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LanguageTool does not check a sentence for grammatical correctness, but whether it contains typical errors. Therefore, it is easy to invent ungrammatical sentences that LanguageTool will still accept.
Verhoeff had the goal of finding a decimal code—one where the check digit is a single decimal digit—which detected all single-digit errors and all transpositions of adjacent digits. At the time, supposed proofs of the nonexistence [ 6 ] of these codes made base-11 codes popular, for example in the ISBN check digit .
The Damm algorithm is similar to the Verhoeff algorithm.It too will detect all occurrences of the two most frequently appearing types of transcription errors, namely altering a single digit or transposing two adjacent digits (including the transposition of the trailing check digit and the preceding digit).
Hamming's (7,4) algorithm can correct any single-bit error, or detect all single-bit and two-bit errors. In other words, the minimal Hamming distance between any two correct codewords is 3, and received words can be correctly decoded if they are at a distance of at most one from the codeword that was transmitted by the sender.
Download QR code; Print/export Download as PDF; Printable version; In other projects ... This algorithm is critical to modern iteratively-decoded error-correcting ...
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Such limitations often take the form of bounds that relate different parameters of the block code to each other, such as its rate and its ability to detect and correct errors. Examples of block codes are Reed–Solomon codes , Hamming codes , Hadamard codes , Expander codes , Golay codes , Reed–Muller codes and Polar codes .
If both errors and erasures are present, use the error-and-erasure locator polynomial Ψ ( x ) = Λ ( x ) Γ ( x ) {\displaystyle \Psi (x)=\Lambda (x)\,\Gamma (x)} See also