- Hulls of Projective Reed-Muller Codes
2024/06/07 by Kaplan, Nathan, Kim, Jon-Lark · 1 citation
#11T06 #11T71 #94B60 #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #Information Theory (cs.IT)
- Practical Considerations in Repairing Reed-Solomon Codes
2022/05/23 by Dinh, Thi Xinh, Nguyen, Luu Y Nhi, Mohan, Lakshmi J. +3 · 2 citations
#94B05 #94B60 #E.4 #FOS: Computer and information sciences #Information Theory (cs.IT)
- Minimum Distance and Parameter Ranges of Locally Recoverable Codes with Availability from Fiber Products of Curves
2022/04/07 by Chara, María, Kottler, Sam, Malmskog, Beth +2 · 1 citation
#11T71 #14H05 #94B60 #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Number Theory (math.NT)
- Weight Spectra of Gabidulin Rank-metric Codes and Betti Numbers
2021/06/21 by Johnsen, Trygve, Pratihar, Rakhi, Verdure, Hugues · 1 citation
#05B35 #11T71 #94B60 #Combinatorics (math.CO) #FOS: Mathematics
- Function-Correcting Codes
2021/02/05 by Andreas Lenz, Lenz, Andreas, Rawad Bitar +5 · 5 citations
Computer Science · Engineering · #94B60 #Coding theory and cryptography #E.4 #FOS: Computer and information sciences #Information Theory (cs.IT) #Radiation Effects in Electronics #VLSI and Analog Circuit Testing
- New Constructions of Optimal Locally Repairable Codes with Super-Linear Length
2020/12/30 by Xiangliang Kong, Kong, Xiangliang, Xin Wang +3 · 5 citations
Computer Science · #94B60 #Advanced Data Storage Technologies #Caching and Content Delivery #Cellular Automata and Applications #E.4 #FOS: Computer and information sciences #Information Theory (cs.IT)
- Distance Distributions of Cyclic Orbit Codes
2019/12/11 by Gluesing-Luerssen, Heide, Lehmann, Hunter · 1 citation
#11T71 #94B60 #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT)
- Primitive Idempotents and Constacyclic Codes over Finite Chain Rings
2019/08/16 by Charkani, Mohammed Elhassani, Kabore, Joël · 1 citation
#16P10 #94B05 #94B60 #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Rings and Algebras (math.RA)
- Constructions of optimal rank-metric codes from automorphisms of rational function fields
2019/07/11 by Rakhi Pratihar, Tovohery Hajatiana Randrianarisoa, Pratihar, Rakhi +1 · 1 citation
Computer Science · Mathematics · #15A03 #94B05 #94B60 #Coding theory and cryptography #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Finite Group Theory Research #Information Theory (cs.IT)
- A Polymatroid Approach to Generalized Weights of Rank Metric Codes
2019/04/03 by Ghorpade, Sudhir R., Johnsen, Trygve · 2 citations
#05B35 #15A03 #94B60 #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT)
- On Z2Z4-additive complementary dual codes and related LCD codes
2019/03/19 by Nasreddine Benbelkacem, Benbelkacem, Nasreddine, Joaquim Borges +5 · 1 citation
Computer Science · Engineering · #94B25 #94B60 #Coding theory and cryptography #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT) #graph theory and CDMA systems
- Coding over Sets for DNA Storage
2018/12/07 by Lenz, Andreas, Siegel, Paul H., Wachter-Zeh, Antonia +1 · 2 citations
#94B60 #FOS: Computer and information sciences #Information Theory (cs.IT)
- Maximal Ferrers Diagram Codes: Constructions and Genericity\n Considerations
2018/04/02 by Jared Antrobus, Antrobus, Jared, Heide Gluesing-Luerssen +1 · 4 citations
Computer Science · Engineering · #15A03 #15B52 #94B60 #Coding theory and cryptography #Combinatorics (math.CO) #Cooperative Communication and Network Coding #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #graph theory and CDMA systems
- Some Generalizations of Good Integers and Their Applications in the\n Study of Self-Dual Negacyclic Codes
