Professional Certificate in Coding Theory
-- ViewingNowThe Professional Certificate in Coding Theory is a comprehensive course that equips learners with critical skills in error detection and correction techniques, linear algebra, and advanced mathematics. This program's importance lies in its ability to prepare learners for careers in industries that rely heavily on data transmission and storage, such as telecommunications, computer networking, and data storage.
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โข Introduction to Coding Theory (Primary Keyword): Overview of coding theory, error detection and correction codes, and their applications.
โข Linear Block Codes: Definitions, properties, and constructions of linear block codes. Hamming codes, cyclic codes, and BCH codes.
โข Cyclic Codes: Generator polynomials, parity check polynomials, and examples of cyclic codes. Cyclic redundancy checks and Bose-Chaudhuri-Hocquenghem (BCH) codes.
โข Convolutional Codes: Definition, encoder and trellis structures, and Viterbi decoding algorithm.
โข Algebraic Coding Theory: Finite fields, algebraic curves, and their applications in coding theory. Algebraic geometric codes.
โข Reed-Solomon Codes: Definition, construction, and properties of Reed-Solomon codes. Reed-Solomon error correction.
โข Low-Density Parity-Check (LDPC) Codes: Definitions, properties, and constructions of LDPC codes. Iterative decoding techniques.
โข Codes on Graphs: Definitions, properties, and constructions of codes on graphs. Examples of codes on graphs, including expander codes.
โข Quantum Codes: Definitions, properties, and constructions of quantum codes. Quantum error correction and stabilizer codes.
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