Cover Image

The Closure of LCD-to-GI Reductions via Generalized Inner Products

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Ishizuka, Keita
Format:	Preprint
Published:	2026
Subjects:	Information Theory Combinatorics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Binary Caps and LCD Codes with Large Dimensions
by: Ishizuka, Keita, et al.
Published: (2026)

Binary LCD Codes and Their Graph Representations
by: Ishizuka, Keita
Published: (2024)

Constructions of self-orthogonal and LCD subspace codes
by: Crnković, Dean, et al.
Published: (2024)

Generalized Information Inequalities via Submodularity, and Two Combinatorial Problems
by: Jakhar, Gunank, et al.
Published: (2026)

On Lattice Isomorphism Problems for Lattices from LCD Codes over Finite Rings
by: Nishimura, Yusaku, et al.
Published: (2025)

Comparative monotonicity of linear codes by Hermitian and symplectic hull dimensions
by: Ishizuka, Keita
Published: (2026)

Generalized graph codes and thier minimum distances
by: Fujii, Naoki
Published: (2025)

Generalized Orthogonal de Bruijn and Kautz Sequences
by: Chen, Yuan-Pon, et al.
Published: (2025)

Edge inducibility via local directed graphs
by: Chao, Ting-Wei, et al.
Published: (2025)

Universal Costas Matrices: Towards a General Framework for Costas Array Construction
by: Gulec, Fatih, et al.
Published: (2026)

On Zero Skip-Cost Generalized Fractional-Repetition Codes from Covering Designs
by: Yu, Wenjun, et al.
Published: (2025)

Constrained coding upper bounds via Goulden-Jackson cluster theorem
by: Shen, Yuanting, et al.
Published: (2024)

Explicit Folded Reed-Solomon and Multiplicity Codes Achieve Relaxed Generalized Singleton Bounds
by: Chen, Yeyuan, et al.
Published: (2024)

From Random to Explicit via Subspace Designs With Applications to Local Properties and Matroids
by: Brakensiek, Joshua, et al.
Published: (2025)

Explicit Rank Extractors and Subspace Designs via Function Fields, with Applications to Strong Blocking Sets
by: Guo, Zeyu, et al.
Published: (2026)

A Generic Construction of $q$-ary Near-MDS Codes Supporting 2-Designs with Lengths Beyond $q+1$
by: Liu, Hengfeng, et al.
Published: (2025)

Information Inequalities via Ideas from Additive Combinatorics
by: Lau, Chin Wa, et al.
Published: (2023)

Understanding the ratio of the partition sum to its Bethe approximation via double covers
by: Vontobel, Pascal O.
Published: (2025)

Coded Information Retrieval for Block-Structured DNA-Based Data Storage
by: Bar-Lev, Daniella
Published: (2026)

Triprojective almost perfect nonlinear permutations and functions
by: Göloğlu, Faruk, et al.
Published: (2026)

On the Number of Subsequences in the Nonbinary Deletion Channel
by: Li, Han, et al.
Published: (2026)

Intersecting Codes and the Connectivity of $q$-Matroids
by: Conca, Fabrizio, et al.
Published: (2026)

Optimal codes and arcs for the generalized Hamming weights
by: Kurz, Sascha, et al.
Published: (2026)

Error-detecting solid codes
by: Carruth, Nathan Thomas
Published: (2026)

Turán-Theoretic Bounds on Several Elementary Trapping Sets in LDPC Codes
by: Zhao, Ziyang, et al.
Published: (2026)

A generalization of Boppana's entropy inequality
by: Ho, Boon Suan
Published: (2026)

Improved Rate-versus-Distance Upper Bounds for LDPC Codes
by: Shangguan, Chong, et al.
Published: (2026)

On the independence number of de Bruijn graphs
by: Majer, Pietro, et al.
Published: (2026)

The constructions of Singleton-optimal locally repairable codes with minimum distance 6 and locality 3
by: Xiong, Yanzhen, et al.
Published: (2026)

Maximal Recoverability: A Nexus of Coding Theory
by: Brakensiek, Joshua, et al.
Published: (2026)

On the existence of linear rank-metric intersecting codes
by: Borello, Martino, et al.
Published: (2026)

Semidefinite and linear programming bounds for sum-rank-metric codes and non-existence results
by: Abiad, Aida, et al.
Published: (2026)

Symmetric Tensor Decompositions over Finite Fields
by: Cotardo, Giuseppe, et al.
Published: (2026)

Improved Johnson-type Bounds for Insertion-Deletion Codes
by: Yang, Yulin
Published: (2026)

Geometric construction of k-optimal locally repairable codes
by: Fu, Yi, et al.
Published: (2026)

Double-Cover-Based Analysis of the Bethe Permanent of Block-Structured Positive Matrices
by: Wu, Binghong, et al.
Published: (2026)

The DNA Coverage Depth Problem: Duality, Weight Distributions, and Applications
by: Bertuzzo, Matteo, et al.
Published: (2026)

On the Computation Rate of All-Reduce
by: Zhou, Yufeng, et al.
Published: (2026)

Nonvanishing $k$-flats of Boolean and vectorial functions
by: Kaspers, Christian
Published: (2026)

Counterexamples, Constructions, and Nonexistence Results for Optimal Ternary Cyclic Codes
by: Bao, Jingjun, et al.
Published: (2026)