{"id":"https://openalex.org/W3146214055","doi":"https://doi.org/10.1109/acct51235.2020.9383381","title":"New lower and upper bounds on Armstrong codes","display_name":"New lower and upper bounds on Armstrong codes","publication_year":2020,"publication_date":"2020-10-11","ids":{"openalex":"https://openalex.org/W3146214055","doi":"https://doi.org/10.1109/acct51235.2020.9383381","mag":"3146214055"},"language":"en","primary_location":{"id":"doi:10.1109/acct51235.2020.9383381","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acct51235.2020.9383381","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 Algebraic and Combinatorial Coding Theory (ACCT)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5007088859","display_name":"Todorka Alexandrova","orcid":"https://orcid.org/0000-0001-5765-8581"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"government","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Todorka Alexandrova","raw_affiliation_strings":["Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Sofia, Bulgaria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026823761","display_name":"Peter Boyvalenkov","orcid":"https://orcid.org/0000-0001-7563-9552"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"government","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Peter Boyvalenkov","raw_affiliation_strings":["Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Sofia, Bulgaria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012184705","display_name":"Attila Sali","orcid":"https://orcid.org/0000-0002-4837-6360"},"institutions":[{"id":"https://openalex.org/I29770179","display_name":"Budapest University of Technology and Economics","ror":"https://ror.org/02w42ss30","country_code":"HU","type":"education","lineage":["https://openalex.org/I29770179"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Attila Sali","raw_affiliation_strings":["Budapest University of Technology and Economics, Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Budapest University of Technology and Economics, Budapest, Hungary","institution_ids":["https://openalex.org/I29770179"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2115121,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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":0.9997000098228455,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9994000196456909,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9800999760627747,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7742415070533752},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7493345141410828},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.6581933498382568},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5723199248313904},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5411185026168823},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5349881052970886},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19623395800590515},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.07521098852157593}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7742415070533752},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7493345141410828},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.6581933498382568},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5723199248313904},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5411185026168823},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5349881052970886},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19623395800590515},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.07521098852157593},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/acct51235.2020.9383381","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acct51235.2020.9383381","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 Algebraic and Combinatorial Coding Theory (ACCT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323573","display_name":"Ministry of Education and Science","ror":"https://ror.org/053pcb396"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W109405981","https://openalex.org/W183654279","https://openalex.org/W1549217443","https://openalex.org/W1870408408","https://openalex.org/W2025465674","https://openalex.org/W2076092585","https://openalex.org/W2088679936","https://openalex.org/W2163978560","https://openalex.org/W2169207476","https://openalex.org/W2887924890","https://openalex.org/W3016866485","https://openalex.org/W3038165843","https://openalex.org/W4295022726","https://openalex.org/W6604469142","https://openalex.org/W6607385831","https://openalex.org/W6754485180"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W1976691234","https://openalex.org/W3212023493","https://openalex.org/W2090715877","https://openalex.org/W2572370460"],"abstract_inverted_index":{"An":[0],"Armstrong(q,":[1,47],"k,":[2,48],"n)":[3,49],"code":[4,8,50],"is":[5],"a":[6,29,78,86],"q-ary":[7],"of":[9,12,25,31,97],"length":[10],"n":[11,15,43],"minimum":[13],"distance":[14],"-":[16],"k":[17,69,99],"+1":[18],"such":[19,44],"that":[20,33,45],"for":[21,85,113],"every":[22],"(k":[23],"-1)-subset":[24],"coordinates":[26],"there":[27],"exists":[28],"pair":[30],"codewords":[32],"agree":[34],"exactly":[35],"there.":[36],"Let":[37],"f(q,":[38,57],"k)":[39,58],"denote":[40],"the":[41,66,73,95],"largest":[42],"an":[46,91],"exists.":[51],"Upper":[52],"and":[53,64,89,100],"lower":[54],"bounds":[55,112],"on":[56,108],"were":[59],"given":[60],"earlier":[61],"in":[62,65,94],"general,":[63],"case":[67,96],"when":[68],">":[70],"k0(q).":[71],"In":[72],"present":[74],"paper":[75],"we":[76],"propose":[77],"new":[79],"construction":[80],"to":[81],"provide":[82],"Armstrong((p+1)/2,2\u2113,":[83],"p)":[84],"prime":[87],"p":[88],"give":[90],"upper":[92],"bound":[93],"fixed":[98],"large":[101,114],"enough":[102,115],"q.":[103,116],"Both":[104],"results":[105],"imply":[106],"improvements":[107],"corresponding":[109],"general":[110],"known":[111]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}