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- code for correcting burst errors (en)
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- For over a binary alphabet, there are vectors of length which are bursts of length . (en)
- If is a polynomial of period , then if and only if (en)
- Suppose is an error vector of length with two burst descriptions and . If then the two descriptions are identical that is, their components are equivalent. (en)
- Every cyclic code with generator polynomial of degree can detect all bursts of length (en)
- A linear code is an -burst-error-correcting code if all the burst errors of length lie in distinct cosets of . (en)
- If is a binary linear -burst error correcting code, its block-length must satisfy: (en)
- The burst error detection ability of any code is (en)
- Let be a linear -burst-error-correcting code. Then no nonzero burst of length can be a codeword. (en)
- If a binary -burst error correcting code has at most codewords. (en)
- If is the burst error correcting ability of an linear block code, then . (en)
- The burst error correction ability of any code satisfies (en)
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- Theorem (en)
- Lemma 1 (en)
- Lemma 2 (en)
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- Burst error-correcting code (en)
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