- Some quantum MDS codes from GRS codes
2023/02/25 by Guohui Wang, Chunming Tang · 2 citations
Computer Science · Mathematics · #Algorithm #Block code #Coding theory and cryptography #Concatenated error correction code #Decoding methods #Discrete mathematics #Expander code #Linear code #Mathematics #Minimum distance #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum convolutional code #Quantum mechanics #Quantum-Dot Cellular Automata #Tornado code #Turbo code
- 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
- Several Classes of Minimal Linear Codes With Few Weights From Weakly Regular Plateaued Functions
2019/11/27 by Sihem Mesnager, Ahmet Sinak, Ahmet Sınak · 8 citations
Computer Science · Mathematics · Social Sciences · #Algorithm #Block code #Code (set theory) #Coding theory and cryptography #Computer science #Construct (python library) #Cooperative Communication and Network Coding #Cryptography #Decoding methods #Discrete mathematics #Dual code #Finite field #Islamic Finance and Communication #Linear code #Mathematics #Secret sharing
- A generalization of quasi-twisted codes: Multi-twisted codes
2017/01/04 by Nuh Aydin, Ajdin Halilović, Ajdin Halilovic · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · Mathematics · #Algebraic number #Block code #Class (philosophy) #Coding (social sciences) #Coding theory and cryptography #DNA and Biological Computing #Expander code #Finite field #Generalization #Linear code #Reed–Muller code #cs.IT #graph theory and CDMA systems #math.IT #msc:94B15 #msc:94B60 #msc:94B65
- Linear Codes With Two or Three Weights From Weakly Regular Bent Functions
2016/01/18 by Chunming Tang, Nian Li, Yanfeng Qi +2 · 26 citations
Computer Science · Engineering · Mathematics · #Algorithm #Authentication (law) #Bent molecular geometry #Block code #Coding theory and cryptography #Combinatorics #Computer science #Cooperative Communication and Network Coding #Cryptography #Decoding methods #Discrete mathematics #Expander code #Linear code #Mathematics #Reed–Muller code #Secret sharing #graph theory and CDMA systems
- Lattice Codes Achieve the Capacity of Common Message Gaussian Broadcast Channels with Coded Side Information
2015/09/03 by Lakshmi Prasad Natarajan, Lakshmi Natarajan, Natarajan, Lakshmi +4 · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · Mathematics · #Additive white Gaussian noise #Algorithm #Binary symmetric channel #Block code #Channel (broadcasting) #Channel capacity #Coding (social sciences) #Combinatorics #Communication source #Computer network #Computer science #Cooperative Communication and Network Coding #DNA and Biological Computing #Decoding methods #FOS: Computer and information sciences #Gaussian #Information Theory (cs.IT) #Linear code #Mathematics #Multicast #Physics #Relay #Relay channel #Repetition code #Statistics #Theoretical computer science #Topology (electrical circuits) #Transmitter #Wireless Communication Security Techniques #cs.IT #math.IT
- Novel Polynomial Basis and Its Application to Reed-Solomon Erasure Codes
2014/04/14 by Sian-Jheng Lin, Lin, Sian-Jheng, Wei-Ho Chung +4 · 1 voice
Computer Science · Mathematics · #Advanced Data Storage Technologies #Algorithm #Basis (linear algebra) #Binary logarithm #Block code #Coding theory and cryptography #Combinatorics #Computer science #Cryptographic Implementations and Security #Decoding methods #Discrete mathematics #Erasure #Erasure code #Field (mathematics) #Finite field #Linear code #Mathematics #Multiplication (music) #Multiplicative function #Polynomial #Polynomial basis #Pure mathematics #Reed–Solomon error correction #Time complexity #cs.IT #math.IT
- LDPC Codes for Compressed Sensing
2012/01/31 by Alexandros G. Dimakis, Roxana Smarandache, Pascal O. Vontobel · 7 citations
Computer Science · Engineering · Mathematics · #Algorithm #Basis pursuit #Block code #Compressed sensing #Computer science #Concatenated error correction code #Decoding methods #Energy Harvesting in Wireless Networks #Error Correcting Code Techniques #Linear code #Linear programming #List decoding #Low-density parity-check code #Matching pursuit #Mathematics #Matrix (chemical analysis) #Parity-check matrix #Sparse and Compressive Sensing Techniques #Theoretical computer science
- Raptor Codes
2011/05/17 by Amin Shokrollahi, Michael Luby · 1 citation
Computer Science · Engineering · #Error Correcting Code Techniques #Advanced Wireless Communication Techniques #Advanced Data Storage Technologies #Raptor code #Computer science #Block code #Telecommunications #Linear code #Decoding methods
- 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
- 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
- Raptor codes
2006/06/01 by Amin Shokrollahi · 1 citation
Computer Science · Mathematics · #Error Correcting Code Techniques #Cooperative Communication and Network Coding #Advanced Data Storage Technologies #Raptor code #Fountain code #Luby transform code #Block code #Computer science #Online codes #Tornado code #Decoding methods #Linear code #Theoretical computer science #Algorithm #Expander code #Discrete mathematics #Mathematics
- Data Compression
2005/04/07 by Thomas M. Cover, Joy A. Thomas · 1 citation
