{"id":"https://openalex.org/W2124455516","doi":"https://doi.org/10.1109/itw.2005.1531860","title":"A finite-field transform domain construction of binary low-density parity-check codes","display_name":"A finite-field transform domain construction of binary low-density parity-check codes","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2124455516","doi":"https://doi.org/10.1109/itw.2005.1531860","mag":"2124455516"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2005.1531860","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2005.1531860","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Information Theory Workshop, 2005.","raw_type":"proceedings-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/A5108514795","display_name":"Robin Horan","orcid":null},"institutions":[{"id":"https://openalex.org/I897542642","display_name":"University of Plymouth","ror":"https://ror.org/008n7pv89","country_code":"GB","type":"education","lineage":["https://openalex.org/I897542642"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"R. Horan","raw_affiliation_strings":["University of Plymouth, Plymouth, UK","Fixed & Mobile Commun. Res., Plymouth Univ., UK"],"affiliations":[{"raw_affiliation_string":"University of Plymouth, Plymouth, UK","institution_ids":["https://openalex.org/I897542642"]},{"raw_affiliation_string":"Fixed & Mobile Commun. Res., Plymouth Univ., UK","institution_ids":["https://openalex.org/I897542642"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068650359","display_name":"Cen Jung Tjhai","orcid":null},"institutions":[{"id":"https://openalex.org/I897542642","display_name":"University of Plymouth","ror":"https://ror.org/008n7pv89","country_code":"GB","type":"education","lineage":["https://openalex.org/I897542642"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"C. Tjhai","raw_affiliation_strings":["University of Plymouth, Plymouth, UK","Fixed & Mobile Commun. Res., Plymouth Univ., UK"],"affiliations":[{"raw_affiliation_string":"University of Plymouth, Plymouth, UK","institution_ids":["https://openalex.org/I897542642"]},{"raw_affiliation_string":"Fixed & Mobile Commun. Res., Plymouth Univ., UK","institution_ids":["https://openalex.org/I897542642"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113665216","display_name":"M. Tomlinson","orcid":null},"institutions":[{"id":"https://openalex.org/I897542642","display_name":"University of Plymouth","ror":"https://ror.org/008n7pv89","country_code":"GB","type":"education","lineage":["https://openalex.org/I897542642"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. Tomlinson","raw_affiliation_strings":["University of Plymouth, Plymouth, UK","Fixed & Mobile Commun. Res., Plymouth Univ., UK"],"affiliations":[{"raw_affiliation_string":"University of Plymouth, Plymouth, UK","institution_ids":["https://openalex.org/I897542642"]},{"raw_affiliation_string":"Fixed & Mobile Commun. Res., Plymouth Univ., UK","institution_ids":["https://openalex.org/I897542642"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077402042","display_name":"Marcel Ambroze","orcid":"https://orcid.org/0000-0001-9021-1095"},"institutions":[{"id":"https://openalex.org/I897542642","display_name":"University of Plymouth","ror":"https://ror.org/008n7pv89","country_code":"GB","type":"education","lineage":["https://openalex.org/I897542642"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. Ambroze","raw_affiliation_strings":["University of Plymouth, Plymouth, UK","Fixed & Mobile Commun. Res., Plymouth Univ., UK"],"affiliations":[{"raw_affiliation_string":"University of Plymouth, Plymouth, UK","institution_ids":["https://openalex.org/I897542642"]},{"raw_affiliation_string":"Fixed & Mobile Commun. Res., Plymouth Univ., UK","institution_ids":["https://openalex.org/I897542642"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085558383","display_name":"Mohammed Ahmed","orcid":"https://orcid.org/0000-0002-6323-0300"},"institutions":[{"id":"https://openalex.org/I897542642","display_name":"University of Plymouth","ror":"https://ror.org/008n7pv89","country_code":"GB","type":"education","lineage":["https://openalex.org/I897542642"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. Ahmed","raw_affiliation_strings":["University of Plymouth, Plymouth, UK","Fixed & Mobile Commun. Res., Plymouth Univ., UK"],"affiliations":[{"raw_affiliation_string":"University of Plymouth, Plymouth, UK","institution_ids":["https://openalex.org/I897542642"]},{"raw_affiliation_string":"Fixed & Mobile Commun. Res., Plymouth Univ., UK","institution_ids":["https://openalex.org/I897542642"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5108514795"],"corresponding_institution_ids":["https://openalex.org/I897542642"],"apc_list":null,"apc_paid":null,"fwci":0.2595,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.65544102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"e86 a","issue":null,"first_page":"5 pp.","last_page":"5 pp."