{"id":"https://openalex.org/W4415098828","doi":"https://doi.org/10.48550/arxiv.2503.09991","title":"Finite Field Multiple Access II:from Symbol-wise to Codeword-wise","display_name":"Finite Field Multiple Access II:from Symbol-wise to Codeword-wise","publication_year":2025,"publication_date":"2025-03-13","ids":{"openalex":"https://openalex.org/W4415098828","doi":"https://doi.org/10.48550/arxiv.2503.09991"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2503.09991","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2503.09991","pdf_url":"https://arxiv.org/pdf/2503.09991","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2503.09991","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028542750","display_name":"Qi-yue Yu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yu, Qi-yue","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104310151","display_name":"Shi-wen Lin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lin, Shi-wen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Yang, Ting-wei","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yang, Ting-wei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9865000247955322,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9865000247955322,"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/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9810000061988831,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9761999845504761,"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/channel","display_name":"Channel (broadcasting)","score":0.5076000094413757},{"id":"https://openalex.org/keywords/multiplexing","display_name":"Multiplexing","score":0.5},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.4772000014781952},{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.46230000257492065},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.453000009059906},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.4401000142097473},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.43050000071525574},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.3919999897480011},{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.36649999022483826}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6290000081062317},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5112000107765198},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5076000094413757},{"id":"https://openalex.org/C19275194","wikidata":"https://www.wikidata.org/wiki/Q222903","display_name":"Multiplexing","level":2,"score":0.5},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4936999976634979},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.4772000014781952},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.46230000257492065},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.453000009059906},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4401000142097473},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.43050000071525574},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.3919999897480011},{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.36649999022483826},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.3594000041484833},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.35339999198913574},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.34209999442100525},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.33160001039505005},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.3294999897480011},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.3165000081062317},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.30820000171661377},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.30250000953674316},{"id":"https://openalex.org/C47696715","wikidata":"https://www.wikidata.org/wiki/Q233394","display_name":"Code division multiple access","level":2,"score":0.27720001339912415},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.2759999930858612},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.2743000090122223},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.27090001106262207},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2574999928474426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2533000111579895}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2503.09991","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2503.09991","pdf_url":"https://arxiv.org/pdf/2503.09991","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2503.09991","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2503.09991","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2503.09991","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2503.09991","pdf_url":"https://arxiv.org/pdf/2503.09991","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"A":[0],"finite-field":[1,36],"multiple-access":[2],"(FFMA)":[3],"system":[4,74],"separates":[5],"users":[6,82],"within":[7],"a":[8,35,66,78,101,116,127],"finite":[9,89],"field":[10],"by":[11,65],"utilizing":[12],"different":[13],"element-pairs":[14],"(EPs)":[15],"as":[16,31,59,126],"virtual":[17],"resources.":[18],"The":[19],"Cartesian":[20],"product":[21],"of":[22,81,138],"distinct":[23],"EPs":[24],"forms":[25],"an":[26],"EP":[27,98,112,124,129,139],"code,":[28],"which":[29],"serves":[30],"the":[32,42,47,54,72,88,122,135,159,175,191],"input":[33],"to":[34,45,57,75,150],"multiplexing":[37,51],"module":[38],"(FF-MUX).":[39],"This":[40,69],"allows":[41,71],"FFMA":[43,73,105,198],"technique":[44],"reorder":[46],"channel":[48,67,200],"coding":[49],"and":[50,120,141,174,210],"modules,":[52],"enabling":[53],"superimposed":[55],"signals":[56],"function":[58],"codewords":[60],"that":[61,218],"can":[62],"be":[63],"decoded":[64],"code.":[68,131],"flexibility":[70],"efficiently":[76],"support":[77,223],"large":[79],"number":[80],"with":[83,227],"short":[84],"packet":[85],"traffic,":[86],"addressing":[87],"blocklength":[90],"(FBL)":[91],"challenge":[92,103],"in":[93,104],"multiuser":[94],"reliable":[95],"transmission.":[96],"Designing":[97],"codes":[99,113],"is":[100],"central":[102],"systems.":[106],"In":[107],"this":[108],"paper,":[109],"we":[110,157,195],"construct":[111],"based":[114],"on":[115,190],"bit(s)-to-codeword":[117],"transformation":[118],"approach":[119],"define":[121],"corresponding":[123],"code":[125,205],"codeword-wise":[128],"(CWEP)":[130],"We":[132],"then":[133],"investigate":[134],"encoding":[136],"process":[137],"codes,":[140,194],"propose":[142],"unique":[143],"sum-pattern":[144],"mapping":[145],"(USPM)":[146],"structural":[147],"property":[148],"constraints":[149],"design":[151],"uniquely":[152],"decodable":[153],"CWEP":[154,187,193],"codes.":[155,188],"Next,":[156],"present":[158],"$\u03ba$-fold":[160],"ternary":[161,176],"orthogonal":[162],"matrix":[163,178],"${\\bf":[164,179],"T}_{\\rm":[165,180],"o}(2^\u03ba,":[166],"2^\u03ba)$":[167],"over":[168,182],"GF$(3^m)$,":[169,183],"where":[170],"$m":[171],"=":[172],"2^\u03ba$,":[173],"non-orthogonal":[177,211],"no}(M,m)$":[181],"for":[184],"constructing":[185],"specific":[186],"Based":[189],"proposed":[192],"introduce":[196],"three":[197,220],"modes:":[199],"codeword":[201],"multiple":[202,207,212],"access":[203,208,213],"(FF-CCMA),":[204],"division":[206],"(FF-CDMA),":[209],"(FF-NOMA).":[214],"Simulation":[215],"results":[216],"demonstrate":[217],"all":[219],"modes":[221],"effectively":[222],"massive":[224],"user":[225],"transmissions":[226],"well-behaved":[228],"error":[229],"performance.":[230]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-13T00:00:00"}