{"id":"https://openalex.org/W4400035848","doi":"https://doi.org/10.1109/tit.2024.3417894","title":"A New Version of q-Ary Varshamov-Tenengolts Codes With More Efficient Encoders: The Differential VT Codes and The Differential Shifted VT Codes","display_name":"A New Version of q-Ary Varshamov-Tenengolts Codes With More Efficient Encoders: The Differential VT Codes and The Differential Shifted VT Codes","publication_year":2024,"publication_date":"2024-06-26","ids":{"openalex":"https://openalex.org/W4400035848","doi":"https://doi.org/10.1109/tit.2024.3417894"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2024.3417894","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2024.3417894","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/A5081533260","display_name":"Tuan Thanh Nguyen","orcid":"https://orcid.org/0000-0002-3179-9471"},"institutions":[{"id":"https://openalex.org/I152815399","display_name":"Singapore University of Technology and Design","ror":"https://ror.org/05j6fvn87","country_code":"SG","type":"education","lineage":["https://openalex.org/I152815399"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Tuan Thanh Nguyen","raw_affiliation_strings":["Science, Mathematics, and Technology Cluster, Singapore University of Technology and Design, Tampines, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-3179-9471","affiliations":[{"raw_affiliation_string":"Science, Mathematics, and Technology Cluster, Singapore University of Technology and Design, Tampines, Singapore","institution_ids":["https://openalex.org/I152815399"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042415594","display_name":"Kui Cai","orcid":"https://orcid.org/0000-0003-2059-0071"},"institutions":[{"id":"https://openalex.org/I152815399","display_name":"Singapore University of Technology and Design","ror":"https://ror.org/05j6fvn87","country_code":"SG","type":"education","lineage":["https://openalex.org/I152815399"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Kui Cai","raw_affiliation_strings":["Science, Mathematics, and Technology Cluster, Singapore University of Technology and Design, Tampines, Singapore"],"raw_orcid":"https://orcid.org/0000-0003-2059-0071","affiliations":[{"raw_affiliation_string":"Science, Mathematics, and Technology Cluster, Singapore University of Technology and Design, Tampines, Singapore","institution_ids":["https://openalex.org/I152815399"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060049531","display_name":"Paul H. Siegel","orcid":"https://orcid.org/0000-0001-5850-0874"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul H. Siegel","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Center for Memory and Recording Research, University of California San Diego, La Jolla, CA, USA"],"raw_orcid":"https://orcid.org/0000-0001-5850-0874","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Center for Memory and Recording Research, University of California San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.612,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.93622897,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"70","issue":"10","first_page":"6989","last_page":"7004"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9973000288009644,"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":0.9973000288009644,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9959999918937683,"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"}},{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9939000010490417,"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/differential-coding","display_name":"Differential coding","score":0.6510167121887207},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.629464328289032},{"id":"https://openalex.org/keywords/luby-transform-code","display_name":"Luby transform code","score":0.5436264276504517},{"id":"https://openalex.org/keywords/encoder","display_name":"Encoder","score":0.5352656841278076},{"id":"https://openalex.org/keywords/turbo-code","display_name":"Turbo code","score":0.5279998779296875},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5075603723526001},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48755210638046265},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.47324687242507935},{"id":"https://openalex.org/keywords/raptor-code","display_name":"Raptor code","score":0.4709511697292328},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.45356011390686035},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40729978680610657},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3657962381839752},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36322927474975586},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.26297011971473694},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17490941286087036}],"concepts":[{"id":"https://openalex.org/C79880414","wikidata":"https://www.wikidata.org/wiki/Q5275338","display_name":"Differential coding","level":3,"score":0.6510167121887207},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.629464328289032},{"id":"https://openalex.org/C128151799","wikidata":"https://www.wikidata.org/wiki/Q13563306","display_name":"Luby transform code","level":5,"score":0.5436264276504517},{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.5352656841278076},{"id":"https://openalex.org/C114504821","wikidata":"https://www.wikidata.org/wiki/Q2164281","display_name":"Turbo