{"id":"https://openalex.org/W4289655139","doi":"https://doi.org/10.1109/isit50566.2022.9834889","title":"Algebraic Chase Decoding of Elliptic Codes Through Computing the Gr\u00f6bner Basis","display_name":"Algebraic Chase Decoding of Elliptic Codes Through Computing the Gr\u00f6bner Basis","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W4289655139","doi":"https://doi.org/10.1109/isit50566.2022.9834889"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834889","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834889","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","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":null,"display_name":"Yunqi Wan","orcid":null},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yunqi Wan","raw_affiliation_strings":["Sun Yat-Sen University,School of Electronics and Information Technology,Guangzhou,China","School of Electronics and Information Technology, Sun Yat-Sen University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Sun Yat-Sen University,School of Electronics and Information Technology,Guangzhou,China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Electronics and Information Technology, Sun Yat-Sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100379215","display_name":"Li Chen","orcid":"https://orcid.org/0000-0002-1725-1901"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Chen","raw_affiliation_strings":["Sun Yat-Sen University,School of Electronics and Information Technology,Guangzhou,China","School of Electronics and Information Technology, Sun Yat-Sen University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Sun Yat-Sen University,School of Electronics and Information Technology,Guangzhou,China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Electronics and Information Technology, Sun Yat-Sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005731945","display_name":"Fangguo Zhang","orcid":"https://orcid.org/0000-0002-0486-6413"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]},{"id":"https://openalex.org/I4210098034","display_name":"Key Laboratory of Guangdong Province","ror":"https://ror.org/00swtqp09","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210098034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fangguo Zhang","raw_affiliation_strings":["Sun Yat-Sen University,School of Computer Science and Engineering,Guangzhou,China","Guangdong Province Key Laboratory of Information Security Technology, Guangzhou, China","School of Computer Science and Engineering, Sun Yat-Sen University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Sun Yat-Sen University,School of Computer Science and Engineering,Guangzhou,China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Guangdong Province Key Laboratory of Information Security Technology, Guangzhou, China","institution_ids":["https://openalex.org/I4210098034"]},{"raw_affiliation_string":"School of Computer Science and Engineering, Sun Yat-Sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":null,"apc_paid":null,"fwci":0.626,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.67371489,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"180","last_page":"185"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.998199999332428,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9980999827384949,"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/decoding-methods","display_name":"Decoding methods","score":0.7877135872840881},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6245695352554321},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5123101472854614},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4415128529071808},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.43968063592910767},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.38017967343330383},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33616653084754944},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2851341962814331},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.22558534145355225},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2153903841972351},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.20579156279563904}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7877135872840881},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6245695352554321},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5123101472854614},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4415128529071808},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.43968063592910767},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.38017967343330383},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33616653084754944},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2851341962814331},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.22558534145355225},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2153903841972351},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.20579156279563904},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit50566.2022.9834889","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834889","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1527418840","https://openalex.org/W1557415002","https://openalex.org/W1976575672","https://openalex.org/W1994728957","https://openalex.org/W2022879455","https://openalex.org/W2032431003","https://openalex.org/W2038059498","https://openalex.org/W2057341276","https://openalex.org/W2100852839","https://openalex.org/W2105294563","https://openalex.org/W2122115476","https://openalex.org/W2142693450","https://openalex.org/W2144760922","https://openalex.org/W2165634867","https://openalex.org/W2781448655","https://openalex.org/W3005937542","https://openalex.org/W3045546048","https://openalex.org/W3198838307","https://openalex.org/W4206973523"],"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/W2798867000","https://openalex.org/W4299726024"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"two":[3,28,74],"interpolation-based":[4],"algebraic":[5],"Chase":[6,29,186],"decoding":[7,53,99,126,171],"for":[8,26,83,160],"elliptic":[9],"codes.":[10],"It":[11,165],"is":[12,81,95,145],"introduced":[13],"from":[14],"the":[15,19,23,39,58,70,73,84,88,98,133,138,154,181,184],"perspective":[16],"of":[17,22,87,100,183],"computing":[18],"Gr\u00f6bner":[20,105],"basis":[21,40,142,156],"interpolation":[24,30,37,60,75,80,135,149],"module,":[25],"which":[27,144],"approaches":[31],"are":[32,35,55,176],"utilized.":[33],"They":[34],"K\u00f6tter\u2019s":[36,79],"and":[38,57,151,158],"reduction":[41,159],"(BR)":[42],"interpolation.":[43],"By":[44],"identifying":[45],"\u03b7":[46],"unreliable":[47],"symbols,":[48],"2":[49],"<sup":[50],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[51],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u03b7</sup>":[52],"test-vectors":[54,109,162],"formulated,":[56],"corresponding":[59],"modules":[61],"can":[62,110],"be":[63,111,129],"defined.":[64],"The":[65,103],"re-encoding":[66],"further":[67],"helps":[68],"transform":[69],"test-vectors,":[71,89],"facilitating":[72],"techniques.":[76],"In":[77,131],"particular,":[78],"performed":[82],"common":[85,139],"elements":[86],"producing":[90],"an":[91],"intermediate":[92],"outcome":[93],"that":[94],"shared":[96,146],"by":[97,147],"all":[101,108,148,161],"test-vectors.":[102],"desired":[104],"bases":[106],"w.r.t.":[107],"obtained":[112],"in":[113,141,163,167],"a":[114,121,168],"binary":[115],"tree":[116],"growing":[117],"fashion,":[118],"leading":[119],"to":[120,179],"low":[122],"complexity":[123],"but":[124],"its":[125],"latency":[127],"cannot":[128],"contained.":[130],"contrast,":[132],"BR":[134],"first":[136],"performs":[137],"computation":[140],"construction":[143,157],"modules,":[150],"then":[152],"conducts":[153],"module":[155],"parallel.":[164],"results":[166,175],"significantly":[169],"lower":[170],"latency.":[172],"Finally,":[173],"simulation":[174],"also":[177],"presented":[178],"demonstrate":[180],"effectiveness":[182],"proposed":[185],"decoding.":[187]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2022-08-03T00:00:00"}
