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Joshua Brakensiek

  1. Improved Field Size Bounds for Higher Order MDS Codes
    2022/12/21 by Joshua Brakensiek, Brakensiek, Joshua, Manik Dhar +3 · 3 citations
    Computer Science · #Advanced Data Storage Technologies #Coding theory and cryptography #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT)
  2. Lower Bounds for Maximally Recoverable Tensor Code and Higher Order MDS\n Codes
    2021/07/22 by Joshua Brakensiek, Brakensiek, Joshua, Sivakanth Gopi +3 · 2 citations
    Computer Science · #Advanced Data Storage Technologies #Caching and Content Delivery #Computational Complexity (cs.CC) #Cooperative Communication and Network Coding #Error Correcting Code Techniques #FOS: Computer and information sciences #Information Theory (cs.IT)
  3. SDPs and Robust Satisfiability of Promise CSP
    2022/11/15 by Joshua Brakensiek, Brakensiek, Joshua, Venkatesan Guruswami +3 · 1 citation
    Computer Science · #Advanced Graph Theory Research #Complexity and Algorithms in Graphs #Constraint Satisfaction and Optimization #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #Logic in Computer Science (cs.LO)
  4. Redundancy Is All You Need (for CSP Sparsification)
    2024/11/05 by Joshua Brakensiek, Brakensiek, Joshua, Venkatesan Guruswami +1 · 1 citation
    Health Professions · #Combinatorics (math.CO) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Logic in Computer Science (cs.LO) #Quality and Safety in Healthcare
  5. Generalized GM-MDS: Polynomial Codes are Higher Order MDS
    2023/10/19 by Joshua Brakensiek, Brakensiek, Joshua, Manik Dhar +3 · 2 citations
    Computer Science · Engineering · #Algebraic Geometry (math.AG) #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
  6. Bounds and Limitations on Codes Achieving List Recovery Capacity
    2026/07/21 by Joshua Brakensiek, Yeyuan Chen, Aaron Putterman +1
    #cs.IT #math.CO #math.IT