Bounds on Algorithm-Based Fault Tolerance in Multiple Processor Systems
IEEE Transactions on Computers - The MIT Press scientific computation series
Concrete mathematics: a foundation for computer science
Concrete mathematics: a foundation for computer science
Improved Bounds for Algorithm-Based Fault Tolerance
IEEE Transactions on Computers
Construction of Check Sets for Algorithm-Based Fault Tolerance
IEEE Transactions on Computers
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Algorithm-based fault tolerance (ABFT) is a low-cost system-levelconcurrent error detection and fault location scheme. The design problemfor an ABFT system is concerned with the construction of a check set fordetecting errors or faults. In this paper, we analyze the construction ofcheck sets from a combinatorial perspective, and propose a necessary andsufficient condition for the design of a check set that detects a givennumber of errors. We also propose a new bound for detecting three errorsfor algorithm-based fault tolerance systems.