
Linear Error-correcting Codes
Linear error-correcting codes are a type of error-correcting code that can detect and correct errors in digital data transmission. These codes are linear because they are based on linear algebra, which is used to encode and decode the data. The codes are designed to add redundancy to the data, which allows errors to be detected and corrected. The most common type of linear error-correcting code is the Hamming code, which adds parity bits to the data to detect and correct errors. Other types of linear error-correcting codes include Reed-Solomon codes, which are used in applications such as CDs and DVDs, and BCH codes, which are used in applications such as satellite communication and digital television.
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