Constructions of binary self-orthogonal singly-even minimal linear codes violating the Aschikhmin-Barg condition with few weights
Fuente:
arXiv
Saved in:
| Main Authors: | Li, Kangquan, Chen, Hao, Jin, Wengang, Qu, Longjiang |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Several new classes of self-orthogonal minimal linear codes violating the Ashikhmin-Barg condition
by: Jin, Wengang, et al.
Published: (2025)
by: Jin, Wengang, et al.
Published: (2025)
Balanced Boolean functions with few-valued Walsh spectra parameterized by $P(x^2+x)$
by: Zhang, Qiancheng, et al.
Published: (2025)
by: Zhang, Qiancheng, et al.
Published: (2025)
Constructing rotatable permutations of $\mathbb{F}_{2^m}^3$ with $3$-homogeneous functions
by: Chi, Yunwen, et al.
Published: (2024)
by: Chi, Yunwen, et al.
Published: (2024)
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)
by: Li, Yaqin, et al.
Published: (2025)
Shortest self-orthogonal embeddings of binary linear codes
by: An, Junmin, et al.
Published: (2025)
by: An, Junmin, et al.
Published: (2025)
Optimal linear codes with few weights from simplicial complexes
by: Chen, Bing, et al.
Published: (2024)
by: Chen, Bing, et al.
Published: (2024)
Several classes of linear codes with few weights derived from Weil sums
by: Hu, Zhao, et al.
Published: (2025)
by: Hu, Zhao, et al.
Published: (2025)
A new class of self-orthogonal linear codes and their applications
by: Zhang, Yaozong, et al.
Published: (2023)
by: Zhang, Yaozong, et al.
Published: (2023)
On the weight distribution of random binary linear codes
by: Linial, Nati, et al.
Published: (2018)
by: Linial, Nati, et al.
Published: (2018)
Symplectic self-orthogonal quasi-cyclic codes
by: Guan, Chaofeng, et al.
Published: (2022)
by: Guan, Chaofeng, et al.
Published: (2022)
On Galois self-orthogonal algebraic geometry codes
by: Ding, Yun, et al.
Published: (2023)
by: Ding, Yun, et al.
Published: (2023)
New record-breaking binary linear codes constructed from group codes
by: Yu, Cong, et al.
Published: (2024)
by: Yu, Cong, et al.
Published: (2024)
A class of locally differentially $4$-uniform power functions with Niho exponents
by: Yan, Haode, et al.
Published: (2026)
by: Yan, Haode, et al.
Published: (2026)
Repairing Schemes for Tamo-Barg Codes
by: Cai, Han, et al.
Published: (2023)
by: Cai, Han, et al.
Published: (2023)
Minimal Linear Codes Violating the Ashikhmin-Barg Condition from Arbitrary Projective Linear Codes
by: Chen, Hao, et al.
Published: (2025)
by: Chen, Hao, et al.
Published: (2025)
A family of self-orthogonal divisible codes with locality 2
by: Heng, Ziling, et al.
Published: (2024)
by: Heng, Ziling, et al.
Published: (2024)
Infinitely many families of distance-optimal binary linear codes with respect to the sphere packing bound
by: Chen, Hao, et al.
Published: (2025)
by: Chen, Hao, et al.
Published: (2025)
Some three-weight linear codes and their complete weight enumerators and weight hierarchies
by: Li, Xiumei, et al.
Published: (2024)
by: Li, Xiumei, et al.
Published: (2024)
Recursive construction and enumeration of self-orthogonal and self-dual codes over finite commutative chain rings of even characteristic
by: Yadav, Monika, et al.
Published: (2025)
by: Yadav, Monika, et al.
Published: (2025)
On the suboptimality of linear codes for binary distributed hypothesis testing
by: Girish, Adway, et al.
Published: (2026)
by: Girish, Adway, et al.
Published: (2026)
Galois self-orthogonal MDS codes with large dimensions
by: Wan, Ruhao, et al.
