Improving Information Retrieval System Security via an Optimal Maximal Coding Scheme
EurAsia-ICT '02 Proceedings of the First EurAsian Conference on Information and Communication Technology
PCM '01 Proceedings of the Second IEEE Pacific Rim Conference on Multimedia: Advances in Multimedia Information Processing
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Abstract: Novel maximal encoding, encoding, and maximal prefix encoding different from the Huffman encoding are introduced. It is proven that for finite source alphabets all Huffman codes are optimal maximal codes, codes, and maximal prefix codes. Conversely, the above three types of optimal codes need not to be the Huffman codes. Completely similar to Huffman codes, we prove that for every random variable with a countably infinite set of outcomes and with finite entropy there exists an optimal maximal code (code, maximal prefix code) which can be constructed from optimal maximal codes (codes, maximal prefix codes) for truncated versions of the random variable, and furthermore, that the average code word lengths of any sequence of optimal maximal codes (codes, maximal prefix codes) for the truncated versions converge to the that of the optimal maximal code (code, maximal prefix code).