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- Generalized_minimum-distance_decoding abstract "In coding theory, generalized minimum-distance (GMD) decoding provides an efficient algorithm for decoding concatenated codes, which is based on using an errors-and-erasures decoder for the outer code.A naive decoding algorithm for concatenated codes can not be an optimal way of decoding because it does not take into account the information that maximum likelihood decoding (MLD) gives. In other words, in the naive algorithm, inner received codewords are treated the same regardless of the difference between their hamming distances. Intuitively, the outer decoder should place higher confidence in symbols whose inner encodings are close to the received word. David Forney in 1966 devised a better algorithm called generalized minimum distance (GMD) decoding which makes use of those information better. This method is achieved by measuring confidence of each received codeword, and erasing symbols whose confidence is below a desired value. And GMD decoding algorithm was one of the first examples of soft-decision decoders. We will present three versions of the GMD decoding algorithm. The first two will be randomized algorithms while the last one will be a deterministic algorithm.".
- Generalized_minimum-distance_decoding wikiPageExternalLink FT01.
- Generalized_minimum-distance_decoding wikiPageExternalLink 06au.
- Generalized_minimum-distance_decoding wikiPageExternalLink lectures.
- Generalized_minimum-distance_decoding wikiPageExternalLink lect28.pdf.
- Generalized_minimum-distance_decoding wikiPageID "31707735".
- Generalized_minimum-distance_decoding wikiPageLength "12495".
- Generalized_minimum-distance_decoding wikiPageOutDegree "40".
- Generalized_minimum-distance_decoding wikiPageRevisionID "659882104".
- Generalized_minimum-distance_decoding wikiPageWikiLink Algorithm.
- Generalized_minimum-distance_decoding wikiPageWikiLink Berlekamp–Welch_algorithm.
- Generalized_minimum-distance_decoding wikiPageWikiLink Category:Coding_theory.
- Generalized_minimum-distance_decoding wikiPageWikiLink Category:Error_detection_and_correction.
- Generalized_minimum-distance_decoding wikiPageWikiLink Category:Finite_fields.
- Generalized_minimum-distance_decoding wikiPageWikiLink Category:Information_theory.
- Generalized_minimum-distance_decoding wikiPageWikiLink Code.
- Generalized_minimum-distance_decoding wikiPageWikiLink Code_word.
- Generalized_minimum-distance_decoding wikiPageWikiLink Coding_theory.
- Generalized_minimum-distance_decoding wikiPageWikiLink Concatenated_error_correction_code.
- Generalized_minimum-distance_decoding wikiPageWikiLink Dave_Forney.
- Generalized_minimum-distance_decoding wikiPageWikiLink Decoding_methods.
- Generalized_minimum-distance_decoding wikiPageWikiLink Deterministic_algorithm.
- Generalized_minimum-distance_decoding wikiPageWikiLink Dummy_variable_(statistics).
- Generalized_minimum-distance_decoding wikiPageWikiLink Equality_(mathematics).
- Generalized_minimum-distance_decoding wikiPageWikiLink Erasure_code.
- Generalized_minimum-distance_decoding wikiPageWikiLink Error.
- Generalized_minimum-distance_decoding wikiPageWikiLink Euclidean_vector.
- Generalized_minimum-distance_decoding wikiPageWikiLink Expected_value.
- Generalized_minimum-distance_decoding wikiPageWikiLink Hamming_distance.
- Generalized_minimum-distance_decoding wikiPageWikiLink Lemma_(mathematics).
- Generalized_minimum-distance_decoding wikiPageWikiLink Linearity.
- Generalized_minimum-distance_decoding wikiPageWikiLink Noisy-channel_coding_theorem.
- Generalized_minimum-distance_decoding wikiPageWikiLink Probability_density_function.
- Generalized_minimum-distance_decoding wikiPageWikiLink Probability_distribution.
- Generalized_minimum-distance_decoding wikiPageWikiLink Randomized_algorithm.
- Generalized_minimum-distance_decoding wikiPageWikiLink Randomness.
- Generalized_minimum-distance_decoding wikiPageWikiLink Real_number.
- Generalized_minimum-distance_decoding wikiPageWikiLink Reed–Solomon_error_correction.
- Generalized_minimum-distance_decoding wikiPageWikiLink Soft-decision_decoder.
- Generalized_minimum-distance_decoding wikiPageWikiLink Time_complexity.
- Generalized_minimum-distance_decoding wikiPageWikiLinkText "Generalized minimum-distance decoding".
- Generalized_minimum-distance_decoding subject Category:Coding_theory.
- Generalized_minimum-distance_decoding subject Category:Error_detection_and_correction.
- Generalized_minimum-distance_decoding subject Category:Finite_fields.
- Generalized_minimum-distance_decoding subject Category:Information_theory.
- Generalized_minimum-distance_decoding type Algorithm.
- Generalized_minimum-distance_decoding type Encoding.
- Generalized_minimum-distance_decoding type Field.
- Generalized_minimum-distance_decoding type Protocol.
- Generalized_minimum-distance_decoding comment "In coding theory, generalized minimum-distance (GMD) decoding provides an efficient algorithm for decoding concatenated codes, which is based on using an errors-and-erasures decoder for the outer code.A naive decoding algorithm for concatenated codes can not be an optimal way of decoding because it does not take into account the information that maximum likelihood decoding (MLD) gives.".
- Generalized_minimum-distance_decoding label "Generalized minimum-distance decoding".
- Generalized_minimum-distance_decoding sameAs Q15995090.
- Generalized_minimum-distance_decoding sameAs m.0gtvd9b.
- Generalized_minimum-distance_decoding sameAs Q15995090.
- Generalized_minimum-distance_decoding wasDerivedFrom Generalized_minimum-distance_decoding?oldid=659882104.
- Generalized_minimum-distance_decoding isPrimaryTopicOf Generalized_minimum-distance_decoding.