{"id":"https://openalex.org/W2102495964","doi":"https://doi.org/10.1093/comjnl/bxs053","title":"A Natural Channel Coding for the Finite and Infinite Time Axes","display_name":"A Natural Channel Coding for the Finite and Infinite Time Axes","publication_year":2012,"publication_date":"2012-05-15","ids":{"openalex":"https://openalex.org/W2102495964","doi":"https://doi.org/10.1093/comjnl/bxs053","mag":"2102495964"},"language":"en","primary_location":{"id":"doi:10.1093/comjnl/bxs053","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxs053","pdf_url":null,"source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","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/A5041275846","display_name":"Paul Whittle","orcid":null},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"P. Whittle","raw_affiliation_strings":["Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WB, UK","Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WB, UK"],"affiliations":[{"raw_affiliation_string":"Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WB, UK","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WB, UK","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041275846"],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":{"value":2635,"currency":"GBP","value_usd":3232},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15260116,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"55","issue":"7","first_page":"788","last_page":"798"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9843999743461609,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9817000031471252,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/algorithm","display_name":"Algorithm","score":0.676201343536377},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6206746101379395},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.566609263420105},{"id":"https://openalex.org/keywords/constant-weight-code","display_name":"Constant-weight code","score":0.5593459606170654},{"id":"https://openalex.org/keywords/parity-bit","display_name":"Parity bit","score":0.5318545699119568},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5164763927459717},{"id":"https://openalex.org/keywords/systematic-code","display_name":"Systematic code","score":0.502605676651001},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.4732521176338196},{"id":"https://openalex.org/keywords/cyclic-code","display_name":"Cyclic code","score":0.44489729404449463},{"id":"https://openalex.org/keywords/code-rate","display_name":"Code rate","score":0.4406867027282715},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4400041699409485},{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.43862244486808777},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4317753314971924},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.41999104619026184},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.379264771938324},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3355313539505005},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.2676013708114624},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.15178737044334412},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13402366638183594},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10405722260475159}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.676201343536377},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6206746101379395},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.566609263420105},{"id":"https://openalex.org/C197242373","wikidata":"https://www.wikidata.org/wiki/Q5163613","display_name":"Constant-weight code","level":5,"score":0.5593459606170654},{"id":"https://openalex.org/C131521367","wikidata":"https://www.wikidata.org/wiki/Q625502","display_name":"Parity bit","level":2,"score":0.5318545699119568},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5164763927459717},{"id":"https://openalex.org/C70992990","wikidata":"https://www.wikidata.org/wiki/Q1681587","display_name":"Systematic code","level":4,"score":0.502605676651001},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4732521176338196},{"id":"https://openalex.org/C2096984","wikidata":"https://www.wikidata.org/wiki/Q245464","display_name":"Cyclic code","level":5,"score":0.44489729404449463},{"id":"https://openalex.org/C206468330","wikidata":"https://www.wikidata.org/wiki/Q834373","display_name":"Code rate","level":3,"score":0.4406867027282715},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4400041699409485},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.43862244486808777},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4317753314971924},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.41999104619026184},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.379264771938324},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3355313539505005},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.2676013708114624},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.15178737044334412},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13402366638183594},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10405722260475159},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/comjnl/bxs053","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxs053","pdf_url":null,"source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1988258635","https://openalex.org/W2171391334","https://openalex.org/W1631960500","https://openalex.org/W4250402636","https://openalex.org/W2082705204","https://openalex.org/W2772956856","https://openalex.org/W2151458981","https://openalex.org/W2361823661","https://openalex.org/W2363582660","https://openalex.org/W2389829938"],"abstract_inverted_index":{"The":[0,12,44,65,91,126],"code":[1,5,93,102],"termed":[2],"a":[3,57,73,77,82,100,104,184],"\u2018zoom\u2019":[4],"incorporates":[6],"several":[7],"levels":[8,36],"of":[9,46,99,118,128,155,159,169,183,196],"check":[10,47,187],"digits.":[11],"zeroth":[13],"level":[14,24],"is":[15,25,107,120,131,162,174],"just":[16,95],"the":[17,22,61,89,96,115,123,136,140,153,157,165,171,180,193,197],"data":[18],"sequence":[19],"itself,":[20],"and":[21],"ith":[23],"such":[26],"that":[27,114,176],"it":[28,38,173],"would":[29],"correct":[30],"all":[31],"transmission":[32,62],"errors":[33],"at":[34,56,109],"earlier":[35],"if":[37,103],"were":[39],"itself":[40],"transmitted":[41],"without":[42],"error.":[43],"density":[45],"digits":[48],"in":[49,113],"time":[50,83],"decreases":[51],"exponentially":[52],"with":[53,88],"increasing":[54],"i,":[55],"rate":[58],"dependent":[59],"on":[60],"error":[63,161],"rate.":[64],"construction":[66,106],"then":[67],"gives":[68,94],"an":[69],"optimizing":[70],"rationale":[71],"for":[72],"generalized":[74],"convolutional":[75],"code,":[76,79],"\u2018multipulse\u2019":[78],"invariant":[80],"under":[81],"shift":[84],"whose":[85],"size":[86],"varies":[87],"level.":[90],"zoom":[92],"\u2018liberated\u2019":[97,112],"version":[98],"Bose-Chauduri-Hocquenhem":[101],"Galois":[105],"used":[108],"every":[110],"level;":[111],"optimality-negating":[116],"constraint":[117],"cyclicity":[119],"relaxed":[121],"to":[122],"multipulse":[124],"property.":[125],"notion":[127],"cascading":[129],"checks":[130,177],"not":[132],"wholly":[133],"new,":[134],"but":[135],"approach":[137],"taken":[138],"exploits":[139],"intrinsically":[141],"recursive":[142,190],"character":[143,182],"thus":[144],"generated.":[145],"Decoding":[146],"recursions":[147],"(between":[148],"levels)":[149],"are":[150],"developed.":[151],"If":[152],"criterion":[154],"minimizing":[156,170],"probability":[158],"any":[160],"replaced":[163],"by":[164],"more":[166],"realistic":[167],"one":[168],"BER,":[172],"found":[175],"should":[178],"have":[179],"sparse":[181],"low-density":[185],"parity":[186],"code.":[188],"However,":[189],"decodings":[191,195],"replace":[192],"iterative":[194],"latter.":[198]},"counts_by_year":[],"updated_date":"2026-02-25T21:11:00.739837","created_date":"2025-10-10T00:00:00"}