Abstract
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.
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