{"id":"https://openalex.org/W2124984031","doi":"https://doi.org/10.1109/jsac.1984.1146063","title":"Coding of Real-Number Sequences for Error Correction: A Digital Signal Processing Problem","display_name":"Coding of Real-Number Sequences for Error Correction: A Digital Signal Processing Problem","publication_year":1984,"publication_date":"1984-03-01","ids":{"openalex":"https://openalex.org/W2124984031","doi":"https://doi.org/10.1109/jsac.1984.1146063","mag":"2124984031"},"language":"en","primary_location":{"id":"doi:10.1109/jsac.1984.1146063","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsac.1984.1146063","pdf_url":null,"source":{"id":"https://openalex.org/S90422530","display_name":"IEEE Journal on Selected Areas in Communications","issn_l":"0733-8716","issn":["0733-8716","1558-0008"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Journal on Selected Areas in Communications","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/A5109928308","display_name":"T.G. Marshall","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"T. Marshall","raw_affiliation_strings":["Department of Electrical Engineering, Rutgers University, Piscataway, NJ, USA","Rutgers University, Piscataway, NJ"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Rutgers University, Piscataway, NJ, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Rutgers University, Piscataway, NJ","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109928308"],"corresponding_institution_ids":["https://openalex.org/I102322142"],"apc_list":null,"apc_paid":null,"fwci":4.2981,"has_fulltext":false,"cited_by_count":191,"citation_normalized_percentile":{"value":0.95017422,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"2","issue":"2","first_page":"381","last_page":"392"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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/T10125","display_name":"Advanced Wireless Communication Techniques","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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9975000023841858,"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/bch-code","display_name":"BCH code","score":0.642630934715271},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6044025421142578},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5251652598381042},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.48535147309303284},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.48513445258140564},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.4350462555885315},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4187377691268921},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3504077196121216},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33165308833122253},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32078099250793457},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.26760661602020264},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2658907175064087},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1554442048072815},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.12692376971244812}],"concepts":[{"id":"https://openalex.org/C42276685","wikidata":"https://www.wikidata.org/wiki/Q795705","display_name":"BCH code","level":3,"score":0.642630934715271},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6044025421142578},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5251652598381042},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.48535147309303284},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.48513445258140564},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.4350462555885315},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4187377691268921},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3504077196121216},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33165308833122253},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32078099250793457},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.26760661602020264},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2658907175064087},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1554442048072815},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.12692376971244812},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/jsac.1984.1146063","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsac.1984.1146063","pdf_url":null,"source":{"id":"https://openalex.org/S90422530","display_name":"IEEE Journal on Selected Areas in Communications","issn_l":"0733-8716","issn":["0733-8716","1558-0008"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Journal on Selected Areas in Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309036","display_name":"Purdue University","ror":"https://ror.org/02dqehb95"},{"id":"https://openalex.org/F4320321523","display_name":"Chalmers Tekniska H\u00f6gskola","ror":"https://ror.org/040wg7k59"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1496938952","https://openalex.org/W1589190557","https://openalex.org/W1593683169","https://openalex.org/W1606480398","https://openalex.org/W2018063252","https://openalex.org/W2068933160","https://openalex.org/W2072721146","https://openalex.org/W2097772361","https://openalex.org/W2124984031","https://openalex.org/W2129895111","https://openalex.org/W2133553014","https://openalex.org/W2148575324","https://openalex.org/W2153810958","https://openalex.org/W2182112064","https://openalex.org/W4239894305"],"related_works":["https://openalex.org/W4210376836","https://openalex.org/W4210925376","https://openalex.org/W1633995705","https://openalex.org/W2596211269","https://openalex.org/W197862639","https://openalex.org/W2360384790","https://openalex.org/W4232397253","https://openalex.org/W4235913033","https://openalex.org/W2109284253","https://openalex.org/W2039966832"],"abstract_inverted_index":{"Error-correcting":[0],"codes":[1,19,43,80,108,120],"defined":[2],"over":[3,109],"the":[4,18,50,60,127,180],"real-number":[5,72,102],"and":[6,39,49,57,90,100,118,149,160,176],"complex-number":[7],"fields":[8],"are":[9,36,44,52,114,121,174],"introduced.":[10],"The":[11],"possibility":[12],"of":[13,62,86,98,182,190],"utilizing":[14],"realnumber":[15],"arithmetic":[16],"permits":[17],"to":[20,54,58,123,139],"be":[21,55,124],"implemented":[22],"with":[23],"operations":[24],"normally":[25],"available":[26],"in":[27,132,167,178,201],"standard":[28],"programmable":[29],"digital":[30,141,147,150,185],"signal":[31,142,186],"processors":[32],"by":[33,126],"methods":[34],"which":[35,135],"discussed.":[37,207],"Hadamard":[38],"discrete":[40],"Fourier":[41],"transform":[42],"presented":[45],"for":[46,82,154,188,193],"block":[47,99,117],"coding,":[48],"latter":[51],"seen":[53,122],"cyclic":[56],"include":[59],"class":[61,97],"BCH":[63,73],"codes.":[64],"It":[65],"is":[66,206],"shown":[67],"that":[68],"maximum":[69],"distance":[70],"separable":[71],"(":[74],"<tex":[75,87,91,110,128,157,161,169],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[76,88,92,111,129,158,162,170],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">N,":[77],"K</tex>":[78],")":[79],"exist":[81],"all":[83,196],"nontrivial":[84],"values":[85],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">N</tex>":[89],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">K</tex>":[93],".":[94],"A":[95],"large":[96],"convolutional":[101,119,204],"single-error-correcting":[103,203],"codes,":[104],"derived":[105],"from":[106],"similar":[107],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">GF(p)</tex>":[112],",":[113],"presented.":[115],"Both":[116],"describable":[125],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">z</tex>":[130],"-transform":[131],"a":[133,168,183,202],"manner":[134],"emphasizes":[136],"their":[137],"similarities":[138],"conventional":[140],"processing":[143],"structures":[144],"such":[145],"as":[146],"filters":[148],"filter":[151],"banks.":[152],"Methods":[153],"correcting":[155,194],"weight":[156],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">t</tex>":[159,171],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">t":[163],"+":[164],"1</tex>":[165],"errors":[166],"error-correcting":[172],"code":[173,205],"demonstrated":[175],"interpreted;":[177],"particular,":[179],"use":[181],"VLSI":[184],"processor":[187],"implementation":[189],"an":[191],"algorithm":[192],"almost":[195],"double":[197],"adjacent":[198],"error":[199],"patterns":[200]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":14}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
