{"id":"https://openalex.org/W3001465444","doi":"https://doi.org/10.1109/iwsda46143.2019.8966115","title":"On Asymptotic Analysis of Relative Generalized Hamming Weight","display_name":"On Asymptotic Analysis of Relative Generalized Hamming Weight","publication_year":2019,"publication_date":"2019-10-01","ids":{"openalex":"https://openalex.org/W3001465444","doi":"https://doi.org/10.1109/iwsda46143.2019.8966115","mag":"3001465444"},"language":"en","primary_location":{"id":"doi:10.1109/iwsda46143.2019.8966115","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iwsda46143.2019.8966115","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA)","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/A5015055734","display_name":"Zhuojun Zhuang","orcid":"https://orcid.org/0000-0001-5632-2787"},"institutions":[{"id":"https://openalex.org/I4210088244","display_name":"Shanghai Micro Satellite Engineering Center","ror":"https://ror.org/003cp7918","country_code":"CN","type":"nonprofit","lineage":["https://openalex.org/I4210088244"]},{"id":"https://openalex.org/I4387154354","display_name":"Innovation Academy for Microsatellites of Chinese Academy of Sciences","ror":"https://ror.org/05f6mer85","country_code":null,"type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4387154354"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhuojun Zhuang","raw_affiliation_strings":["Innovation Academy for Microsatellites of CAS, Shanghai 201203, China"],"affiliations":[{"raw_affiliation_string":"Innovation Academy for Microsatellites of CAS, Shanghai 201203, China","institution_ids":["https://openalex.org/I4210088244","https://openalex.org/I4387154354"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058189024","display_name":"Bin Dai","orcid":"https://orcid.org/0000-0002-7893-6218"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Dai","raw_affiliation_strings":["School of Information Science and Technology, Southwest Jiaotong University, Chengdu 610031, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Southwest Jiaotong University, Chengdu 610031, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100781981","display_name":"Keke Zhang","orcid":"https://orcid.org/0000-0002-9789-6151"},"institutions":[{"id":"https://openalex.org/I4387154354","display_name":"Innovation Academy for Microsatellites of Chinese Academy of Sciences","ror":"https://ror.org/05f6mer85","country_code":null,"type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4387154354"]},{"id":"https://openalex.org/I4210088244","display_name":"Shanghai Micro Satellite Engineering Center","ror":"https://ror.org/003cp7918","country_code":"CN","type":"nonprofit","lineage":["https://openalex.org/I4210088244"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Keke Zhang","raw_affiliation_strings":["Innovation Academy for Microsatellites of CAS, Shanghai 201203, China"],"affiliations":[{"raw_affiliation_string":"Innovation Academy for Microsatellites of CAS, Shanghai 201203, China","institution_ids":["https://openalex.org/I4210088244","https://openalex.org/I4387154354"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102749473","display_name":"Zhen Jing","orcid":"https://orcid.org/0009-0001-0726-6317"},"institutions":[{"id":"https://openalex.org/I4210088244","display_name":"Shanghai Micro Satellite Engineering Center","ror":"https://ror.org/003cp7918","country_code":"CN","type":"nonprofit","lineage":["https://openalex.org/I4210088244"]},{"id":"https://openalex.org/I4387154354","display_name":"Innovation Academy for Microsatellites of Chinese Academy of Sciences","ror":"https://ror.org/05f6mer85","country_code":null,"type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4387154354"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen Jing","raw_affiliation_strings":["Innovation Academy for Microsatellites of CAS, Shanghai 201203, China"],"affiliations":[{"raw_affiliation_string":"Innovation Academy for Microsatellites of CAS, Shanghai 201203, China","institution_ids":["https://openalex.org/I4210088244","https://openalex.org/I4387154354"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026427332","display_name":"Jia Huang","orcid":"https://orcid.org/0000-0002-9439-0067"},"institutions":[{"id":"https://openalex.org/I4387154354","display_name":"Innovation Academy for Microsatellites of Chinese Academy of Sciences","ror":"https://ror.org/05f6mer85","country_code":null,"type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4387154354"]},{"id":"https://openalex.org/I4210088244","display_name":"Shanghai Micro Satellite Engineering Center","ror":"https://ror.org/003cp7918","country_code":"CN","type":"nonprofit","lineage":["https://openalex.org/I4210088244"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jia Huang","raw_affiliation_strings":["Innovation Academy for Microsatellites of CAS, Shanghai 201203, China"],"affiliations":[{"raw_affiliation_string":"Innovation Academy for Microsatellites of CAS, Shanghai 201203, China","institution_ids":["https://openalex.org/I4210088244","https://openalex.org/I4387154354"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026329292","display_name":"Hao Zhu","orcid":"https://orcid.org/0000-0002-3559-6129"},"institutions":[{"id":"https://openalex.org/I4387154354","display_name":"Innovation Academy for Microsatellites of Chinese Academy of Sciences","ror":"https://ror.org/05f6mer85","country_code":null,"type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4387154354"]},{"id":"https://openalex.org/I4210088244","display_name":"Shanghai Micro Satellite Engineering Center","ror":"https://ror.org/003cp7918","country_code":"CN","type":"nonprofit","lineage":["https://openalex.org/I4210088244"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Zhu","raw_affiliation_strings":["Innovation