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A general algorithm for decoding the binary systematic quadratic residue (QR) codes with lookup tables is presented in this study. The algorithm can be applied in decoding the QR codes with either reducible or irreducible generator polynomials. If the generator polynomial of the QR codes is reducible, the number of elements in the Galois field is less than the sum of all correctable error patterns...
The design of a four-valued decoder based on the negative-differential- resistance (NDR) circuit is demonstrated. The presented NDR circuit is composed of a Si-based metal-oxide-semiconductor field-effect- transistor (MOS) and a SiGe-based heterojunction bipolar transistor (HBT). The fabrication of the four-valued decoder using this MOS- HBT-NDR circuit is based on the standard 0.35 mum SiGe-based...
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