Cover Image

Multiset Deletion-Correcting Codes: Bounds and Constructions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kreindel, Avraham, Essayag, Isaac Barouch, Zabokritskiy, Aryeh Lev
Format:	Preprint
Published:	2026
Subjects:	Information Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Polynomial Constructions and Deletion-Ball Geometry for Multiset Deletion Codes
by: Kreindel, Avraham, et al.
Published: (2026)

Optimal Functional $2^{s-1}$-Batch Codes: Exploring New Sufficient Conditions
by: Yohananov, Lev, et al.
Published: (2025)

Color Multiset Codes based on Sunmao Construction
by: Wong, Wing Shing, et al.
Published: (2025)

Upper Bounds on Multiple $b$-Burst Deletion-Correcting Codes
by: Wang, Chen, et al.
Published: (2026)

Criss-Cross Deletion Correcting Codes: Optimal Constructions with Efficient Decoders
by: Sun, Yubo, et al.
Published: (2025)

A New Construction of Non-Binary Deletion Correcting Codes and their Decoding
by: Schaller, Michael, et al.
Published: (2025)

New Construction of $q$-ary Codes Correcting a Burst of at most $t$ Deletions
by: Song, Wentu, et al.
Published: (2024)

Exponential Lower Bounds for Locally Decodable and Correctable Codes for Insertions and Deletions
by: Blocki, Jeremiah, et al.
Published: (2021)

Insertion Correcting Capability for Quantum Deletion-Correcting Codes
by: Nakamura, Ken, et al.
Published: (2026)

Improved Constructions of Linear Codes for Insertions and Deletions
by: Gross, Roee, et al.
Published: (2025)

Two-Insertion/Deletion/Substitution Correcting Codes
by: Pi, Yuhang, et al.
Published: (2024)

Function-Correcting Codes for Insertion-Deletion Channel
by: Singh, Anamika, et al.
Published: (2025)

On the Coding Capacity of Reverse-Complement and Palindromic Duplication-Correcting Codes
by: Yohananov, Lev, et al.
Published: (2023)

Reconstruction Codes for Deletions and Insertions: Connection, Distinction, and Construction
by: Sun, Yubo, et al.
Published: (2025)

Codes Correcting Two Bursts of Exactly $b$ Deletions
by: Ye, Zuo, et al.
Published: (2024)

Error Correcting Codes for Segmented Burst-Deletion Channels
by: Liu, Yajuan, et al.
Published: (2025)

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

Multiset Combinatorial Gray Codes with Application to Proximity Sensor Networks
by: Chen, Chung Shue, et al.
Published: (2024)

Redundancy-Optimal Constructions of $(1,1)$-Criss-Cross Deletion Correcting Codes with Efficient Encoding/Decoding Algorithms
by: Liu, Wenhao, et al.
Published: (2026)

Decoding Algorithm to Composite Errors Consisting of Deletions and Insertions for Quantum Deletion-Correcting Codes Based on Quantum Reed-Solomon Codes
by: Sasaki, Koki, et al.
Published: (2026)

Coding for Composite DNA to Correct Substitutions, Strand Losses, and Deletions
by: Walter, Frederik, et al.
Published: (2024)

Binary Reconstruction Codes for Correcting One Deletion and One Substitution
by: Li, Yuling, et al.
Published: (2025)

DNA-Correcting Codes: End-to-end Correction in DNA Storage Systems
by: Boruchovsky, Avital, et al.
Published: (2023)

Optimal Two-Dimensional Reed--Solomon Codes Correcting Insertions and Deletions
by: Con, Roni, et al.
Published: (2023)

Improved Interactive Protocol for Synchronizing From Deletions
by: Haolun, et al.
Published: (2025)

The Second Generalized Covering Radius of Binary Primitive Double-Error-Correcting BCH Codes
by: Yohananov, Lev, et al.
Published: (2024)

Conditional Entropies of k-Deletion/Insertion Channels
by: Singhvi, Shubhransh, et al.
Published: (2024)

Clique-Based Deletion-Correcting Codes via Penalty-Guided Clique Search
by: Pandav, Aniruddh, et al.
Published: (2026)

Correcting Bursty/Localized Deletions: A New Error-Position-Estimation Code
by: Ye, Zuo, et al.
Published: (2025)

Permutation and Multi-permutation Codes Correcting Multiple Deletions
by: Wang, Shuche, et al.
Published: (2024)

Plotkin-like Bound and Explicit Function-Correcting Code Constructions for Lee Metric Channels
by: K., Hareesh, et al.
Published: (2025)

LLM-Guided Search for Deletion-Correcting Codes
by: Weindel, Franziska, et al.
Published: (2025)

On The Decoding Error Weight of One or Two Deletion Channels
by: Sabary, Omer, et al.
Published: (2022)

Correcting Errors Through Partitioning and Burst-Deletion Correction
by: Sun, Yubo, et al.
Published: (2025)

Error-Correcting Codes for Two Bursts of t1-Deletion-t2-Insertion with Low Computational Complexity
by: Liu, Yajuan, et al.
Published: (2026)

Decoding Algorithm Correcting Single-Insertion Plus Single-Deletion for Non-binary Quantum Codes
by: Nakamura, Ken, et al.
Published: (2024)

Oblivious Deletion Codes
by: Con, Roni, et al.
Published: (2025)

Function-Correcting Codes for Locally Bounded Functions
by: Rajput, Charul, et al.
Published: (2025)

Codes with Large Minimum Distance in Product Codes: Explicit Constructions and Bounds
by: Berman, Amit, et al.
Published: (2026)

Bounds and Constructions of Codes for Ordered Composite DNA Sequences
by: Ye, Zuo, et al.
Published: (2026)