- 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
- Quantum LDPC Codes With Almost Linear Minimum Distance
2021/10/11 by Pavel Panteleev, Gleb Kalachev · 50 citations
Computer Science · Mathematics · #Advanced Data Storage Technologies #Algorithm #Chain (unit) #Code (set theory) #Combinatorics #Computer science #Decoding methods #Dimension (graph theory) #Discrete mathematics #Error Correcting Code Techniques #Geometry #Low-density parity-check code #Mathematics #Minimum distance #Omega #Physics #Product (mathematics) #Quantum #Quantum Computing Algorithms and Architecture #Quantum mechanics #Set (abstract data type)
- On Pre-transformed Polar Codes
2019/12/13 by Bin Li, Huazi Zhang, Li, Bin +3 · 1 citation
Computer Science · Engineering · Mathematics · #Algorithm #Arithmetic #Code (set theory) #Coding theory and cryptography #Computer science #Cyclic redundancy check #Decoding methods #Discrete mathematics #Error Correcting Code Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #Low-density parity-check code #Mathematics #Minimum distance #Parity-check matrix #Physics #Polar #Programming language #Redundancy (engineering) #Satellite Communication Systems #Transformation (genetics)
- So, What is Actually the Distance from the Equator to the Pole? – Overview of the Meridian Distance Approximations
2013/01/01 by Adam Weintrit · 1 citation
Social Sciences · Mathematics · #Historical Geography and Cartography #Literature, Language, and Rhetoric Studies #Geographic Information Systems Studies #Meridian (astronomy) #Ellipse #Equator #Great circle #Geodesy #Geometry #Geodetic datum #Quadrant (abdomen) #Arc length #Mathematics #Polar coordinate system #Perimeter #Minimum distance #Mathematical analysis #Physics #Geology #Arc (geometry) #Mathematical optimization #Astronomy
- Quantum LDPC Codes With Positive Rate and Minimum Distance Proportional to the Square Root of the Blocklength
2009/03/31 by Jean-Pierre Tillich, Gilles Zemor · 88 citations
Computer Science · Mathematics · Physics and Astronomy · #Code rate #Error Correcting Code Techniques #Logarithm #Low-density parity-check code #Minimum distance #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Square (algebra) #Square root #Upper and lower bounds #cs.IT #math.IT #msc:68P30 #msc:81P68 #quant-ph
- Snake-in-the-box codes as robust quantizer index assignments
2002/11/07 by S. Kim, David L. Neuhoff · 1 citation
Computer Science · Biochemistry, Genetics and Molecular Biology · Mathematics · #Error Correcting Code Techniques #Single-cell and spatial transcriptomics #Advanced Data Compression Techniques #Computer science #Algorithm #Binary number #Binary code #Scalar (mathematics) #Property (philosophy) #Block code #Channel (broadcasting) #Minimum distance #Theoretical computer science #Decoding methods #Mathematics #Arithmetic #Telecommunications
- 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
- 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
- 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
- A note on upper bounds for minimum distance codes
1958/09/01 by Dipesh Joshi, D.D. Joshi · 1 citation
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #Combinatorics #Digital Image Processing Techniques #Discrete mathematics #Mathematical analysis #Mathematics #Minimum distance #Upper and lower bounds #graph theory and CDMA systems