{"id":"https://openalex.org/W2963984992","doi":"https://doi.org/10.1134/s0032946015030023","title":"Decoding of repeated-root cyclic codes up to new bounds on their minimum distance","display_name":"Decoding of repeated-root cyclic codes up to new bounds on their minimum distance","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W2963984992","doi":"https://doi.org/10.1134/s0032946015030023","mag":"2963984992"},"language":"en","primary_location":{"id":"doi:10.1134/s0032946015030023","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946015030023","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Problems of Information Transmission","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024013562","display_name":"Alexander Zeh","orcid":"https://orcid.org/0000-0002-5044-4940"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"A. Zeh","raw_affiliation_strings":["Computer Science Department, Technion, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Technion, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037228014","display_name":"Markus Ulmschneider","orcid":"https://orcid.org/0000-0001-7241-7057"},"institutions":[{"id":"https://openalex.org/I2898391981","display_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","ror":"https://ror.org/04bwf3e34","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2898391981"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Ulmschneider","raw_affiliation_strings":["Institute of Communications and Navigation, German Aerospace Center (DLR), Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Communications and Navigation, German Aerospace Center (DLR), Berlin, Germany","institution_ids":["https://openalex.org/I2898391981"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024013562"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":1.2943,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.87342831,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"51","issue":"3","first_page":"217","last_page":"230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7596580982208252},{"id":"https://openalex.org/keywords/cyclic-code","display_name":"Cyclic code","score":0.7419861555099487},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.7209393978118896},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.6570037007331848},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6318929195404053},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.5757198333740234},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.48393967747688293},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4633268713951111},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4501703083515167},{"id":"https://openalex.org/keywords/root","display_name":"Root (linguistics)","score":0.44222643971443176},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.43249544501304626},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42143556475639343},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.360928475856781},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33328768610954285},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.194898784160614}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7596580982208252},{"id":"https://openalex.org/C2096984","wikidata":"https://www.wikidata.org/wiki/Q245464","display_name":"Cyclic code","level":5,"score":0.7419861555099487},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.7209393978118896},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.6570037007331848},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6318929195404053},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.5757198333740234},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.48393967747688293},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4633268713951111},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4501703083515167},{"id":"https://openalex.org/C171078966","wikidata":"https://www.wikidata.org/wiki/Q111029","display_name":"Root (linguistics)","level":2,"score":0.44222643971443176},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.43249544501304626},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42143556475639343},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.360928475856781},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33328768610954285},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.194898784160614},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1134/s0032946015030023","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946015030023","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Problems of Information Transmission","raw_type":"journal-article"},{"id":"pmh:oai:elib.dlr.de:102805","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196266","display_name":"elib (German Aerospace Center)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2898391981","host_organization_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","host_organization_lineage":["https://openalex.org/I2898391981"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Zeitschriftenbeitrag"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W91966705","https://openalex.org/W111799224","https://openalex.org/W287165575","https://openalex.org/W311000671","https://openalex.org/W1606480398","https://openalex.org/W1742722224","https://openalex.org/W1910703915","https://openalex.org/W1985655855","https://openalex.org/W1995527419","https://openalex.org/W1998064108","https://openalex.org/W2015848652","https://openalex.org/W2023863342","https://openalex.org/W2029600846","https://openalex.org/W2034734223","https://openalex.org/W2039466900","https://openalex.org/W2039541047","https://openalex.org/W2071184318","https://openalex.org/W2083774980","https://openalex.org/W2085440372","https://openalex.org/W2088040884","https://openalex.org/W2090721735","https://openalex.org/W2096641276","https://openalex.org/W2098158374","https://openalex.org/W2102759336","https://openalex.org/W2125835953","https://openalex.org/W2131202858","https://openalex.org/W2132376394","https://openalex.org/W2137476296","https://openalex.org/W2138653745","https://openalex.org/W2143062461","https://openalex.org/W2158558186","https://openalex.org/W2161496548","https://openalex.org/W2543390563","https://openalex.org/W3141217652","https://openalex.org/W3216147140","https://openalex.org/W4255258463"],"related_works":["https://openalex.org/W4302771537","https://openalex.org/W2951416090","https://openalex.org/W43044209","https://openalex.org/W2740543340","https://openalex.org/W2562336992","https://openalex.org/W2058919686","https://openalex.org/W2014631828","https://openalex.org/W4285078748","https://openalex.org/W1964096323","https://openalex.org/W2364890299"],"abstract_inverted_index":{"The":[0],"well-known":[1],"approach":[2],"of":[3,23,35,74],"Bose,":[4],"Ray-Chaudhuri,":[5],"and":[6,8,13,39],"Hocquenghem":[7],"its":[9],"generalization":[10],"by":[11],"Hartmann":[12],"Tzeng":[14],"are":[15],"lower":[16],"bounds":[17,31],"on":[18,52,71,95],"the":[19,33,66,72,96],"minimum":[20,67],"Hamming":[21,68],"distance":[22,69],"simple-root":[24],"cyclic":[25,37,56,78,83],"codes.":[26],"We":[27],"generalize":[28],"these":[29],"two":[30],"to":[32],"case":[34],"repeated-root":[36,77,82],"codes":[38],"present":[40,60],"a":[41,61,75,81],"syndrome-based":[42],"burst":[43,90],"error":[44,91],"decoding":[45,49,92],"algorithm":[46],"with":[47],"guaranteed":[48],"radius":[50],"based":[51,70,94],"an":[53],"associated":[54],"folded":[55],"code.":[57,85],"Furthermore,":[58],"we":[59],"third":[62,97],"technique":[63],"for":[64],"bounding":[65],"embedding":[73],"given":[76],"code":[79],"into":[80],"product":[84],"A":[86],"second":[87],"quadratic-time":[88],"probabilistic":[89],"procedure":[93],"bound":[98],"is":[99],"outlined.":[100]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}