Published: (2024)
by: Wan, Ruhao, et al.
Published: (2024)
The weight hierarchies of three classes of linear codes
by: Lu, Wei, et al.
Published: (2024)
by: Lu, Wei, et al.
Published: (2024)
Weight distributions of two classes of linear codes with few weights derived from Weil sums
by: Bose, Mrinal Kanti, et al.
Published: (2025)
by: Bose, Mrinal Kanti, et al.
Published: (2025)
A recursive approach to the construction and enumeration of self-orthogonal and self-dual codes over finite commutative chain rings of even characteristic
by: Yadav, Monika, et al.
Published: (2025)
by: Yadav, Monika, et al.
Published: (2025)
Algorithms of self-synchronizing single-deletion-correcting codes
by: Choi, Whan-Hyuk
Published: (2026)
by: Choi, Whan-Hyuk
Published: (2026)
Classification of ternary maximal self-orthogonal codes of length 25
by: Araya, Makoto, et al.
Published: (2026)
by: Araya, Makoto, 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)
by: Wang, Zhexin, et al.
Published: (2025)
Self-orthogonal and self-dual codes from maximal curves
by: Wang, Puyin, et al.
Published: (2025)
by: Wang, Puyin, et al.
Published: (2025)
Constructions of locally repairable codes via concatenated codes
by: Jin, Hengfeng, et al.
Published: (2026)
by: Jin, Hengfeng, et al.
Published: (2026)
New bounds on the covering radius of orthogonal arrays of even strength
by: Boyvalenkov, Peter, et al.
Published: (2026)
by: Boyvalenkov, Peter, et al.
Published: (2026)
Self-orthogonal codes from plateaued functions
by: Wang, Peng, et al.
Published: (2024)
by: Wang, Peng, et al.
Published: (2024)
Quaternary codes and their binary images
by: Wu, Yansheng, et al.
Published: (2024)
by: Wu, Yansheng, et al.
Published: (2024)
Self-orthogonal codes from plateaued functions and their applications in quantum codes and LCD codes
by: Wei, Yadi, et al.
Published: (2025)
by: Wei, Yadi, et al.
Published: (2025)
Several classes of three-weight or four-weight linear codes
by: Liao, Qunying, et al.
Published: (2025)
by: Liao, Qunying, et al.
Published: (2025)
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)
by: Kiermaier, Michael, et al.
Published: (2015)
Minimum distances of binary optimal LCD codes of dimension five are completely determined
by: Liu, Yang, et al.
Published: (2022)
by: Liu, Yang, et al.
Published: (2022)
Complete weight enumerators and weight hierarchies for linear codes from quadratic forms
by: Li, Xiumei, et al.
Published: (2025)
by: Li, Xiumei, et al.
Published: (2025)
Shortest LCD embeddings of binary, ternary and quaternary linear codes
by: An, Junmin, et al.
Published: (2026)
by: An, Junmin, et al.
Published: (2026)
On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes
by: Galindo, Carlos, et al.
Published: (2020)
by: Galindo, Carlos, et al.
Published: (2020)
Probabilistic verification algorithm for linear codes
by: Li, Mingchao, et al.
Published: (2026)
by: Li, Mingchao, et al.
Published: (2026)
Similar Items
-
Several new classes of self-orthogonal minimal linear codes violating the Ashikhmin-Barg condition
by: Jin, Wengang, et al.
Published: (2025) -
Balanced Boolean functions with few-valued Walsh spectra parameterized by $P(x^2+x)$
by: Zhang, Qiancheng, et al.
Published: (2025) -
Constructing rotatable permutations of $\mathbb{F}_{2^m}^3$ with $3$-homogeneous functions
by: Chi, Yunwen, et al.
Published: (2024) -
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) -
Shortest self-orthogonal embeddings of binary linear codes
by: An, Junmin, et al.
Published: (2025)