Combinatorial Analysis of Check Set Construction for Algorithm-Based Fault Tolerance Systems

  • Authors:
  • De-Qiang Wang;Lian-Chang Zhao

  • Affiliations:
  • Department of Basic Sciences, Dalian Maritime University, Dalian 116026, P.R. China;Department of Basic Sciences, Dalian Maritime University, Dalian 116026, P.R. China

  • Venue:
  • Journal of Electronic Testing: Theory and Applications
  • Year:
  • 1998

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Abstract

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.