- Balanced Product Quantum Codes
2020/12/31 by Nikolas P. Breuckmann, Jens N. Eberhardt · 53 citations
Computer Science · Physics and Astronomy · #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 #quant-ph
- Optimal locally repairable codes of distance 3 and 4 via cyclic codes
2018/01/11 by Yuan Luo, Chaoping Xing, Luo, Yuan +3 · 5 citations
Computer Science · Mathematics · #Advanced Data Storage Technologies #Algorithm #Alphabet #Block code #Bounded function #Cellular Automata and Applications #Code (set theory) #Coding theory and cryptography #Combinatorics #Computer science #Decoding methods #Discrete mathematics #FOS: Computer and information sciences #Information Theory (cs.IT) #Locality #Mathematics #Minimum distance #Upper and lower bounds #cs.IT #math.IT
- Performance Comparison of Short-Length Error-Correcting Codes
2016/09/26 by J. Van Wonterghem, Johannes Van Wonterghem, Amira Alloum +9 · 3 citations
Computer Science · Engineering · Mathematics · #Advanced Wireless Communication Techniques #Algorithm #Arithmetic #BCH code #Binary erasure channel #Binary number #Binary symmetric channel #Block code #Channel (broadcasting) #Channel capacity #Coding theory and cryptography #Computer science #Concatenated error correction code #Concatenation (mathematics) #Decoding methods #Error Correcting Code Techniques #Error detection and correction #FOS: Computer and information sciences #Information Theory (cs.IT) #Linear code #Low-density parity-check code #Mathematics #Redundancy (engineering) #Telecommunications #cs.IT #math.IT
- Probability of Partially Decoding Network-Coded Messages
2016/07/31 by Jessica Claridge, Ioannis Chatzigeorgiou · 1 citation
Computer Science · Engineering · Mathematics · #Algorithm #Block code #Coding (social sciences) #Computer network #Computer science #Concatenated error correction code #Cooperative Communication and Network Coding #Decoding methods #Fraction (chemistry) #Full-Duplex Wireless Communications #Implementation #Linear network coding #List decoding #Mathematics #Network packet #Probability of error #Statistics #Theoretical computer science #Wireless Communication Security Techniques #cs.IT #math.IT
- Quantum error correcting codes and 4-dimensional arithmetic hyperbolic manifolds
2013/10/21 by Larry Guth, Alexander Lubotzky · 2 citations
Computer Science · Mathematics · #Block code #Coding theory #Coding theory and cryptography #Cryptography #Cryptography and Data Security #Error detection and correction #Parity (physics) #Quantum #Quantum Computing Algorithms and Architecture #Quantum computer #Quantum error correction #math.DG #msc:53C23
- A Distinguisher-Based Attack of a Homomorphic Encryption Scheme Relying on Reed-Solomon Codes
2012/03/29 by Valérie Gauthier, Gauthier, Valérie, Ayoub Otmani +4 · 3 citations
Computer Science · Engineering · Mathematics · #Algorithm #Arithmetic #Block code #Cardinality (data modeling) #Ciphertext #Code (set theory) #Code rate #Coding theory and cryptography #Combinatorics #Computer science #Computer security #Concatenated error correction code #Constant-weight code #Cryptography and Data Security #Cryptography and Security (cs.CR) #Decoding methods #Dimension (graph theory) #Encryption #FOS: Computer and information sciences #Homomorphic encryption #Intersection (aeronautics) #Linear code #Mathematics #Programming language #Reed–Solomon error correction #Scheme (mathematics) #Set (abstract data type) #Systematic code #Ternary Golay code #Theoretical computer science #Vandermonde matrix #cs.CR #graph theory and CDMA systems
- New constructions of WOM codes using the Wozencraft ensemble
2011/10/30 by Amir Shpilka, Shpilka, Amir · 2 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Advanced Data Storage Technologies #Algorithm #Alphabet #Arithmetic #Artificial intelligence #Binary number #Block (permutation group theory) #Block code #Code (set theory) #Coding theory and cryptography #Combinatorics #Computer science #DNA and Biological Computing #Decoding methods #Discrete mathematics #Encoding (memory) #FOS: Computer and information sciences #Information Theory (cs.IT) #Logarithm #Mathematics #cs.IT #math.IT
- Bounds on sets with few distances
2009/05/31 by Alexander Barg, Oleg R. Musin · 1 citation
Computer Science · Mathematics · #Algorithm #Block code #Coding theory and cryptography #Combinatorics #Computer science #Discrete mathematics #Hamming bound #Hamming code #Hamming distance #Hamming space #Limits and Structures in Graph Theory #Mathematical Approximation and Integration #Mathematical analysis #Mathematics #Metric (unit) #Metric space #Space (punctuation) #Upper and lower bounds #cs.IT #math.CO #math.IT #math.MG
- Regular and irregular progressive edge-growth tanner graphs
2005/01/01 by Xiao-Yu Hu, Xiaoyu Hu, Evangelos Eleftheriou +3 · 81 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · Mathematics · #Advanced Wireless Communication Techniques #Algorithm #Block (permutation group theory) #Block code #Combinatorics #Computer science #DNA and Biological Computing #Decoding methods #Discrete mathematics #Enhanced Data Rates for GSM Evolution #Error Correcting Code Techniques #Error floor #Girth (graph theory) #Low-density parity-check code #Mathematics #Simple (philosophy) #Tanner graph #Telecommunications
- Zigzag codes and concatenated zigzag codes
2001/01/01 by Li Ping, Xiaoling Huang, Nam Phamdo · 1 citation
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #Error Correcting Code Techniques #Advanced Wireless Communication Techniques #Zigzag #Turbo code #Concatenated error correction code #Algorithm #Decoding methods #Serial concatenated convolutional codes #Computer science #Noisy-channel coding theorem #Code (set theory) #Bit error rate #BCJR algorithm #Theoretical computer science #Mathematics #Discrete mathematics #Block code
- Shift-register synthesis and BCH decoding
1969/01/01 by J. Massey · 11 citations
Computer Science · Mathematics · #Algorithms and Data Compression #Coding theory and cryptography #Cellular Automata and Applications #BCH code #Shift register #Berlekamp–Welch algorithm #Decoding methods #Computer science #Algorithm #Equivalence (formal languages) #Sequence (biology) #Sequential decoding #Arithmetic #Mathematics #Discrete mathematics #Block code #Telecommunications