A General Framework for Codes Involving Redundancy Minimization

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dc.creatorBaer, Michael B.
dc.date2005-08-18
dc.date2005-11-01
dc.date.accessioned2026-07-07T08:17:50Z
dc.date.available2026-07-07T08:17:50Z
dc.descriptionA framework with two scalar parameters is introduced for various problems of finding a prefix code minimizing a coding penalty function. The framework encompasses problems previously proposed by Huffman, Campbell, Nath, and Drmota and Szpankowski, shedding light on the relationships among these problems. In particular, Nath's range of problems can be seen as bridging the minimum average redundancy problem of Huffman with the minimum maximum pointwise redundancy problem of Drmota and Szpankowski. Using this framework, two linear-time Huffman-like algorithms are devised for the minimum maximum pointwise redundancy problem, the only one in the framework not previously solved with a Huffman-like algorithm. Both algorithms provide solutions common to this problem and a subrange of Nath's problems, the second algorithm being distinguished by its ability to find the minimum variance solution among all solutions common to the minimum maximum pointwise redundancy and Nath problems. Simple redundancy bounds are also presented.
dc.description7 pages, 5 figures, submitted to IEEE Trans. Inform. Theory
dc.identifierhttps://arxiv.org/abs/cs/0508083
dc.identifierhttp://arxiv.org/abs/cs/0508083
dc.identifierIEEE Transactions on Information Theory (2006)
dc.identifierdoi:10.1109/TIT.2005.860469
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134230
dc.subjectInformation Theory
dc.subjectData Structures and Algorithms
dc.subjectE.4; H.1.1
dc.titleA General Framework for Codes Involving Redundancy Minimization
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