{"id":"https://openalex.org/W4322389153","doi":"https://doi.org/10.3934/amc.2023003","title":"On the rank decoding problem over finite principal ideal rings","display_name":"On the rank decoding problem over finite principal ideal rings","publication_year":2023,"publication_date":"2023-02-27","ids":{"openalex":"https://openalex.org/W4322389153","doi":"https://doi.org/10.3934/amc.2023003"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2023003","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2023003","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=63f5c8c48fccdf49cd46bf9e","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.aimsciences.org/data/article/export-pdf?id=63f5c8c48fccdf49cd46bf9e","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055825937","display_name":"Herv\u00e9 Tal\u00e9 Kalachi","orcid":"https://orcid.org/0000-0002-2590-4159"},"institutions":[{"id":"https://openalex.org/I1331070479","display_name":"Universit\u00e9 de Yaound\u00e9 I","ror":"https://ror.org/022zbs961","country_code":"CM","type":"education","lineage":["https://openalex.org/I1331070479"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Herv\u00e9 Tal\u00e9 Kalachi","raw_affiliation_strings":["National Advanced School of Engineering of Yaounde, University of Yaounde I, Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Advanced School of Engineering of Yaounde, University of Yaounde I, Cameroon","institution_ids":["https://openalex.org/I1331070479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029354190","display_name":"Hermann Tchatchiem Kamche","orcid":"https://orcid.org/0000-0003-0452-2546"},"institutions":[{"id":"https://openalex.org/I57825437","display_name":"University of Neuch\u00e2tel","ror":"https://ror.org/00vasag41","country_code":"CH","type":"education","lineage":["https://openalex.org/I57825437"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Hermann Tchatchiem Kamche","raw_affiliation_strings":["Institute of mathematics, University of Neuchatel, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of mathematics, University of Neuchatel, Switzerland","institution_ids":["https://openalex.org/I57825437"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8158,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.76999494,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"18","issue":"5","first_page":"1492","last_page":"1513"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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":0.9998000264167786,"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/T10849","display_name":"Finite Group Theory Research","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8093708753585815},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.718143105506897},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.7139772176742554},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6935471296310425},{"id":"https://openalex.org/keywords/principal-ideal","display_name":"Principal ideal","score":0.6199834942817688},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5634692311286926},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.5314563512802124},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4144755005836487},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4115493893623352},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2899647355079651},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1751873791217804},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.17010024189949036},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.13543662428855896},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.061565011739730835},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.05993390083312988}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8093708753585815},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.718143105506897},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.7139772176742554},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6935471296310425},{"id":"https://openalex.org/C78766492","wikidata":"https://www.wikidata.org/wiki/Q44382","display_name":"Principal ideal","level":3,"score":0.6199834942817688},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5634692311286926},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.5314563512802124},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4144755005836487},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4115493893623352},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2899647355079651},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1751873791217804},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.17010024189949036},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.13543662428855896},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.061565011739730835},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.05993390083312988},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/amc.2023003","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2023003","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=63f5c8c48fccdf49cd46bf9e","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/amc.2023003","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2023003","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=63f5c8c48fccdf49cd46bf9e","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.49000000953674316,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4322389153.pdf"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1493399411","https://openalex.org/W1574075570","https://openalex.org/W1584780183","https://openalex.org/W1590335557","https://openalex.org/W1595415026","https://openalex.org/W1662906987","https://openalex.org/W1892123666","https://openalex.org/W1913348518","https://openalex.org/W1993630801","https://openalex.org/W2011810490","https://openalex.org/W2011881257","https://openalex.org/W2025108828","https://openalex.org/W2035929826","https://openalex.org/W2055060019","https://openalex.org/W2057192941","https://openalex.org/W2081535454","https://openalex.org/W2090010567","https://openalex.org/W2094420277","https://openalex.org/W2095547380","https://openalex.org/W2103398070","https://openalex.org/W2106295307","https://openalex.org/W2130479486","https://openalex.org/W2134427743","https://openalex.org/W2136571043","https://openalex.org/W2138428646","https://openalex.org/W2139416652","https://openalex.org/W2278805587","https://openalex.org/W2289018240","https://openalex.org/W2340364767","https://openalex.org/W2752092322","https://openalex.org/W2767158391","https://openalex.org/W2885670388","https://openalex.org/W2963320596","https://openalex.org/W2963379327","https://openalex.org/W2964936392","https://openalex.org/W2967670694","https://openalex.org/W2978669775","https://openalex.org/W3017785777","https://openalex.org/W3034712312","https://openalex.org/W3080435810","https://openalex.org/W3095889214","https://openalex.org/W3112682786","https://openalex.org/W3175475550","https://openalex.org/W3197539179","https://openalex.org/W4285228205","https://openalex.org/W4287117719","https://openalex.org/W4292101331"],"related_works":["https://openalex.org/W3017203753","https://openalex.org/W3083229674","https://openalex.org/W4205451769","https://openalex.org/W2385322349","https://openalex.org/W2369600518","https://openalex.org/W3096151594","https://openalex.org/W2964031101","https://openalex.org/W4200209838","https://openalex.org/W2165241191","https://openalex.org/W2798867000"],"abstract_inverted_index":{"The":[0],"rank":[1,30,63,79,94,107,138],"decoding":[2,64,80,95,139],"problem":[3,65,81,96,122,140],"has":[4],"been":[5],"the":[6,20,23,40,58,62,67,78,93,105,120,137],"subject":[7],"of":[8,22,25,43,46,69],"much":[9],"attention":[10],"in":[11,66],"this":[12,72],"last":[13],"decade.":[14],"This":[15],"problem,":[16],"which":[17],"is":[18,33,87,117],"at":[19,88],"base":[21],"security":[24],"public-key":[26],"cryptosystems":[27],"based":[28],"on":[29],"metric":[31],"codes,":[32],"traditionally":[34],"studied":[35],"over":[36,82,97,112,126,141],"finite":[37,50,53,70,83,98,113,127,142],"fields.":[38,99,128],"But":[39],"recent":[41],"generalizations":[42],"certain":[44],"classes":[45],"rank-metric":[47],"codes":[48,111,125],"from":[49],"fields":[51],"to":[52,60,119],"rings":[54,86,116,144],"have":[55],"naturally":[56],"created":[57],"interest":[59],"tackle":[61],"case":[68],"rings.In":[71],"paper,":[73],"we":[74,130],"show":[75,102],"that":[76,103],"solving":[77,136],"principal":[84,114],"ideal":[85,115],"least":[89],"as":[90,92],"hard":[91],"We":[100],"also":[101],"computing":[104],"minimum":[106],"distance":[108],"for":[109,123,135],"linear":[110,124],"equivalent":[118],"same":[121],"Finally,":[129],"provide":[131],"combinatorial":[132],"type":[133],"algorithms":[134],"chain":[143],"together":[145],"with":[146],"their":[147],"average":[148],"complexities.":[149]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}