منابع مشابه
On the Triple-Error-Correcting Cyclic Codes
We consider a class of 3-error-correcting cyclic codes of length 2−1 over the two-element field F2. The generator polynomial of a code of this class has zeroes α, α i +1 and α j , where α is a primitive element of the field F2m . In short, {1, 2+1, 2 +1} refers to the zero set of these codes. Kasami in 1971 and Bracken and Helleseth in 2009, showed that cyclic codes with zeroes {1, 2 + 1, 2 + 1...
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The unequal error correction capabilities of binary cyclic codes of composite length aye investigated. Under certain conditions, direct sums of concatenated codes have unequal error correction capabilities. By a modified Hartmann and Tzeng algorithm, it is shown that a binary cyclic code of composite length is equivalent to the direct sum of concatenated codes. With this, some binary cyclic une...
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In this paper, we obtain lower and upper bounds on the number of parity check digits of a linear code that corrects e or less errors within a subblock. An example of such a code is provided. We introduce blockwise-tensor product of matrices and using this, we propose classes of error locating codes (or EL-codes) that can detect e or less errors within a sub-block and locate several such corrupt...
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ژورنال
عنوان ژورنال: Information and Control
سال: 1967
ISSN: 0019-9958
DOI: 10.1016/s0019-9958(67)90192-1