{"id":"https://openalex.org/W4415482560","doi":"https://doi.org/10.1109/jiot.2025.3624867","title":"Revisiting Orthogonal Lattice Algorithms: Enhanced AIOL-\u03c3 Algorithm for General Approximate Common Divisor Problem","display_name":"Revisiting Orthogonal Lattice Algorithms: Enhanced AIOL-\u03c3 Algorithm for General Approximate Common Divisor Problem","publication_year":2025,"publication_date":"2025-10-23","ids":{"openalex":"https://openalex.org/W4415482560","doi":"https://doi.org/10.1109/jiot.2025.3624867"},"language":null,"primary_location":{"id":"doi:10.1109/jiot.2025.3624867","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jiot.2025.3624867","pdf_url":null,"source":{"id":"https://openalex.org/S2480266640","display_name":"IEEE Internet of Things Journal","issn_l":"2327-4662","issn":["2327-4662","2372-2541"],"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 Internet of Things Journal","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/A5071827863","display_name":"Yinxia Ran","orcid":null},"institutions":[{"id":"https://openalex.org/I75689368","display_name":"Communication University of China","ror":"https://ror.org/04facbs33","country_code":"CN","type":"education","lineage":["https://openalex.org/I75689368"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yinxia Ran","raw_affiliation_strings":["Communication University of China (CUC), Beijing, China","Communication University of China (CUC), 1 Dingfuzhuang East Street, Beijing, China"],"raw_orcid":"https://orcid.org/0009-0009-5360-8048","affiliations":[{"raw_affiliation_string":"Communication University of China (CUC), Beijing, China","institution_ids":["https://openalex.org/I75689368"]},{"raw_affiliation_string":"Communication University of China (CUC), 1 Dingfuzhuang East Street, Beijing, China","institution_ids":["https://openalex.org/I75689368"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028207505","display_name":"Yun Pan","orcid":"https://orcid.org/0000-0002-0626-5478"},"institutions":[{"id":"https://openalex.org/I165488957","display_name":"Lingnan University","ror":"https://ror.org/0563pg902","country_code":"HK","type":"education","lineage":["https://openalex.org/I165488957"]},{"id":"https://openalex.org/I75689368","display_name":"Communication University of China","ror":"https://ror.org/04facbs33","country_code":"CN","type":"education","lineage":["https://openalex.org/I75689368"]}],"countries":["CN","HK"],"is_corresponding":false,"raw_author_name":"Yun Pan","raw_affiliation_strings":["LNU, Longnan, China","Communication University of China (CUC), 1 Dingfuzhuang East Street, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LNU, Longnan, China","institution_ids":["https://openalex.org/I165488957"]},{"raw_affiliation_string":"Communication University of China (CUC), 1 Dingfuzhuang East Street, Beijing, China","institution_ids":["https://openalex.org/I75689368"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100369399","display_name":"Jingjing Zhang","orcid":"https://orcid.org/0000-0002-7953-1159"},"institutions":[{"id":"https://openalex.org/I165488957","display_name":"Lingnan University","ror":"https://ror.org/0563pg902","country_code":"HK","type":"education","lineage":["https://openalex.org/I165488957"]},{"id":"https://openalex.org/I75689368","display_name":"Communication University of China","ror":"https://ror.org/04facbs33","country_code":"CN","type":"education","lineage":["https://openalex.org/I75689368"]}],"countries":["CN","HK"],"is_corresponding":false,"raw_author_name":"Jingjing Zhang","raw_affiliation_strings":["LNU, Longnan, China","Communication University of China (CUC), 1 Dingfuzhuang East Street, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LNU, Longnan, China","institution_ids":["https://openalex.org/I165488957"]},{"raw_affiliation_string":"Communication University of China (CUC), 1 Dingfuzhuang East Street, Beijing, China","institution_ids":["https://openalex.org/I75689368"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100736219","display_name":"Licheng Wang","orcid":"https://orcid.org/0000-0001-8418-1897"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Licheng Wang","raw_affiliation_strings":["Beijing Institute of Technology (BIT), Beijing, China","Beijing Institute of technology (BIT), 5 Zhongguancun South Street, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-8418-1897","affiliations":[{"raw_affiliation_string":"Beijing Institute of Technology (BIT), Beijing, China","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"Beijing Institute of technology (BIT), 5 Zhongguancun South Street, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"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":0.41153764,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"2","first_page":"1908","last_page":"1918"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.8966000080108643,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.8966000080108643,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.8855999708175659,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T11435","display_name":"Polynomial and algebraic computation","score":0.836899995803833,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rounding","display_name":"Rounding","score":0.5698999762535095},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5227000117301941},{"id":"https://openalex.org/keywords/greatest-common-divisor","display_name":"Greatest common divisor","score":0.49540001153945923},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.46000000834465027},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.3885999917984009},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.3813000023365021},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.38119998574256897},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.3792000114917755}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7160000205039978},{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.5698999762535095},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5605999827384949},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5227000117301941},{"id":"https://openalex.org/C125257309","wikidata":"https://www.wikidata.org/wiki/Q131752","display_name":"Greatest