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A cyclic redundancy check (CRC) is an error-detecting code that can also be used as a hash function. Learn how CRCs are based on cyclic codes, how they are computed and applied, and how they differ from cryptographic hash functions.
Learn how CRCs are based on polynomial division in GF(2) and how they can detect and correct errors in data transmission. Explore different implementations and examples of CRCs, such as CRC-32 and CRC-16-CCITT.
Learn about the techniques and methods to ensure reliable delivery of digital data over unreliable communication channels. Find out the definitions, history ...
Error correction code (ECC) is a technique to control errors in data transmission over noisy channels. It adds redundancy to the message using an algorithm that ...
Learn how to compute a CRC, a type of error-detecting code, using polynomial division, modulo two, and exclusive or operations. See an example of generating an 8-bit CRC for the ASCII character "W" with different bit orderings.
Learn about the methods and codes to correct burst errors, which are errors that occur in many consecutive bits. Find definitions, examples, theorems and algorithms for cyclic codes and burst descriptions.
A cyclic code is a block code that is invariant under cyclic shifts of its codewords. Learn how cyclic codes are related to polynomials, ideals, and error correction ...
A Reed–Solomon code (like any MDS code) is able to correct twice as many erasures as errors, and any combination of errors and erasures can be corrected as long as the relation 2E + S ≤ n − k is satisfied, where is the number of errors and is the number of erasures in the block.