{"id":"https://openalex.org/W2038305881","doi":"https://doi.org/10.1109/18.119710","title":"m-adic residue codes","display_name":"m-adic residue codes","publication_year":1992,"publication_date":"1992-03-01","ids":{"openalex":"https://openalex.org/W2038305881","doi":"https://doi.org/10.1109/18.119710","mag":"2038305881"},"language":"en","primary_location":{"id":"doi:10.1109/18.119710","is_oa":false,"landing_page_url":"https://doi.org/10.1109/18.119710","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Transactions on Information Theory","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/A5048163948","display_name":"Vanessa Job","orcid":"https://orcid.org/0000-0002-3240-5999"},"institutions":[{"id":"https://openalex.org/I53276908","display_name":"Marymount University","ror":"https://ror.org/0008kv292","country_code":"US","type":"education","lineage":["https://openalex.org/I53276908"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"V.R. Job","raw_affiliation_strings":["Departments of Mathematics and Computer Science, Marymount University, Arlington, VA, USA","Dept. of Math. & Comput. Sci., Marymount Univ., Arlington, VA, USA"],"affiliations":[{"raw_affiliation_string":"Departments of Mathematics and Computer Science, Marymount University, Arlington, VA, USA","institution_ids":["https://openalex.org/I53276908"]},{"raw_affiliation_string":"Dept. of Math. & Comput. Sci., Marymount Univ., Arlington, VA, USA","institution_ids":["https://openalex.org/I53276908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048163948"],"corresponding_institution_ids":["https://openalex.org/I53276908"],"apc_list":null,"apc_paid":null,"fwci":0.5581,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.73859931,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"38","issue":"2","first_page":"496","last_page":"501"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9987999796867371,"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":0.9987999796867371,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9754999876022339,"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/quadratic-residue","display_name":"Quadratic residue","score":0.8106898069381714},{"id":"https://openalex.org/keywords/residue","display_name":"Residue (chemistry)","score":0.779888927936554},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6871803998947144},{"id":"https://openalex.org/keywords/dual-polyhedron","display_name":"Dual polyhedron","score":0.5940881371498108},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5009429454803467},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4994771480560303},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49875473976135254},{"id":"https://openalex.org/keywords/automorphism-group","display_name":"Automorphism group","score":0.4770899713039398},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.42843306064605713},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.3927841782569885},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.15315976738929749},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0649891197681427}],"concepts":[{"id":"https://openalex.org/C12817185","wikidata":"https://www.wikidata.org/wiki/Q878259","display_name":"Quadratic residue","level":2,"score":0.8106898069381714},{"id":"https://openalex.org/C2781338088","wikidata":"https://www.wikidata.org/wiki/Q903495","display_name":"Residue (chemistry)","level":2,"score":0.779888927936554},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6871803998947144},{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.5940881371498108},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5009429454803467},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4994771480560303},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49875473976135254},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.4770899713039398},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.42843306064605713},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.3927841782569885},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.15315976738929749},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0649891197681427},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/18.119710","is_oa":false,"landing_page_url":"https://doi.org/10.1109/18.119710","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320312143","display_name":"National Centre for Supercomputing Applications","ror":"https://ror.org/03r10zj06"},{"id":"https://openalex.org/F4320332222","display_name":"University of Illinois at Urbana-Champaign","ror":"https://ror.org/047426m28"},{"id":"https://openalex.org/F4320332697","display_name":"University of Illinois at Chicago","ror":"https://ror.org/02mpq6x41"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1495550473","https://openalex.org/W1606480398","https://openalex.org/W1993602218","https://openalex.org/W2037342473","https://openalex.org/W2061001255","https://openalex.org/W2100230274","https://openalex.org/W2131251676","https://openalex.org/W2914905798"],"related_works":["https://openalex.org/W2380806311","https://openalex.org/W1996305421","https://openalex.org/W4302155387","https://openalex.org/W2949256963","https://openalex.org/W2545189445","https://openalex.org/W2115024785","https://openalex.org/W2949890955","https://openalex.org/W2085781584","https://openalex.org/W4289596368","https://openalex.org/W2071337062"],"abstract_inverted_index":{"The":[0],"m-adic":[1,37,47,57,83,106,126],"residue":[2,19,38,48,58,84,107,113,127],"codes":[3,39,49,59,77,85,96,108,128],"are":[4,7,40,50,60,78,97],"investigated":[5],"and":[6,27,52],"found":[8],"to":[9,135],"have":[10],"many":[11],"of":[12,16,23,32,35,55,67,70,90,111,123,129],"the":[13,17,24,30,33,36,53,65,68,71,75,124],"strong":[14],"properties":[15,110],"quadratic":[18,112],"codes.":[20,114],"A":[21,115],"subgroup":[22],"automorphism":[25],"group":[26],"restrictions":[28],"on":[29,64],"form":[31],"idempotents":[34],"given.":[41,79],"It":[42],"is":[43,104,117],"shown":[44],"that":[45,119],"some":[46,56,81],"self-orthogonal":[51],"duals":[54],"their":[61],"complements.":[62],"Bounds":[63],"minimum":[66,121],"weights":[69,122],"odd-like":[72,76],"vectors":[73],"in":[74],"At":[80],"lengths,":[82],"exist":[86],"for":[87],"several":[88],"values":[89],"m.":[91],"Containment":[92],"relationships":[93],"between":[94],"these":[95],"demonstrated":[98],"which":[99],"show":[100],"that,":[101],"when":[102],"m":[103],"even,":[105],"inherit":[109],"table":[116],"included":[118],"contains":[120],"binary":[125],"lengths":[130],"less":[131],"than":[132],"or":[133],"equal":[134],"127.<":[136],"<ETX":[137],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[138],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">&gt;</ETX>":[139]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-10-10T00:00:00"}
