A Balanced Decision Tree Based Heuristic for Linear Decomposition of Index Generation Functions

  • NAGAYAMA Shinobu
    Department of Computer and Network Engineering, Hiroshima City University
  • SASAO Tsutomu
    Department of Computer Science, Meiji University
  • T. BUTLER Jon
    Department of Electrical and Computer Engineering, Naval Postgraduate School

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<p>Index generation functions model content-addressable memory, and are useful in virus detectors and routers. Linear decompositions yield simpler circuits that realize index generation functions. This paper proposes a balanced decision tree based heuristic to efficiently design linear decompositions for index generation functions. The proposed heuristic finds a good linear decomposition of an index generation function by using appropriate cost functions and a constraint to construct a balanced tree. Since the proposed heuristic is fast and requires a small amount of memory, it is applicable even to large index generation functions that cannot be solved in a reasonable time by existing heuristics. This paper shows time and space complexities of the proposed heuristic, and experimental results using some large examples to show its efficiency.</p>

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