Investigation of Golay Code (8, 12, 24) Structure in Improving Search Techniques

Investigation of Golay Code (8, 12, 24) Structure ‎
in Improving Search Techniques


Eyas El-Qawasmeh1, Maytham Safar2, and Talal Kanan3‎
‎1College of Computer and Information Sciences, King Saud University, Saudi Arabia
‎2Department of Computer Science, Jordan University of Science and Technology, Jordan ‎
‎3Department of Computer Engineering, Kuwait University, Kuwait‎



Abstract: This paper presents a new technique for hash searching that is designed for approximate matching problem of multi-attribute ‎objects. The suggested technique can be used for improving the search operation when the multi-attribute objects are partially ‎distorted or when the searching criterion is not specified properly. The suggested approach is based upon reversing the ‎conventional scheme of Golay code (8, 12, 24), which maps 24-bit vectors into 12-bit message words. In this technique, a ‎multi-dimensional space is used to represent objects, where each object is given by a 24-bit vector. The closeness of the objects ‎is determined by partitioning a 24-dimensional cube. In addition, the possibility of 1-bit distortions is considered through bit ‎modifications of the 24-bit vectors. Thus, we proposed a hash table of 4096 entries that is fault-tolerant in the sense that the ‎index is the same for any two different 24-bit vectors that share the same sphere. This allows organizing a direct retrieval of a ‎neighborhood of 24-bit vectors with two or possibly more mismatches. The simulation experiments measured the retrieval ‎capabilities of the proposed system and the expected hash distribution. ‎

Keywords: Golay code, information retrieval, distortion, and hashing.‎

Received December 25, 2008; accepted August 3, 2009‎

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