common divisor","level":2,"score":0.49540001153945923},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.46000000834465027},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.3885999917984009},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38670000433921814},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.3813000023365021},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.38119998574256897},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.3792000114917755},{"id":"https://openalex.org/C97542219","wikidata":"https://www.wikidata.org/wiki/Q497863","display_name":"SIMPLE algorithm","level":2,"score":0.34940001368522644},{"id":"https://openalex.org/C44274781","wikidata":"https://www.wikidata.org/wiki/Q6497132","display_name":"Lattice reduction","level":4,"score":0.3431999981403351},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.3330000042915344},{"id":"https://openalex.org/C106516650","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm design","level":2,"score":0.32600000500679016},{"id":"https://openalex.org/C168482242","wikidata":"https://www.wikidata.org/wiki/Q6497128","display_name":"Lattice problem","level":3,"score":0.3222000002861023},{"id":"https://openalex.org/C203492994","wikidata":"https://www.wikidata.org/wiki/Q909669","display_name":"Divisor (algebraic geometry)","level":2,"score":0.31299999356269836},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31220000982284546},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.29510000348091125},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.29190000891685486},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.27790001034736633},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.2621999979019165},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.2597000002861023},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2524000108242035}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/jiot.2025.3624867","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jiot.2025.3624867","pdf_url":null,"source":{"id":"https://openalex.org/S2480266640","display_name":"IEEE Internet of Things Journal","issn_l":"2327-4662","issn":["2327-4662","2372-2541"],"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 Internet of Things Journal","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3317515205","display_name":null,"funder_award_id":"62272040","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W7540341","https://openalex.org/W116648389","https://openalex.org/W251628717","https://openalex.org/W924029577","https://openalex.org/W1497981337","https://openalex.org/W1549588538","https://openalex.org/W1602865989","https://openalex.org/W1766548092","https://openalex.org/W1948403713","https://openalex.org/W2096221836","https://openalex.org/W2141040012","https://openalex.org/W2144862055","https://openalex.org/W2153886246","https://openalex.org/W2156030242","https://openalex.org/W2507186412","https://openalex.org/W2910718665","https://openalex.org/W2963289406","https://openalex.org/W2987865291","https://openalex.org/W3095958347","https://openalex.org/W3170161934","https://openalex.org/W4213307161","https://openalex.org/W4389916457"],"related_works":[],"abstract_inverted_index":{"We":[0],"revisit":[1],"orthogonal":[2],"lattice":[3,77,134],"(OL)":[4],"attacks":[5],"and":[6,59,96,111,169],"rounding":[7],"techniques":[8],"(RT)":[9],"for":[10,103,117],"solving":[11],"the":[12,50,55,71,108,118,127,151,159,173,177,193,197],"Approximate":[13],"Common":[14],"Divisor":[15],"(ACD)":[16],"problem.":[17],"First,":[18],"we":[19,36,80],"systematically":[20],"organize":[21],"all":[22],"existing":[23,39,47],"OL":[24,40,44,63,83],"algorithms":[25,45,84],"within":[26],"a":[27,61,75,90,99,113,186,206],"novel":[28,76],"logical":[29],"framework":[30],"proposed":[31,124,160],"in":[32,107,137,165,180,200],"this":[33],"work.":[34],"Specifically,":[35],"restate":[37],"four":[38],"algorithms,":[41],"construct":[42],"two":[43],"using":[46],"conclusions,":[48],"refine":[49],"AIOL":[51],"algorithm":[52,125,147,161],"by":[53,69],"adjusting":[54],"number":[56,120],"of":[57,121,130,176,196],"samples,":[58,122],"propose":[60],"new":[62,100,114,146],"method":[64],"(Algorithm":[65],"1:":[66],"AIOL-\u03c3).":[67],"Second,":[68],"introducing":[70],"Log-Hermite-factor":[72],"\u03c3":[73],"as":[74,142],"quality":[78],"metric,":[79],"theoretically":[81],"re-analyze":[82],"associated":[85],"with":[86],"\u03c3.":[87],"To":[88],"establish":[89],"quantitative":[91],"link":[92],"between":[93],"ACD":[94,178,198],"parameters":[95],"\u03c3,":[97],"derive":[98],"upper":[101],"bound":[102,116],"short":[104],"vector":[105],"norms":[106],"target":[109],"lattice,":[110],"obtain":[112],"lower":[115],"required":[119],"our":[123,145],"identifies":[126],"optimal":[128],"value":[129],"parameter":[131,135],"\u03b1":[132],"(a":[133],"introduced":[136],"Xu":[138],"et":[139],"al.\u2019s":[140],"work)":[141],"1.":[143],"Consequently,":[144],"remains":[148],"invariant":[149],"under":[150],"RT":[152],"technique.":[153],"Finally,":[154,172],"experimental":[155],"results":[156],"demonstrate":[157],"that":[158],"achieves":[162],"state-of-the-art":[163],"performance":[164],"both":[166],"attack":[167],"efficiency":[168],"sample":[170],"complexity.":[171],"great":[174,194],"potential":[175,195],"problem":[179,199],"IoT":[181,201],"applications":[182,202],"is":[183,203],"verified":[184,204],"through":[185,205],"simple":[187,207],"lightweight":[188,208],"authentication":[189,209],"protocol.":[190,210],"In":[191],"conclusion,":[192]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-23T00:00:00"}