A Method for the Construction of Minimum-Redundancy Codes

From MaRDI portal
Publication:5510070

DOI10.1109/JRPROC.1952.273898zbMath0137.13605WikidataQ54105217 ScholiaQ54105217MaRDI QIDQ5510070

David A. Huffman

Publication date: 1952

Published in: Proceedings of the IRE (Search for Journal in Brave)




Related Items

Dynamic programming and graph optimization problemsOn polychotomous search problemsA novel DNA sequence similarity calculation based on simplified pulse-coupled neural network and Huffman codingA short note on the redundancy of degree \(\alpha\)Efficient Huffman decodingPartitions with minimum entropy of regions in \(\mathbb R^{2}\)Complexity aspects of guessing prefix codesOn the redundancy of \(D\)-ary Fano codesComment on ``Efficient Huffman decoding and ``An efficient finite-state machine implementation of Huffman decodersA memory-efficient and fast Huffman decoding algorithmA novel block-based scheme for arithmetic codingProof pearl: Mechanizing the textbook proof of Huffman's algorithmSearch problems: One, two or many roundsComplete variable-length ``fix-free codesDynamic Shannon codingMathematical optimization and the synchronizing properties of encodingsArea and power reduction of embedded DSP systems using instruction compression and re-configurable encodingLearning decomposable Markov networks in pseudo-independent domains with local evaluationOn the redundancy achieved by Huffman codesThe discovery of algorithmic probabilityA criticism of the ACW algorithmPractical and flexible pattern matching over Ziv-Lempel compressed text.Two new perspectives on multi-stage group testingAn efficient raster font compression for embedded systemsOperations research applications of dichotomous searchOn compressing permutations and adaptive sortingOn partial state matchingCorrectness of constructing optimal alphabetic trees revisitedOn parsing optimality for dictionary-based text compression -- the \texttt{Zip} caseRandom walks and diffusion on networksOn finding minimal length superstringsA novel edge based image steganography with \(2^k\) correction and Huffman encodingA fast dynamic compression scheme for natural language textsFast decoding algorithms for variable-lengths codesExact and approximation algorithms for error-detecting even codesBest Huffman treesDetecting life signatures with RNA sequence similarity measuresNew optimization models for designing synchronizing codesHuffman's algorithm via algebraEffective dimensions and relative frequenciesTrees with exponentially growing costsTextual data compression in computational biology: algorithmic techniquesTwo-base numeration systemsConstructing binary Huffman treeEfficient fully-compressed sequence representationsAn adaptive character wordlength algorithm for data compressionA sensor-based framework for kinetic data compressionWeighted height of random treesA million answers to twenty questions: choosing by checklistOn the generalization and improvement of QSDC efficiency achieved through a quantum channel compressionTesting the optimality of alphabetic treesParallel lossless image compression using Huffman and arithmetic codingMaximizing Wiener index for trees with given vertex weight and degree sequencesThe memory centerData compression with factor automataInformation lower bounds via self-reducibilityAlgorithmic information and simplicity in statistical physicsA novel lossless data compression scheme based on the error correcting Hamming codesA joint representation of Rényi's and Tsalli's entropy with application in coding theoryIs Huffmann coding dead?Big data naturally rescaledHuffman coding with non-sorted frequenciesLRM-trees: compressed indices, adaptive sorting, and compressed permutationsA note on the construction of error detecting/correcting prefix codesMinimax trees in linear time with applicationsA complementary view on the growth of directory treesDevelopment of two new mean codeword lengthsArithmetic coding as a non-linear dynamical systemJoint compression and encryption using chaotically mutated Huffman treesAlphabetic coding with exponential costsLempel-Ziv-78 compressed string dictionariesFinite-state independenceGeometric compression of a quadrilateral meshCompressed depth sequencesBinary search with delayed and missing answersHydrozip: how hydrological knowledge can be used to improve compression of hydrological dataDecision problems under uncertainty based on entropy functionalsThe \(S\)-digraph optimization problem and the greedy algorithmAn extension of Khrapchenko's theoremXML compression techniques: A survey and comparisonHuffman codes and maximizing properties of Fibonacci numbersA predetermined algorithm for detecting a counterfeit coin with a multi-arms balanceOptimal representation in average using Kolmogorov complexityOn the construction of prefix-free and fix-free codes with specified codeword compositionsRegular expression searching on compressed textApproximate string matching on Ziv--Lempel compressed textOptimal binary trees with order constraintsLossless image compression based on multiple-tables arithmetic codingA review on the application of fuzzy transform in data and image compressionSynchronizing codewords of \(q\)-ary Huffman codesNeural associative memory for brain modeling and information retrievalNew bounds on \(D\)-ary optimal codesOn the balanced minimum evolution polytopeCompressing probability distributionsA space-efficient Huffman decoding algorithm and its parallelismText compression methodsHuffman algebras for independent random variablesWorst-case analysis of the iterated longest fragment algorithmAn efficient decoding technique for Huffman codesProtocols for asymmetric communication channelsA Systematic Approach and Analysis of Key Mismatch Attacks on Lattice-Based NIST Candidate KEMsTime series compression based on reinforcement learningLightweight compression with encryption based on asymmetric numeral systemsVariability as a better characterization of Shannon entropyOptimal Sets of Questions for Twenty QuestionsThe cut operation in subclasses of convex languagesProtein Sequence Comparison Method Based on 3-ary Huffman CodingAn Introduction to Neural Data CompressionHardness of \textsc{Balanced Mobiles}Enhanced ternary Fibonacci codesThe work of Mark BravermanCommunication