Apparent Distance and a Notion of BCH Multivariate Codes
Fuente:
arXiv
Saved in:
| Main Authors: | Bernal, José Joaquín, Bueno-Carreño, Diana H., Simón, Juan Jacobo |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Cyclic and BCH Codes whose Minimum Distance Equals their Maximum BCH bound
by: Bernal, José Joaquín, et al.
Published: (2024)
by: Bernal, José Joaquín, et al.
Published: (2024)
Constructions of Abelian Codes multiplying dimension of cyclic codes
by: Bernal, José Joaquín, et al.
Published: (2024)
by: Bernal, José Joaquín, et al.
Published: (2024)
Information sets from defining sets for Reed-Muller codes of first and second order
by: Bernal, José Joaquín, et al.
Published: (2024)
by: Bernal, José Joaquín, et al.
Published: (2024)
A new approach to the Berlekamp-Massey-Sakata Algorithm. Improving Locator Decoding
by: Bernal, José Joaquín, et al.
Published: (2024)
by: Bernal, José Joaquín, et al.
Published: (2024)
Permutation decoding of first-order Generalized Reed-Muller codes
by: Bernal, José Joaquín, et al.
Published: (2025)
by: Bernal, José Joaquín, et al.
Published: (2025)
On the Minimum Distances of Some Families of BCH Codes
by: Chen, Yaqi, et al.
Published: (2026)
by: Chen, Yaqi, et al.
Published: (2026)
On the Minimum Distances of Some Families of Goppa Codes and BCH Codes
by: Chen, Yaqi, et al.
Published: (2026)
by: Chen, Yaqi, et al.
Published: (2026)
An intrinsical description of group codes
by: Bernal, José Joaquín, et al.
Published: (2024)
by: Bernal, José Joaquín, et al.
Published: (2024)
Quasi-BP for BCH Codes and its Optimization
by: Li, Guangwen
Published: (2026)
by: Li, Guangwen
Published: (2026)
The Exact Parameters of A Family of BCH Codes
by: Sun, Zhonghua
Published: (2025)
by: Sun, Zhonghua
Published: (2025)
A Structural Characterization of Cyclotomic Cosets with Applications to Affine-Invariant Codes and BCH Codes
by: Zheng, Xiongkun, et al.
Published: (2026)
by: Zheng, Xiongkun, et al.
Published: (2026)
The Generating Idempotent Is a Minimum-Weight Codeword for Some Binary BCH Codes
by: Shany, Yaron, et al.
Published: (2024)
by: Shany, Yaron, et al.
Published: (2024)
Performance-Complexity-Latency Trade-offs of Concatenated RS-BCH Codes
by: Sukmadji, Alvin Y., et al.
Published: (2024)
by: Sukmadji, Alvin Y., et al.
Published: (2024)
Effective Application of Normalized Min-Sum Decoding for Short BCH Codes
by: Li, Guangwen, et al.
Published: (2024)
by: Li, Guangwen, et al.
Published: (2024)
On the Error Rate of Binary BCH Codes under Error-and-erasure Decoding
by: Miao, Sisi, et al.
Published: (2025)
by: Miao, Sisi, et al.
Published: (2025)
On the Performance of Short Binary BCH Codes for Ultra-Low Latency Wireless Communications
by: Morelos-Zaragoza, Robert, et al.
Published: (2024)
by: Morelos-Zaragoza, Robert, et al.
Published: (2024)
The Second Generalized Covering Radius of Binary Primitive Double-Error-Correcting BCH Codes
by: Yohananov, Lev, et al.
Published: (2024)
by: Yohananov, Lev, et al.
Published: (2024)
Efficient Algorithms for Constructing Minimum-Weight Codewords in Some Extended Binary BCH Codes
by: Berman, Amit, et al.
Published: (2023)
by: Berman, Amit, et al.
Published: (2023)
Quantum $(r,δ)$-Locally Recoverable BCH and Homothetic-BCH Codes
by: Galindo, Carlos, et al.
Published: (2026)
by: Galindo, Carlos, et al.
