Titlebook: Error Coding for Engineers; A. Houghton Book 2001 Springer Science+Business Media New York 2001 Boolean algebra.Hardware.algebra.coding.co

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Error Correction by Parity,he shortcomings of the simple horizontal parity check could be overcome. If, however, only a single-bit error occurs then the bit which is intersected by both horizontal and vertical parity errors will be the bit in error, and it can be corrected.

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机密

Augmenting Error Codes,ound impact on the end performance that is achieved, often at relatively little cost. In this chapter some of these strategies will be examined, along with the kinds of environments where they are likely to be effective.

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Antonio Giordano,Gaetano Romano used maths for anything practical can have failed to notice how amazing it is that diverse approaches to problems converge upon common answers. Logic, of course, predicts this and this is also why mathematicians go to great lengths to prove that “it wasn‘t a fluke and it‘ll work more than twice”.

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https://doi.org/10.1007/978-3-540-37390-2 be generic, capable of supporting arbitrary field size or primitive polynomial, or it might be specific to a particular field. Any solution will be a function of available resources, speed of execution and the application.

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Reed-Muller Codes,ays, the opposite of Hamming codes. Taking a typical Hamming code, say (15, 11), with four redundancy bits, the corresponding maximal length code would be a (15, 4) code so now, . = 2. − 1 and . is the number of information bits. This gives a very low coding rate of about 0.27.