and information complexityBitmaps and filters for attribute-oriented searchesAlgorithmsUnnamed ItemAdaptive arithmetic coding using fuzzy reasoning and grey predictionOptimal binary search treesA combinatorial approach to Golomb forestsOn the importance of error resilience in visual communications over noisy channelsGenerating probabilities with a specified entropyEfficient and compact representations of some non-canonical prefix-free codesForward looking Huffman codingGeneralizations of Code Languages with Marginal ErrorsCommon Information, Noise Stability, and Their ExtensionsRevisiting Nested Group Testing Procedures: New Results, Comparisons, and RobustnessImage coding based on maximum entropy partitioning for identifying improbable intensities related to facial expressionsSet Orderings Requiring Costliest Alphabetic Binary TreesThe F-transform preprocessing for JPEG strong compression of high-resolution imagesPass-efficient methods for compression of high-dimensional turbulent flow dataBlock Huffman codingOn the maximum length of Huffman codesThe design and implementation of the Gecko NFS Web proxyRandomized Group Testing Both Query-Optimal and Minimal AdaptiveOptimal Skeleton Huffman Trees RevisitedLossless compression and information hiding in imagesGeneralizations of Code Languages with Marginal Errors(R, S)-Norm Information Measure and A Relation Between Coding and Questionnaire TheoryIn-place calculation of minimum-redundancy codesADAPTING BOYER-MOORE-LIKE ALGORITHMS FOR SEARCHING HUFFMAN ENCODED TEXTSOptimal detection of a counterfeit coin with multi-arms balancesWorst-Case Optimal Adaptive Prefix CodingA new weighted \((\alpha, \beta)\)-norm information measure with application in coding theoryA fast algorithm for adaptive prefix codingParallel construction of binary trees with near optimal weighted path lengthFinite state models for perceptionGrammar compressed sequences with rank/select supportThe topology of languageThe cut operation in subclasses of convex languages (extended abstract)Optimal synchronous codingWeighted forward looking adaptive codingUnnamed ItemUnnamed ItemApproximation Algorithms for Key Management in Secure MulticastRobust universal complete codes for transmission and compressionMore Efficient Algorithms and Analyses for Unequal Letter Cost Prefix-Free CodingInformation dynamics at a phase transitionFuzzy concept lattice reduction using Shannon entropy and Huffman codingContext adaptive residual coding for efficient compression of MCEEG employing wave atom transformsA generalization of circulant Hadamard and conference matricesPractical Wavelet Tree ConstructionColor image steganography scheme using gray invariant in AMBTC compression domainOn the stability of citation networksEffective Dimensions and Relative FrequenciesASYMPTOTIC ANALYSIS OF OPTIMAL NESTED GROUP-TESTING PROCEDURESBidirectional adaptive compressionUsing compressed suffix-arrays for a compact representation of temporal-graphsDiscrete Wavelet Compression of ERBSA new protocol for the detection of node replication attacks in mobile wireless sensor networksOn the optimality of a simple prefix codeConstructions for variable-length error-correcting codesGrafting key trees: efficient key management for overlapping groupsWavelet trees for allOnline binary minimax treesEfficient Associative Computation with Discrete SynapsesOptimal skeleton and reduced Huffman treesJoint Source-Cryptographic-Channel Coding Based on Linear Block CodesPrefix codes: Equiprobable words, unequal letter costsComplexity Questions in Non-Uniform Random Variate GenerationDe Novo NGS Data CompressionOptimal Skeleton Huffman TreesA simpler analysis of Burrows-Wheeler-based compressionCompressing table data with column dependencyLRM-Trees: Compressed Indices, Adaptive Sorting, and Compressed PermutationsOn the Huffman and alphabetic tree problem with general cost functionsInvestigation of block-sorting of multiset permutationsHIERARCHIES OF GENERALIZED KOLMOGOROV COMPLEXITIES AND NONENUMERABLE UNIVERSAL MEASURES COMPUTABLE IN THE LIMITL-Identification for Uniformly Distributed Sources and the q-ary Identification Entropy of Second OrderEnumerating vertices of the balanced minimum evolution polytopeOn the relation between the maximum entropy principle and the principle of least effortA fast and efficient nearly-optimal adaptive Fano coding schemeProcédures optimales pour le classement des $t$ meilleurs articles parmi $n$ au moyen de comparaisons binairesUnnamed ItemOptimal prefix codes with fewer distinct codeword lengths are faster to constructLink-Level AspectsSterrett procedure for the generalized group testing problemThe Vcodex Platform for Data CompressionUnnamed ItemGeneralized Huffman coding for binary trees with choosable edge lengthsAccelerated partial decoding in wavelet treesEfficient quantum secure direct communication protocol based on quantum channel compressionMining Compressing Sequential PatternsCompact structure for sparse undirected graphs based on a clique graph partitionThe design and implementation of a scheme for large ordered indicesThe order of merging operations for queries in inverted file systemsJoint image compression-encryption scheme using entropy coding and compressive sensingTight lower bound for average number of terms in optimal double-base number system using information-theoretic toolsReflections on Optimal and Nearly Optimal Binary Search TreesOptimal Prefix Codes And Huffman CodesImage compression with anisotropic diffusionA note on growing binary treesBounds on the weighted path length of binary treesEntropy-based Optimal Group-testing ProceduresVariable-length codes independent or closed with respect to edit relationsThe cost of a class of optimal binary treesKolmogorov Complexity in Perspective Part I: Information Theory and RandomnessA dynamical systems proof of Kraft–McMillan inequality and its converse for prefix-free codesSpace-efficient Huffman codes revisitedCompror: On-line lossless data compression with a factor oracle.Improved bounds for asymmetric communication protocols.Unnamed ItemOptimum extensions of prefix codes.Identification for SourcesIdentification EntropyNew compression schemes for natural number sequencesOn Undetected Redundancy in the Burrows-Wheeler Transform