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Parity-check matrix
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Related lectures (10)
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Error Correction: Quantum From Correcting Cader
Covers quantum error correcting codes and their analogy to classical codes.
Linear Block Codes: Basics
Covers the basics of linear block codes and systematic codes over a field F.
Reed-Solomon Codes: Construction and Properties
Explores Reed-Solomon codes' construction, properties, decoding examples, linear codes, and applications in error correction on optical disks.
Error Correction Codes: Syndrome and Hamming Codes
Explains error correction codes, syndromes, Hamming codes, and error correction techniques.
Binary Parity Check Code
Explores binary parity check codes, systematic generator matrix, and Gaussian elimination.
Linear Codes: Systematic vs Non-Systematic
Explores the creation of systematic linear codes and the transformation of non-systematic codes, showcasing their equivalence and importance in simplifying encoding and decoding processes.
Error Correction Codes: Structure and Properties
Explores error correction codes, focusing on structure, properties, and the Singleton bound.
Calderbank-Steane-Shor Codes
Explores Calderbank-Steane-Shor codes, classical codes, error correction, CSS codes, and protecting states from errors.
Error Correction
Covers error correction in quantum computing using Hamming codes and syndrome decoding.
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