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- Even_code abstract "A binary code is called an even code if the Hamming weight of each of its codewords is even. An even code should have a generator polynomial that include (1+x) minimal polynomial as a product. Furthermore, a binary code is called doubly even if the Hamming weight of all its codewords is divisible by 4. An even code which is not doubly even is said to be strictly even.Examples of doubly even codes are the extended binary Hamming code of block length 8 and the extended binary Golay code of block length 24. These two codes are, in addition, self-dual.This article incorporates material from even code on PlanetMath, which is licensed under the Creative Commons Attribution/Share-Alike License.".
- Even_code wikiPageID "4706915".
- Even_code wikiPageLength "772".
- Even_code wikiPageOutDegree "8".
- Even_code wikiPageRevisionID "633318163".
- Even_code wikiPageWikiLink Binary_Golay_code.
- Even_code wikiPageWikiLink Category:Coding_theory.
- Even_code wikiPageWikiLink Category:Parity_(mathematics).
- Even_code wikiPageWikiLink Dual_code.
- Even_code wikiPageWikiLink Hamming_code.
- Even_code wikiPageWikiLink Hamming_weight.
- Even_code wikiPageWikiLink Linear_code.
- Even_code wikiPageWikiLink Singly_and_doubly_even.
- Even_code wikiPageWikiLinkText "Even code".
- Even_code wikiPageWikiLinkText "even code".
- Even_code wikiPageWikiLinkText "even".
- Even_code id "7047".
- Even_code title "even code".
- Even_code wikiPageUsesTemplate Template:Crypto-stub.
- Even_code wikiPageUsesTemplate Template:PlanetMath_attribution.
- Even_code subject Category:Coding_theory.
- Even_code subject Category:Parity_(mathematics).
- Even_code type Encoding.
- Even_code type Integer.
- Even_code type Source.
- Even_code comment "A binary code is called an even code if the Hamming weight of each of its codewords is even. An even code should have a generator polynomial that include (1+x) minimal polynomial as a product. Furthermore, a binary code is called doubly even if the Hamming weight of all its codewords is divisible by 4.".
- Even_code label "Even code".
- Even_code sameAs Q5416566.
- Even_code sameAs m.0cjb_k.
- Even_code sameAs Q5416566.
- Even_code wasDerivedFrom Even_code?oldid=633318163.
- Even_code isPrimaryTopicOf Even_code.