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- Krafts_inequality abstract "In coding theory, Kraft's inequality, named after Leon Kraft, gives both a necessary and sufficient condition for the existence of a prefix code for a given set of codeword lengths. Its applications to prefix codes and trees often find use in computer science and information theory.More specifically, Kraft's inequality limits the lengths of codewords in a prefix code: if one takes an exponential of the length of each valid codeword, the resulting set of values must look like a probability mass function, that is, it must have total measure less than or equal to one. Kraft's inequality can be thought of in terms of a constrained budget to be spent on codewords, with shorter codewords being more expensive. If Kraft's inequality holds with strict inequality, the code has some redundancy. If Kraft's inequality holds with equality, the code in question is a complete code. If Kraft's inequality does not hold, the code is not uniquely decodable.Kraft's inequality was published by Kraft (1949). However, Kraft's paper discusses only prefix codes, and attributes the analysis leading to the inequality to Raymond Redheffer. The inequality is sometimes also called the Kraft–McMillan theorem after the independent discovery of the result by McMillan (1956); McMillan proves the result for the general case of uniquely decodable codes, and attributes the version for prefix codes to a spoken observation in 1955 by Joseph Leo Doob.".
- Krafts_inequality thumbnail AVLtreef.svg?width=300.
- Krafts_inequality wikiPageExternalLink 12390.
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- Krafts_inequality wikiPageID "1471798".
- Krafts_inequality wikiPageLength "10594".
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- Krafts_inequality wikiPageRevisionID "681530975".
- Krafts_inequality wikiPageWikiLink Algorithmic_information_theory.
- Krafts_inequality wikiPageWikiLink Binary_tree.
- Krafts_inequality wikiPageWikiLink Canonical_Huffman_code.
- Krafts_inequality wikiPageWikiLink Cartesian_product.
- Krafts_inequality wikiPageWikiLink Category:Coding_theory.
- Krafts_inequality wikiPageWikiLink Category:Inequalities.
- Krafts_inequality wikiPageWikiLink Chaitins_constant.
- Krafts_inequality wikiPageWikiLink Code.
- Krafts_inequality wikiPageWikiLink Code_word.
- Krafts_inequality wikiPageWikiLink Coding_theory.
- Krafts_inequality wikiPageWikiLink Computer_science.
- Krafts_inequality wikiPageWikiLink Exponential_function.
- Krafts_inequality wikiPageWikiLink Information_theory.
- Krafts_inequality wikiPageWikiLink Joseph_L._Doob.
- Krafts_inequality wikiPageWikiLink Leon_Kraft.
- Krafts_inequality wikiPageWikiLink Massachusetts_Institute_of_Technology.
- Krafts_inequality wikiPageWikiLink Prefix_code.
- Krafts_inequality wikiPageWikiLink Probability_mass_function.
- Krafts_inequality wikiPageWikiLink Radix_point.
- Krafts_inequality wikiPageWikiLink Raymond_Redheffer.
- Krafts_inequality wikiPageWikiLink Redundancy_(information_theory).
- Krafts_inequality wikiPageWikiLink Series_(mathematics).
- Krafts_inequality wikiPageWikiLink Tree_(data_structure).
- Krafts_inequality wikiPageWikiLink Variable-length_code.
- Krafts_inequality wikiPageWikiLink File:AVLtreef.svg.
- Krafts_inequality wikiPageWikiLink File:Kraft_inequality_example.png.
- Krafts_inequality wikiPageWikiLinkText "Kraft–McMillan theorem".
- Krafts_inequality wikiPageWikiLinkText "Kraft's inequality".
- Krafts_inequality wikiPageWikiLinkText "Kraft–McMillan theorem".
- Krafts_inequality wikiPageUsesTemplate Template:Citation.
- Krafts_inequality wikiPageUsesTemplate Template:Harvtxt.
- Krafts_inequality wikiPageUsesTemplate Template:Reflist.
- Krafts_inequality subject Category:Coding_theory.
- Krafts_inequality subject Category:Inequalities.
- Krafts_inequality type Encoding.
- Krafts_inequality type Inequality.
- Krafts_inequality type Relation.
- Krafts_inequality type Theorem.
- Krafts_inequality comment "In coding theory, Kraft's inequality, named after Leon Kraft, gives both a necessary and sufficient condition for the existence of a prefix code for a given set of codeword lengths.".
- Krafts_inequality label "Kraft's inequality".
- Krafts_inequality sameAs Q371685.
- Krafts_inequality sameAs Kraftova_nerovnost.
- Krafts_inequality sameAs Kraft-Ungleichung.
- Krafts_inequality sameAs Desigualdad_de_Kraft.
- Krafts_inequality sameAs Inégalité_de_Kraft.
- Krafts_inequality sameAs אי-שוויון_קראפט.
- Krafts_inequality sameAs Disuguaglianza_di_Kraft-McMillan.
- Krafts_inequality sameAs クラフトの不等式.
- Krafts_inequality sameAs Крафтын_тэнцэтгэл_биш.
- Krafts_inequality sameAs Nierówność_Krafta-McMillana.
- Krafts_inequality sameAs m.0545k8.
- Krafts_inequality sameAs Неравенство_Крафта_—_Макмиллана.
- Krafts_inequality sameAs Нерівність_Крафта_-_Макміллана.
- Krafts_inequality sameAs Q371685.
- Krafts_inequality sameAs 克拉夫特不等式.
- Krafts_inequality wasDerivedFrom Krafts_inequality?oldid=681530975.
- Krafts_inequality depiction AVLtreef.svg.
- Krafts_inequality isPrimaryTopicOf Krafts_inequality.