
Published: (2024)

On polycyclic linear and additive codes associated to a trinomial over a finite chain ring
by: Chibloun, Abdelghaffar, et al.
Published: (2025)

Infinite families of optimal and minimal codes over rings using simplicial complexes
by: Wu, Yanan, et al.
Published: (2024)

Non-RS type cyclic MDS codes over finite fields via cyclotomic field reduction
by: Xiang, Can, et al.
Published: (2026)

On the second-order zero differential properties of several classes of power functions over finite fields
by: Zhou, Huan, et al.
Published: (2024)

New quantum codes from constacyclic codes over finite chain rings
by: Tang, Yongsheng, et al.
Published: (2024)

On Eisenstein additive codes over chain rings and linear codes over mixed alphabets
by: Jose, Leijo, et al.
Published: (2024)

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)

Code distances: a new family of invariants of linear codes
by: Camps-Moreno, Eduardo, et al.
Published: (2025)

On many-to-one mappings over finite fields
by: Zheng, Yanbin, et al.
Published: (2024)

The Lee weight distributions of several classes of linear codes over $\mathbb{Z}_4$
by: Wang, Zhexin, et al.
Published: (2025)

The dual codes of two families of BCH codes
by: Xu, Haojie, et al.
Published: (2024)

Linear Complementary Dual Codes Constructed from Reinforcement Learning
by: Wu, Yansheng, et al.
Published: (2024)

Infinite families of constacyclic codes supporting 3-designs and their applications in coding theory
by: Hu, Hongsheng, et al.
Published: (2026)

A Survey on Codes from Simplicial Complexes
by: Wu, Yansheng, et al.
Published: (2024)

Griesmer type bounds for additive codes over finite fields, integral and fractional MDS codes
by: Ball, Simeon, et al.
Published: (2024)

Influences of some families of error-correcting codes
by: Egan, Hailey, et al.
Published: (2023)

Linear and cyclic codes over some special rings
by: Flaut, Cristina, et al.
Published: (2026)

New constructions of $2$-to-$1$ mappings over $\gf_{2^n}$ and their applications to binary linear codes
by: Li, Yaqin, et al.
Published: (2025)

On the cross-correlation properties of large-size families of Costas arrays
by: Liu, Runfeng, et al.
Published: (2025)

Probabilistic verification algorithm for linear codes
by: Li, Mingchao, et al.
Published: (2026)

Infinitely many families of distance-optimal binary linear codes with respect to the sphere packing bound
by: Chen, Hao, et al.
Published: (2025)

Shape enumerators of self-dual NRT codes over finite fields
by: Chen, Yin, et al.
Published: (2024)