Computer Science · Health Professions · Engineering · Mathematics · #Algorithms and Data Compression #Medical Coding and Health Information #Advanced Wireless Communication Techniques #Huffman coding #Canonical Huffman code #Prefix code #Mathematics #Code (set theory) #Block code #Discrete mathematics #Computer science #Data compression #Algorithm #Linear code #Code rate #Decoding methods #Programming language #Systematic code
- Golay Codes
2003/04/15 by Marcus Greferath · 1 citation
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #graph theory and CDMA systems #Finite Group Theory Research #Binary Golay code #Coding theory #Coding (social sciences) #Computer science #Linear code #Decoding methods #Block code #Theoretical computer science #Presentation (obstetrics) #Mathematics #Algorithm #Statistics
- The Structure of 1-Generator Quasi-Twisted Codes and New Linear Codes
2001/12/01 by Nuh Aydin, Nuh Aydın, İrfan Şiap +3 · 2 citations
Computer Science · Engineering · Mathematics · #Algorithm #BCH code #Block code #Coding theory #Coding theory and cryptography #Computer science #Concatenated error correction code #Cooperative Communication and Network Coding #Decoding methods #Discrete mathematics #Error detection and correction #Expander code #Linear code #Mathematics #Minimum distance #Polynomial code #Reed–Muller code #Reed–Solomon error correction #graph theory and CDMA systems
- On cryptographic properties of the cosets of R(1, m)
2001/05/01 by A. Canteaut, Anne Canteaut, C. Carlet +5 · 8 citations
Computer Science · Engineering · Mathematics · #Algorithm #Bent function #Block code #Boolean function #Chaos-based Image/Signal Encryption #Code (set theory) #Coding theory and cryptography #Computer science #Coset #Cryptography #Decoding methods #Discrete mathematics #Linear code #Mathematics #Nonlinear system #Order (exchange) #Physics #Reed–Muller code #graph theory and CDMA systems
- The mass of extremal doubly-even self-dual codes of length 40
2001/01/01 by O.D. King, Oliver D. King · 1 citation
Computer Science · Engineering · Mathematics · #Algorithm #Arithmetic #Binary code #Binary number #Block code #Coding theory and cryptography #Combinatorics #Decoding methods #Discrete mathematics #Dual (grammatical number) #Finite Group Theory Research #Linear code #Mathematics #graph theory and CDMA systems
- On Harmonic Weight Enumerators of Binary Codes
1999/12/01 by Christine Bachoc · 2 citations
Computer Science · Engineering · Mathematics · #Algebra over a field #Algorithm #Arithmetic #Binary number #Block code #Code (set theory) #Coding theory and cryptography #Combinatorics #Computer science #Decoding methods #Degree (music) #Discrete mathematics #Dual code #Finite Group Theory Research #Function (biology) #Generating function #Harmonic #Harmonic number #Intersection (aeronautics) #Linear code #Mathematics #Physics #Polynomial code #Pure mathematics #Type (biology) #graph theory and CDMA systems
- Some new circuit codes
1998/05/01 by Kenneth G. Paterson, Jonathan Tuliani · 3 citations
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #graph theory and CDMA systems #Error Correcting Code Techniques #Block code #Reed–Muller code #Linear code #Raptor code #Tornado code #Computer science #Luby transform code #Equivalence (formal languages) #Concatenated error correction code #Expander code #Code (set theory) #Fountain code #Minimum distance #Theoretical computer science #Algorithm #Mathematics #Discrete mathematics #Decoding methods #Programming language
- Shadow bounds for self-dual codes
1998/01/01 by E.M. Rains, Eric M. Rains · 26 citations
Computer Science · Mathematics · #Algorithm #Arithmetic #Binary code #Binary number #Block code #Code (set theory) #Coding theory #Coding theory and cryptography #Combinatorics #Computer science #Cyclic code #Decoding methods #Discrete mathematics #Dual (grammatical number) #Dual code #Hamming bound #Linear code #Mathematics #Minimum distance #Quantum Computing Algorithms and Architecture #Quantum-Dot Cellular Automata #Shadow (psychology) #Upper and lower bounds
- 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
- A new upper bound on the minimal distance of self-dual codes
1990/01/01 by J.H. Conway, John H. Conway, N.J.A. Sloane +1 · 21 citations
Computer Science · Engineering · Mathematics · #Algorithm #Arithmetic #Binary number #Block code #Code (set theory) #Coding theory and cryptography #Combinatorics #Computer science #Decoding methods #Discrete mathematics #Dual (grammatical number) #Dual code #Finite Group Theory Research #Linear code #Mathematics #Minimum distance #Upper and lower bounds #graph theory and CDMA systems
- Binary self-dual codes of length 24
1974/11/01 by Vera Pless, N. J. A. Sloane · 1 citation
Computer Science · Engineering · Mathematics · #Algorithm #Arithmetic #Binary number #Block code #Code (set theory) #Coding theory and cryptography #Combinatorics #Computer science #Cyclic code #Decoding methods #Discrete mathematics #Dual (grammatical number) #Finite Group Theory Research #Indecomposable module #Linear code #Mathematics #Physics #Weight distribution #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