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The paper is concerned with the reduction of overhead storage, i.e., the stored compression/decompression (C/D) table, in field-level data file compression. A large C/D table can occupy a lage fraction of maim memory space during compression and decompression, and may cause excessve page swapping in virtual memory systems. A two-stage approach is studied, including the reuired additional C/D table decompression time. It appears that the approach has limitations and is not completely satisfactory.