},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9991999864578247,"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/T11130","display_name":"Coding theory and cryptography","score":0.9991999864578247,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parity-check-matrix","display_name":"Parity-check matrix","score":0.7277302742004395},{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.6455588340759277},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6053352355957031},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.576151430606842},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5451861619949341},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5076664686203003},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.4940634071826935},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4772058427333832},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.4633261561393738},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.45665988326072693},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.4231146275997162},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4111032485961914},{"id":"https://openalex.org/keywords/parity-bit","display_name":"Parity bit","score":0.41069722175598145},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.35014769434928894},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3057522177696228},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.16717234253883362}],"concepts":[{"id":"https://openalex.org/C95925971","wikidata":"https://www.wikidata.org/wiki/Q3100414","display_name":"Parity-check matrix","level":4,"score":0.7277302742004395},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.6455588340759277},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6053352355957031},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.576151430606842},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5451861619949341},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5076664686203003},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.4940634071826935},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4772058427333832},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.4633261561393738},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.45665988326072693},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.4231146275997162},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4111032485961914},{"id":"https://openalex.org/C131521367","wikidata":"https://www.wikidata.org/wiki/Q625502","display_name":"Parity bit","level":2,"score":0.41069722175598145},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35014769434928894},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3057522177696228},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.16717234253883362}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw.2005.1531860","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2005.1531860","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Information Theory Workshop, 2005.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W561993775","https://openalex.org/W1606480398","https://openalex.org/W1619724041","https://openalex.org/W1985800138","https://openalex.org/W2044180609","https://openalex.org/W2113142402","https://openalex.org/W2150972708","https://openalex.org/W2895335898","https://openalex.org/W3021839281","https://openalex.org/W3139815204","https://openalex.org/W4246015715","https://openalex.org/W4285719527","https://openalex.org/W6615712716","https://openalex.org/W6636637245"],"related_works":["https://openalex.org/W2121777163","https://openalex.org/W4247927056","https://openalex.org/W2061476814","https://openalex.org/W1968396483","https://openalex.org/W4297536019","https://openalex.org/W1509734363","https://openalex.org/W135568846","https://openalex.org/W2508865029","https://openalex.org/W2913933112","https://openalex.org/W2058933018"],"abstract_inverted_index":{"A":[0],"new":[1],"method":[2,36],"of":[3,32,40,64,73],"finding":[4],"binary":[5,87],"cyclic":[6,16],"codes":[7,17,75],"from":[8],"the":[9,33,38,41,45,49,58,69,74,83],"finite-field":[10],"transform":[11],"domain":[12],"is":[13,79],"presented.":[14],"These":[15],"have":[18],"sparse":[19],"parity-check":[20,59],"matrix":[21,60],"and":[22,44],"thus":[23],"are":[24],"suitable":[25],"for":[26,86],"iterative":[27,77],"decoding.":[28],"Some":[29],"interesting":[30],"properties":[31],"proposed":[34],"construction":[35],"include":[37],"knowledge":[39],"minimum":[42],"distance":[43],"ability":[46],"to":[47,82],"trade":[48],"increase":[50],"in":[51,57],"code":[52],"dimension":[53],"with":[54],"a":[55],"reduction":[56],"sparsity.":[61],"By":[62],"means":[63],"simulations,":[65],"we":[66],"show":[67],"that":[68],"error":[70],"correcting":[71],"performance":[72],"under":[76],"decoding":[78],"very":[80],"close":[81],"sphere-packing-bound":[84],"constrained":[85],"transmission.":[88]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}