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Titlebook: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes; 8th International Co Shojiro Sakata Conference proceedings 1991 Springer-

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https://doi.org/10.1007/978-3-642-05320-7ne arithmetic operations in which the results are generated during the digit-serial input of the operands, beginning always with the most significant digit. The error detection/correction method effectively uses low-cost arithmetic codes since the interconnections between on-line modules are of mini
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https://doi.org/10.1007/978-3-642-05320-7, where . is the maximal length of correctable burst asymmetric errors and . is the number of information symbols. The codes have less check symbols than ordinary burst-error-correcting codes if log.(.−1).+log. log..<.. A decoding algorithm for the codes is also presented. Encoding and decoding of t
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https://doi.org/10.1007/978-3-642-05320-7 module of all homogeneous LFSR sequences in R generated by f(x)..The purpose of our paper is to determine the generating polynomial of the recurrence sequences obtained by multiplying the outputs of these LFSRs. When R is a finite field, we present a new explicit and computationally feasible method
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Agnessa O. Inshakova,Igor P. Marchukovdean free distance(..) and obtain large coding gain by intentionally utilizing intersymbol interference(ISI) in a channel. If .-ary modulation signals are transmitted in a channel with ISI, the received signals will be mapped into more than . signal points due to ISI,i.e. a channel memory. In the pr
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Harold Umberger,Adrian Gheorghe an . upper bound on the number of erroneous residues is known. A specific application would be for residue number codes (as distinct from quadratic residue codes). We generalise the method of Ramachandran, and present two general algorithms for this problem, along with two special cases one of whic
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