Cover Image

New constructions of $2$-to-$1$ mappings over $\gf_{2^n}$ and their applications to binary linear codes

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Li, Yaqin, Li, Kangquan, Zhang, Qiancheng
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

Balanced Boolean functions with few-valued Walsh spectra parameterized by $P(x^2+x)$
by: Zhang, Qiancheng, et al.
Published: (2025)

Constructions of binary self-orthogonal singly-even minimal linear codes violating the Aschikhmin-Barg condition with few weights
by: Li, Kangquan, et al.
Published: (2025)

New record-breaking binary linear codes constructed from group codes
by: Yu, Cong, et al.
Published: (2024)

Several new classes of self-orthogonal minimal linear codes violating the Ashikhmin-Barg condition
by: Jin, Wengang, et al.
Published: (2025)

A class of locally differentially $4$-uniform power functions with Niho exponents
by: Yan, Haode, et al.
Published: (2026)

Constructing rotatable permutations of $\mathbb{F}_{2^m}^3$ with $3$-homogeneous functions
by: Chi, Yunwen, et al.
Published: (2024)

Quasi-cyclic Hermitian construction of binary quantum codes
by: Lu, Liangdong, et al.
Published: (2022)

New constructions of MSRD codes
by: Martínez-Peñas, Umberto
Published: (2024)

On the suboptimality of linear codes for binary distributed hypothesis testing
by: Girish, Adway, et al.
Published: (2026)

Recursive decoding of binary rank Reed-Muller codes and Plotkin construction for matrix codes
by: Couvreur, Alain, et al.
Published: (2025)

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

On the weight distribution of random binary linear codes
by: Linial, Nati, et al.
Published: (2018)

Smoothing of binary codes, uniform distributions, and applications
by: Pathegama, Madhura, et al.
Published: (2023)

New upper bounds on binary linear codes and a $\mathbb Z_4$-code with a better-than-linear Gray image
by: Kiermaier, Michael, et al.
Published: (2015)

A new approach to construct minimal linear codes over $\mathbb{F}_{3}$
by: Shaikh, Wajid M., et al.
Published: (2024)

On $(θ, Θ)$-cyclic codes and their applications in constructing QECCs
by: Shukla, Awadhesh Kumar, et al.
Published: (2024)

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

A new class of self-orthogonal linear codes and their applications
by: Zhang, Yaozong, et al.
Published: (2023)

Intersection of linear and multi-twisted codes with applications
by: Takieldin, Ramy, et al.
Published: (2025)

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

Polycyclic codes over serial rings and their annihilator CSS construction
by: Bajalan, Maryam, et al.
Published: (2024)

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

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

A framework for constructing non-GRS MDS-NMDS codes from deep holes and its application
by: Li, Yang, et al.
Published: (2026)

On two-dimensional minimal linear codes over the rings $\mathbb{Z}_{p^n}$
by: Chatterjee, Biplab, et al.
Published: (2023)

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

Two families of linear codes with desirable properties from some functions over finite fields
by: Heng, Ziling, et al.
Published: (2024)

Rank-metric codes over arbitrary fields: Bounds and constructions
by: Neri, Alessandro, et al.
Published: (2026)

Generalized bilateral multilevel construction for constant dimension codes from parallel mixed dimension construction
by: Li, Han, et al.
Published: (2025)

New constructions of MDS symbol-pair codes via simple-root cyclic codes
by: Qiu, Rongxing, et al.
Published: (2025)

Optimal binary codes from $\mathcal{C}_{D}$-codes over a non-chain ring
by: Yadav, Ankit, et al.
Published: (2025)

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

Improved bounds and optimal constructions of pure quantum locally recoverable codes
by: Li, Yang, et al.
Published: (2025)

Constructing $(h,d)$ cooperative MSR codes with sub-packetization $(d-k+h)(d-k+1)^{\lceil n/2 \rceil}$
by: Zhang, Zihao, et al.
Published: (2024)

Shortest self-orthogonal embeddings of binary linear codes
by: An, Junmin, et al.
Published: (2025)

Shortest LCD embeddings of binary, ternary and quaternary linear codes
by: An, Junmin, 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)

Asymptotic construction of locally repairable codes with multiple recovering sets
by: Li, Singsong, et al.
Published: (2024)

On the size of maximal binary codes with 2, 3, and 4 distances
by: Barg, Alexander, et al.
Published: (2022)

On the construction of Cauchy MDS matrices over Galois rings via nilpotent elements and Frobenius maps
by: Ali, Shakir, et al.
Published: (2025)