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t-symmetric and d-unidirectional \((d>t)\) error-detecting cyclic AN arithmetic codes. (English) Zbl 0701.94014

Summary: The capabilities are investigated of cyclic AN arithmetic codes to detect all patterns of t or fewer symmetric errors and all patterns of d or fewer unidirectional errors, with \(d>t\). As a result of this investigation we give various classes of t-symmetric and d-unidirectional \((d>t)\) error-detecting cyclic AN arithmetic codes. The great advantage of these codes stems from the fact that the arithmetic codes can be used throughout a fault-tolerant computer system, eliminating the need for hard core or self-checking code translators and reducing the number of different types of code checkers required.

MSC:

94B40 Arithmetic codes
94B15 Cyclic codes
Full Text: DOI

References:

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