Published: (2026)
Generalized Reed-Muller codes: A new construction of information sets
by: Bernal, José Joaquín
Published: (2024)
by: Bernal, José Joaquín
Published: (2024)
Quantum Constacyclic BCH Codes over Qudits: A Spectral-Domain Approach
by: Patel, Shikha, et al.
Published: (2024)
by: Patel, Shikha, et al.
Published: (2024)
The dual codes of two families of BCH codes
by: Xu, Haojie, et al.
Published: (2024)
by: Xu, Haojie, et al.
Published: (2024)
The dual codes of two classes of LCD BCH codes
by: Fu, Yuqing, et al.
Published: (2024)
by: Fu, Yuqing, et al.
Published: (2024)
New quantum codes from homothetic-BCH codes
by: Galindo, Carlos, et al.
Published: (2025)
by: Galindo, Carlos, et al.
Published: (2025)
Iterative decoding of short BCH codes and its post-processing
by: Li, Guangwen, et al.
Published: (2024)
by: Li, Guangwen, et al.
Published: (2024)
Two classes of LCD BCH codes over finite fields
by: Fu, Yuqing, et al.
Published: (2024)
by: Fu, Yuqing, et al.
Published: (2024)
The minimum distance of the antiprimitive BCH code with designed distance 3
by: Xu, Haojie, et al.
Published: (2025)
by: Xu, Haojie, et al.
Published: (2025)
The dimension and Bose distance of certain primitive BCH codes
by: Zheng, Run, et al.
Published: (2025)
by: Zheng, Run, et al.
Published: (2025)
A Note on the Theoretical Support to Compute Dimension in Abelian Codes
by: Bernal, J. J., et al.
Published: (2025)
by: Bernal, J. J., et al.
Published: (2025)
On generalized covering radii of binary primitive double-error-correcting BCH codes
by: Xiong, Maosheng, et al.
Published: (2026)
by: Xiong, Maosheng, et al.
Published: (2026)
Generalized Skew Multivariate Goppa Codes
by: Berardini, Elena, et al.
Published: (2026)
by: Berardini, Elena, et al.
Published: (2026)
Several classes of BCH codes of length $n=\frac{q^{m}-1}{2}$
by: Lian, Mengchen
Published: (2024)
by: Lian, Mengchen
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)
by: Wang, Xiaoqiang, 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)
by: Liu, Jinle, et al.
Published: (2026)
Function-Correcting Codes with Homogeneous Distance
by: Liu, Huiying, et al.
Published: (2025)
by: Liu, Huiying, et al.
Published: (2025)
Quasi-Perfect and Distance-Optimal Codes Sum-Rank Codes
by: Chen, Hao
Published: (2024)
by: Chen, Hao
Published: (2024)
The dimension and Bose distance of some BCH codes of length $\frac{q^{m}-1}λ$
by: Zheng, Run, et al.
Published: (2025)
by: Zheng, Run, et al.
Published: (2025)
Generalized Multivariate Polynomial Codes for Distributed Matrix-Matrix Multiplication
by: Gómez-Vilardebó, Jesús, et al.
Published: (2024)
by: Gómez-Vilardebó, Jesús, et al.
Published: (2024)
Codes with Large Minimum Distance in Product Codes: Explicit Constructions and Bounds
by: Berman, Amit, et al.
Published: (2026)
by: Berman, Amit, et al.
Published: (2026)
Algorithms for Computing the Free Distance of Convolutional Codes
by: Abreu, Zita, et al.
Published: (2024)
by: Abreu, Zita, et al.
Published: (2024)
Similar Items
-
Cyclic and BCH Codes whose Minimum Distance Equals their Maximum BCH bound
by: Bernal, José Joaquín, et al.
Published: (2024) -
Constructions of Abelian Codes multiplying dimension of cyclic codes
by: Bernal, José Joaquín, et al.
Published: (2024) -
Information sets from defining sets for Reed-Muller codes of first and second order
by: Bernal, José Joaquín, et al.
Published: (2024) -
A new approach to the Berlekamp-Massey-Sakata Algorithm. Improving Locator Decoding
by: Bernal, José Joaquín, et al.
Published: (2024) -
Permutation decoding of first-order Generalized Reed-Muller codes
by: Bernal, José Joaquín, et al.
Published: (2025)