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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Watermarking is one useful solution for digital rights management (DRM) systems, and it is a popular research topic in the last decade. In this paper, besides the inherent behavior to conquer against intentional or unintentional attacks for watermarking, we not only watch the survivability of embedded watermark, but also focus on retaining the watermarked image quality with the aid of multiple ...
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In this paper, a more efficient syndrome-weight decoding algorithm (SWDA), called the enhanced syndrome-weight decoding algorithm (ESWDA), is presented to decode up to three possible errors for the binary systematic (23, 12, 7) and (31, 16, 7) quadratic residue (QR) codes. In decoding of the QR codes, the evaluation of the error-locator polynomial in the finite field is complicated and time-con...
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Discovered by Bose, Chaudhuri and Hocquenghem [1], [4], the BCH family of error correcting codes are one of the most studied families in coding theory. They are also among the best performing codes, particularly when the number of errors being corrected is small relative to the code length. In this article we consider binary codes with minimum distance of 7. We construct new families of codes w...
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Error correction codes are used in semiconductor memories to protect information against soft and hard errors. Soft error is a major concern for memory reliability especially for memories that are used in space applications. Hamming codes are attractive as they are simple to construct for any word length and encoding / decoding can be done with low latency. In this paper, the design of Single E...
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ژورنال
عنوان ژورنال: Parasite
سال: 2008
ISSN: 1252-607X,1776-1042
DOI: 10.1051/parasite/2008153495