Latest Articles for Coding Theory

Information Theory Advances in Error-Correcting Code Construction

Research showcases concatenated codes aimed at the Gilbert-Varshamov bound.

2025-07-26T12:02:28+00:00 ― 6 min read

Information Theory Advancements in Error-Correcting Codes

Examining list-decodability and list-recoverability in coding theory.

2025-07-20T10:58:32+00:00 ― 6 min read

Information Theory Advancing LDPC Decoding Techniques for 5G

New methods enhance LDPC decoding performance in 5G networks.

2025-07-15T13:52:28+00:00 ― 5 min read

Combinatorics Advancements in Sum-Rank Metric Codes

Research proposes new bounds for sum-rank metric codes using linear programming.

2025-07-15T02:57:03+00:00 ― 5 min read

Information Theory The Role of Completely Decomposable Codes in Data Transmission

An overview of completely decomposable codes and their applications in coding theory.

2025-07-13T11:37:33+00:00 ― 5 min read

Information Theory The Role of Hyper-Bent Functions in Cryptography

Exploring the significance of hyper-bent functions in enhancing cryptographic security.

2025-07-11T06:19:07+00:00 ― 4 min read

Algebraic Geometry Unipotent Numerical Monoids: A Mathematical Overview

This article explores the properties and applications of unipotent numerical monoids.

2025-07-09T03:11:46+00:00 ― 4 min read

Combinatorics Connecting Codes and Graphs: Insights Revealed

Explore how binary LCD codes relate to graph theory in information technology.

2025-07-07T09:14:58+00:00 ― 4 min read

Combinatorics Error-Correcting Codes: A Deep Dive

Exploring the role of error-correcting codes in reliable communication systems.

2025-07-06T03:32:14+00:00 ― 7 min read

Quantum Physics Advancements in Quantum Error Correction with Constacyclic BCH Codes

Exploring constacyclic BCH codes for effective quantum error correction.

2025-07-04T01:32:27+00:00 ― 4 min read

Combinatorics Nonabelian Difference Sets: Expanding Mathematical Horizons

Research explores nonabelian difference sets, revealing potential for new applications.

2025-06-30T14:42:22+00:00 ― 5 min read

Information Theory Understanding Binary Shadow Codes in Error Correction

A look into binary shadow codes and their role in data transmission.

2025-06-20T10:01:02+00:00 ― 5 min read

Combinatorics Understanding Lee Distance Codes in Communication Systems

A look into Lee distance codes and their role in error correction.

2025-06-19T02:07:13+00:00 ― 5 min read

Combinatorics Advancements in Binary Linear Codes from Inclusion Matrices

This study investigates binary linear codes and their error-correcting capabilities using inclusion matrices.

2025-06-18T02:31:31+00:00 ― 4 min read

Computational Complexity Advancements in Local List-Decoding Techniques

Research on local list-decoding reveals new insights into reliable message transmission.

2025-06-17T15:43:18+00:00 ― 4 min read

Information Theory Advancements in Reed-Muller Code Decoding

New techniques improve decoding efficiency of Reed-Muller error-correcting codes.

2025-06-11T08:51:21+00:00 ― 5 min read

Number Theory Understanding Abelian Varieties Over Finite Fields

An accessible guide to abelian varieties in mathematics and their significance.

2025-06-07T23:08:50+00:00 ― 4 min read

Commutative Algebra New Insights into Coding Weights and Their Relationships

A fresh approach to understanding weights in coding theory.

2025-06-05T09:58:30+00:00 ― 6 min read

Information Theory Examining Perfect Hermitian Rank-Metric Codes

This article investigates the existence of perfect Hermitian rank-metric codes.

2025-06-01T15:31:39+00:00 ― 5 min read

Number Theory Intersecting Families of Polynomials in Finite Fields

Exploring properties and sizes of k-intersecting polynomial families over finite fields.

2025-06-01T06:47:19+00:00 ― 5 min read

Number Theory Ramanujan Sums: New Insights in Mathematics

Discover the significance of Ramanujan sums and their applications in coding theory.

2025-05-29T21:04:24+00:00 ― 6 min read

History and Overview The Role of Minimal Codes in Secure Communication

Minimal codes ensure efficient and secure message transmission.

2025-05-27T03:25:37+00:00 ― 6 min read

Information Theory Understanding Permutation Codes and Their Importance

Learn how permutation codes improve digital communication despite missing letters.

2025-05-20T02:35:32+00:00 ― 5 min read

Information Theory Understanding Bivariate Linear Operator Codes

A look into advanced coding techniques for reliable communication.

2025-05-02T01:38:56+00:00 ― 5 min read

Information Theory The Significance of Rank-Metric Codes in Data Security

Discover the role of rank-metric codes in modern data protection and communication.

2025-04-24T00:33:42+00:00 ― 6 min read

Information Theory Reed-Muller Codes: The Future of Error Correction

Discover how Reed-Muller codes improve data transmission in noisy environments.

2025-03-13T05:17:50+00:00 ― 6 min read

Information Theory Revolutionizing Data Correction: The Power of Constacyclic Codes

Learn how two-dimensional constacyclic codes improve data transmission and error correction.

2025-03-08T02:45:30+00:00 ― 5 min read

Information Theory The World of Coding Theory: Keeping Messages Safe

Discover how coding theory secures our communications using linear codes and more.

2025-02-15T21:55:50+00:00 ― 6 min read

Quantum Physics Strengthening Quantum Error Correction with Entanglement

Learn how entanglement assists in improving quantum error-correcting codes.

2025-02-08T09:26:00+00:00 ― 6 min read

Information Theory Unlocking the Mystery of Polycyclic Codes

Discover how polycyclic codes enhance data protection in communication.

2025-01-29T06:22:20+00:00 ― 6 min read