2018/01/14 by Supawadee Prugsapitak, Somphong Jitman, Prugsapitak, Supawadee +3 · 3 citations
Computer Science · Engineering · Mathematics · Social Sciences · #11N25 #94B15 #94B60 #Coding theory and cryptography #FOS: Computer and information sciences #FOS: Mathematics #Finite Group Theory Research #Information Theory (cs.IT) #Islamic Finance and Communication #Number Theory (math.NT) #graph theory and CDMA systems
- Duplication-Correcting Codes
2017/12/24 by Lenz, Andreas, Wachter-Zeh, Antonia, Yaakobi, Eitan · 2 citations
#94B20 #94B60 #94B65 #FOS: Computer and information sciences #Information Theory (cs.IT)
- Matrix-Product Constructions for Hermitian Self-Orthogonal Codes
2017/10/13 by Somphong Jitman, Todsapol Mankean, Jitman, Somphong +1 · 1 citation
Computer Science · Engineering · #94B05 #94B60 #Advanced Wireless Communication Techniques #Coding theory and cryptography #Error Correcting Code Techniques #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Rings and Algebras (math.RA)
- Locally Recoverable Codes with Availability t≥ 2 from Fiber Products of Curves
2016/12/12 by Kathryn Haymaker, Beth Malmskog, Haymaker, Kathryn +3 · 2 citations
Computer Science · #11T71 #14H05 #94B60 #Advanced Data Storage Technologies #Cellular Automata and Applications #Coding theory and cryptography #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Number Theory (math.NT)
- Explicit constructions of high-rate MDS array codes with optimal repair bandwidth
2016/04/02 by Min Ye, Alexander Barg, Ye, Min +1 · 7 citations
Computer Science · #94B60 #Advanced Data Storage Technologies #Caching and Content Delivery #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT)
- Representations of Lie Algebras and Partial Differential Equations
2016/01/28 by Xu, Xiaoping · 1 citation
#17B01 #17B10 #17B25 #17B80 #22E46 #33D67 #35C05 #35C10 #35C15 #35Q35 #35Q58 #94B60 #Analysis of PDEs (math.AP) #FOS: Mathematics #Representation Theory (math.RT)
- Galois Self-Dual Constacyclic Codes
2015/12/23 by Fan, Yun, Zgang, Liang · 2 citations
#12E20 #94B60 #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Rings and Algebras (math.RA)
- Construction of Subspace Codes through Linkage
2015/05/08 by Gluesing-Luerssen, Heide, Troha, Carolyn · 4 citations
#11T71 #51E23 #94B60 #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT)
- Cyclic Orbit Codes and Stabilizer Subfields
2014/03/05 by Gluesing-Luerssen, Heide, Morrison, Katherine, Troha, Carolyn · 1 citation
#11T71 #94B60 #FOS: Computer and information sciences #Information Theory (cs.IT)
- Counting sheaves using spherical codes
2012/10/02 by Fouvry, Étienne, Kowalski, Emmanuel, Michel, Philippe · 1 citation
#11G20 #11T23 #94B60 #94B65 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
- The asymptotic behavior of Grassmannian codes
2011/11/11 by Simon R. Blackburn⋆, Tuvi Etzion, Blackburn, Simon R. +1 · 1 citation
Computer Science · Engineering · #94B60 #Coding theory and cryptography #Discrete Mathematics (cs.DM) #Error Correcting Code Techniques #FOS: Computer and information sciences #graph theory and CDMA systems
- The Gray Image of Codes over Finite Chain Rings
2009/07/20 by Somphong Jitman, Patanee Udomkavanich, Jitman, Somphong +1 · 1 citation
Computer Science · Engineering · Mathematics · #94B15 #94B60 #94B99 #Coding theory and cryptography #FOS: Computer and information sciences #FOS: Mathematics #Finite Group Theory Research #Information Theory (cs.IT) #Rings and Algebras (math.RA) #graph theory and CDMA systems
- Codes and Invariant Theory
2003/11/04 by Nebe, Gabriele, Rains, E. M., Sloane, N. J. A. · 1 citation
#13A50 #94B05 #94B60 #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Number Theory (math.NT)