Academy for Microsatellites of CAS, Shanghai 201203, China"],"affiliations":[{"raw_affiliation_string":"Innovation Academy for Microsatellites of CAS, Shanghai 201203, China","institution_ids":["https://openalex.org/I4210088244","https://openalex.org/I4387154354"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5015055734"],"corresponding_institution_ids":["https://openalex.org/I4210088244","https://openalex.org/I4387154354"],"apc_list":null,"apc_paid":null,"fwci":0.28,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67589695,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9994999766349792,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.652299165725708},{"id":"https://openalex.org/keywords/hamming-weight","display_name":"Hamming weight","score":0.6127119064331055},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.513165295124054},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5050237774848938},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.4765375554561615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4744913578033447},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4580354690551758},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.44939830899238586},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4491094946861267},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3279757499694824},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3274614214897156},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.2864428460597992},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.10541614890098572}],"concepts":[{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.652299165725708},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.6127119064331055},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.513165295124054},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5050237774848938},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.4765375554561615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4744913578033447},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4580354690551758},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.44939830899238586},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4491094946861267},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3279757499694824},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3274614214897156},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.2864428460597992},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.10541614890098572},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iwsda46143.2019.8966115","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iwsda46143.2019.8966115","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1964127749","https://openalex.org/W2013051868","https://openalex.org/W2019215605","https://openalex.org/W2034340119","https://openalex.org/W2053467621","https://openalex.org/W2058618212","https://openalex.org/W2079443739","https://openalex.org/W2120258386","https://openalex.org/W2124984118","https://openalex.org/W2127558904","https://openalex.org/W2133693898","https://openalex.org/W2162013214","https://openalex.org/W2268856369","https://openalex.org/W2313556063","https://openalex.org/W2963875179","https://openalex.org/W3101656794"],"related_works":["https://openalex.org/W2008960744","https://openalex.org/W2105471374","https://openalex.org/W2740543340","https://openalex.org/W1987803429","https://openalex.org/W2158117886","https://openalex.org/W1582340598","https://openalex.org/W1519122282","https://openalex.org/W2743336384","https://openalex.org/W2182731056","https://openalex.org/W2157753730"],"abstract_inverted_index":{"The":[0],"relative":[1],"generalized":[2,39],"Hamming":[3,40],"weight":[4,41],"(RGHW)":[5],"M":[6],"<sub":[7,26],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[8,12,27,33],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">r</sub>":[9],"(C,C":[10],"<sup":[11,32],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sup>":[13,34],")":[14],"of":[15,38,61,70,101,158],"an":[16,23],"[n,":[17,24],"k]":[18],"(linear)":[19],"code":[20,74],"C":[21,31],"and":[22,55,128,144],"k":[25],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[28],"]":[29],"subcode":[30],",":[35],"a":[36],"generalization":[37],"(GHW),":[42],"has":[43],"been":[44],"applied":[45],"to":[46],"wiretap":[47],"channel,":[48],"network":[49],"coding,":[50],"linear":[51,80],"ramp":[52,81],"secret":[53,82],"sharing,":[54],"trellis":[56],"complexity,":[57],"etc.":[58],"Asymptotic":[59],"analysis":[60],"RGHW":[62],"is":[63,76,91,104,126,130],"useful":[64],"for":[65,93,121],"investigating":[66],"the":[67,85,99,111,122,140,148,156,159],"optimal":[68],"performance":[69,96],"these":[71],"applications":[72],"when":[73],"length":[75],"sufficiently":[77],"large.":[78],"For":[79,135,151],"sharing":[83],"schemes,":[84],"asymptotic":[86,118,141],"metric":[87],"we":[88,109,138,154],"previously":[89],"introduced":[90],"inconvenient":[92],"characterizing":[94],"its":[95],"mainly":[97],"because":[98],"rate":[100],"information":[102],"leakage":[103],"not":[105],"considered.In":[106],"this":[107],"paper,":[108],"improve":[110],"previous":[112],"work":[113],"by":[114],"introducing":[115],"two":[116],"new":[117],"metrics,":[119],"respectively,":[120],"cases":[123],"that":[124],"r":[125,129],"fixed":[127,136],"proportionally":[131],"increasing":[132,152],"with":[133],"n.":[134],"r,":[137,153],"show":[139],"Singleton,":[142],"Plotkin":[143],"Gilbert-Varshamov":[145],"bounds":[146],"on":[147],"first":[149],"metric.":[150,161],"determine":[155],"value":[157],"second":[160]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}