Method and system for detection and correction of phased-burst errors, erasures, symbol errors, and bit errors in a received symbol string
A symbol and error technique used in the field of detection and correction of phased burst errors, erasures, symbol errors, and bit errors and systems in a received symbol string, capable of solving problems that are not suitable for detecting and correcting errors
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[0031] The present invention is directed to error correcting codes ("ECC") and ECC-based encoding-decoding schemes, which are well suited for detecting and correcting phased bursts of symbol errors and / or or deletion and additional single bit errors and symbol errors. The invention is discussed below in three subsections. In the first subsection, an overview of a family of error correcting codes is provided. These error correcting codes are examples of component ECCs that can be used to construct composite ECCs that represent embodiments of the present invention, although many additional types of ECCs can be used as components of composite ECCs. In the following subsections, a brief overview of groups and domains is provided. Finally, in the third subsection, the composite codes and composite code-based encoding-decoding schemes to which the present invention is directed are described, in which the encoding and decoding methods for one disclosed composite code are described ...
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