- The Partial-Inverse Approach to Linearized Polynomials and Gabidulin Codes With Applications to Network Coding
2023/01/13 by Jiun-Hung Yu, Hans-Andrea Loeliger, Hans‐Andrea Loeliger · 1 citation
Computer Science · Engineering · Mathematics · #Algorithm #Berlekamp–Welch algorithm #Block code #Coding theory and cryptography #Computer science #Concatenated error correction code #Cooperative Communication and Network Coding #Decoding methods #Discrete mathematics #Euclidean algorithm #Hamming code #Inverse #Linear code #Linear network coding #List decoding #Mathematics #Sequential decoding #Wireless Communication Security Techniques
- Balanced Product Quantum Codes
2021/08/10 by Nikolas P. Breuckmann, Jens N. Eberhardt · 52 citations
Computer Science · #Block code #Complexity and Algorithms in Graphs #Concatenated error correction code #Expander code #Hamming code #Linear code #Low-density parity-check code #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum convolutional code #Qubit #Turbo code
- Shortened Linear Codes over Finite Fields
2020/07/12 by Yang Liu, Liu, Yang, Cunsheng Ding +3 · 1 citation
Computer Science · Engineering · Mathematics · Medicine · #Algorithm #Block code #Cancer Mechanisms and Therapy #Code (set theory) #Coding theory and cryptography #Computer science #Decoding methods #Discrete mathematics #FOS: Computer and information sciences #Hamming code #Hamming distance #Information Theory (cs.IT) #Linear code #Mathematics #Puncturing #Reed–Muller code #Statistics #graph theory and CDMA systems
- Optimization of Non Binary Parity Check Coefficients
2018/11/15 by Emmanuel Boutillon · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Wireless Communication Techniques #Algorithm #Arithmetic #Binary number #Block code #Code word #Combinatorics #Decoding methods #Discrete mathematics #Error Correcting Code Techniques #Galois theory #Hamming code #Hamming distance #Hamming weight #Low-density parity-check code #Mathematics #PAPR reduction in OFDM #Parity (physics) #Parity bit
- Repairable Fountain Codes
2014/04/24 by Megasthenis Asteris, Alexandros G. Dimakis · 1 citation
Computer Science · Mathematics · #Advanced Data Storage Technologies #Caching and Content Delivery #Cooperative Communication and Network Coding #Fountain code #Logarithm #Computer science #Disjoint sets #Discrete mathematics #Online codes #Bipartite graph #Code (set theory) #Combinatorics #Theoretical computer science #Hamming code #Mathematics #Algorithm #Block code #Decoding methods #Graph
- MacWilliams Identities for m-tuple Weight Enumerators
2012/05/07 by Nathan Kaplan · 1 citation
Computer Science · Engineering · Mathematics · #Code (set theory) #Coding theory and cryptography #Dual (grammatical number) #Finite Group Theory Research #Generalization #Hamming code #Hamming distance #Hamming weight #Identity (music) #graph theory and CDMA systems
- Isosceles Sets
2009/11/24 by Yury J. Ionin · 1 citation
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #Digital Image Processing Techniques #Limits and Structures in Graph Theory #Isosceles triangle #Combinatorics #Mathematics #Cardinality (data modeling) #Hamming space #Upper and lower bounds #Hyperplane #Space (punctuation) #Euclidean space #Metric space #Plane (geometry) #Hamming distance #Discrete mathematics #Hamming code #Geometry #Algorithm #Mathematical analysis
- Refined Coding Bounds and Code Constructions for Coherent Network Error Correction
2009/04/30 by Shenghao Yang, Raymond W. Yeung, Chi Kin Ngai +1 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Wireless Communication Techniques #Coding (social sciences) #Cooperative Communication and Network Coding #Error Correcting Code Techniques #Error detection and correction #Hamming bound #Hamming code #Hamming distance #Linear code #Linear network coding #Singleton #Upper and lower bounds #cs.IT #math.IT
- Statistical Analysis of Second Order Differential Power Analysis
2009/01/20 by E. Prouff, Emmanuel Prouff, Matthieu Rivain +3 · 7 citations
Computer Science · #Advanced Malware Detection Techniques #Algorithm #Computation #Computer science #Context (archaeology) #Cryptographic Implementations and Security #Cryptography #Gaussian #Hamming code #Hamming weight #Masking (illustration) #Overhead (engineering) #Physical Unclonable Functions (PUFs) and Hardware Security #Power analysis #Side channel attack #Theoretical computer science
- Computing Binary Combinatorial Gray Codes Via Exhaustive Search With SAT Solvers
2008/03/27 by Igor Zinovik, Daniel Kroening, Yury Chebiryak · 1 citation
Computer Science · Biochemistry, Genetics and Molecular Biology · Mathematics · #Interconnection Networks and Systems #DNA and Biological Computing #Cellular Automata and Applications #Gray code #Hypercube #Hamming distance #Code word #Hamming code #Binary number #Computer science #Binary code #Linear code #Discrete mathematics #Block code #Combinatorics #Mathematics #Algorithm #Theoretical computer science #Arithmetic #Decoding methods
- Algorithms for the Maximum Hamming Distance Problem
2005/01/01 by Ola Angelsmark, Johan Thapper · 1 citation
Computer Science · Mathematics · #Advanced Graph Theory Research #Algorithm #Block code #Combinatorics #Complexity and Algorithms in Graphs #Constraint Satisfaction and Optimization #Discrete mathematics #Domain (mathematical analysis) #Enumeration #Hamming code #Hamming distance #Hamming graph #Mathematics
- Enhanced detection through signal space diversity for a coded MC-CDMA system (Best Paper Award)
2004/01/01 by Robert F. Service, Ronald Raulefs, Armin Dammann +3 · 1 citation
Computer Science · Engineering · Physics and Astronomy · #Advanced Wireless Communication Techniques #Algorithm #Antenna diversity #Bit error rate #Block code #Channel (broadcasting) #Code division multiple access #Computer network #Computer science #Condensed matter physics #Constellation #Constellation diagram #Data transmission #Decoding methods #Diversity scheme #Electronic engineering #Engineering #Engineering physics #Fading #Hamming code #Hamming distance #High-temperature superconductivity #Materials science #Physics #Physics of Superconductivity and Magnetism #SIGNAL (programming language) #Spread spectrum #Superconductivity #Telecommunications #Transmission (telecommunications) #Wireless #Wireless Communication Networks Research #graph theory and CDMA systems
- The Diametric Theorem in Hamming Spaces—Optimal Anticodes
1998/05/01 by Rudolf Ahlswede, Levon H. Khachatrian · 1 citation
Computer Science · Engineering · Mathematics · #Algorithm #Alphabet #Brouwer fixed-point theorem #Cardinality (data modeling) #Coding theory and cryptography #Combinatorics #Compactness theorem #Discrete mathematics #Fixed-point theorem #Hamming code #Hamming distance #Hamming graph #Hamming space #Intersection (aeronautics) #Intersection theorem #Mathematics #Space (punctuation) #graph theory and CDMA systems
- Association schemes and coding theory
1998/01/01 by P. Delsarte, V.I. Levenshtein · 1 citation
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #graph theory and CDMA systems #Finite Group Theory Research #Association scheme #Coding theory #Hamming distance #Mathematics #Hamming code #Polynomial code #Discrete mathematics #Binary number #Algebraic theory #Block code #Cyclic code #Coding (social sciences) #Information theory #Linear code #Algorithm #Computer science #Algebraic number #Arithmetic #Decoding methods
- Fast generalized minimum-distance decoding of algebraic-geometry and Reed-Solomon codes
1996/05/01 by Ralf Kötter, R. Kotter · 9 citations
Computer Science · Engineering · Mathematics · #Algorithm #Block code #Coding theory and cryptography #Concatenated error correction code #Decoding methods #Discrete mathematics #Erasure code #Error Correcting Code Techniques #Hamming code #Hamming distance #Linear code #List decoding #Mathematics #Reed–Solomon error correction #Sequential decoding #graph theory and CDMA systems
- On the Nonexistence of Perfect Codes over Finite Fields
1973/01/01 by Aimo Tietäväinen · 1 citation
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #Cellular Automata and Applications #graph theory and CDMA systems #Hamming code #Coding theory #Hamming bound #Hamming distance #Golomb coding #Finite field #Mathematics #Algebraic number #Combinatorics #Reed–Solomon error correction #Discrete mathematics #Error detection and correction #Linear code #Block code #Algorithm #Computer science #Decoding methods