code","level":3,"score":0.5279998779296875},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5075603723526001},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48755210638046265},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.47324687242507935},{"id":"https://openalex.org/C101252705","wikidata":"https://www.wikidata.org/wiki/Q7294373","display_name":"Raptor code","level":5,"score":0.4709511697292328},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.45356011390686035},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40729978680610657},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3657962381839752},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36322927474975586},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.26297011971473694},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17490941286087036},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2024.3417894","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2024.3417894","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":[{"id":"https://openalex.org/G7765929757","display_name":null,"funder_award_id":"T2EP50221-0036","funder_id":"https://openalex.org/F4320323184","funder_display_name":"Ministry of Advanced Education and Technology"}],"funders":[{"id":"https://openalex.org/F4320323184","display_name":"Ministry of Advanced Education and Technology","ror":"https://ror.org/00n0e2d34"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1486765897","https://openalex.org/W1647671624","https://openalex.org/W2060398878","https://openalex.org/W2081354249","https://openalex.org/W2086441968","https://openalex.org/W2090396200","https://openalex.org/W2108610665","https://openalex.org/W2132619738","https://openalex.org/W2135006370","https://openalex.org/W2137445826","https://openalex.org/W2293814030","https://openalex.org/W2584151571","https://openalex.org/W2750272456","https://openalex.org/W2798946892","https://openalex.org/W2962809499","https://openalex.org/W2963284721","https://openalex.org/W2963561675","https://openalex.org/W2976013795","https://openalex.org/W3080426567","https://openalex.org/W3103560002","https://openalex.org/W3105432668","https://openalex.org/W3118614175","https://openalex.org/W3184008446","https://openalex.org/W3197408514","https://openalex.org/W3198362552","https://openalex.org/W4226327253","https://openalex.org/W4289713205","https://openalex.org/W4307205457","https://openalex.org/W4387870162","https://openalex.org/W6636915900","https://openalex.org/W6650062357","https://openalex.org/W6846278157"],"related_works":["https://openalex.org/W2015975016","https://openalex.org/W1976052006","https://openalex.org/W2146740887","https://openalex.org/W2460434904","https://openalex.org/W2149696252","https://openalex.org/W2001137930","https://openalex.org/W2150212378","https://openalex.org/W1981702746","https://openalex.org/W2075924030","https://openalex.org/W1675804769"],"abstract_inverted_index":{"The":[0,136],"problem":[1,36],"of":[2,37,57,85,101,104,110,165,225,232,248,286,342,346,373,394,421,461],"correcting":[3,41,54,64,107,233,391,458],"deletions":[4,23,86,398,468],"and":[5,24,75,150,185,194,244,262,387],"insertions":[6,25,88],"has":[7],"recently":[8],"received":[9],"significantly":[10],"increased":[11],"attention":[12],"due":[13],"to":[14,80,143,267,379,396,454],"the":[15,35,45,76,151,156,163,167,182,209,213,249,259,263,269,290,318,340,343,371,374,381,452],"DNA-based":[16],"data":[17],"storage":[18],"technology,":[19],"which":[20,416],"suffers":[21],"from":[22],"with":[26,118,205,302,402,426],"extremely":[27],"high":[28],"probability.":[29],"In":[30,172,273],"this":[31,173],"work,":[32,174],"we":[33,175,275],"study":[34],"constructing":[38],"non-binary":[39,102,145,226,389,456],"burst-deletion/insertion":[40],"codes.":[42,272],"Particularly,":[43,215],"for":[44,53,115,132,155,195,293,440,471],"quaternary":[46],"alphabet,":[47],"our":[48,198],"designed":[49,337],"codes":[50,63,103,199,228,264,285,378,390,457],"are":[51,159,188,230,265],"suited":[52],"a":[55,65,82,108,178,201,222,234,392,418,459],"burst":[56,84,109,393,460],"deletions/insertions":[58],"in":[59,139,212],"DNA":[60],"storage.":[61],"Non-binary":[62],"single":[66,235,238],"deletion":[67,236],"or":[68,87,237,355,464],"insertion":[69],"were":[70,78],"introduced":[71],"by":[72,89,251,349],"Tenengolts":[73,252,347],"(1984),":[74],"results":[77],"extended":[79],"correct":[81],"fixed-length":[83],"Schoeny":[90],"et":[91,96,423],"al.":[92,97,424],"(2017).":[93],"Recently,":[94],"Wang":[95,422],"(2021)":[98,425],"proposed":[99],"constructions":[100,141],"length":[105,111,287],"n,":[106],"at":[112,177,303,323,350,465],"most":[113,304,466],"two":[114,397,400],"q-ary":[116,157,192,291,382],"alphabets":[117],"redundancy":[119,207,320,341,403,427],"<inline-formula":[120,294,305,325,357,404,428,442,473],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[121,295,306,326,358,405,429,443,474],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[122,296,307,327,359,406,430,444,475],"<tex-math":[123,297,308,328,360,407,431,445,476],"notation=\"LaTeX\">$\\log":[124,329,408,432],"n+O(\\log":[125,433],"q":[126,434],"\\log":[127,128,310,410,435,436],"n)$":[129,437],"</tex-math></inline-formula>":[130,301,314,334,364,414,438],"bits,":[131,415],"arbitrary":[133,472],"even":[134],"q.":[135],"common":[137],"idea":[138,372],"those":[140],"is":[142,256,322],"convert":[144],"sequences":[146,158],"into":[147,283],"binary":[148,169,375],"sequences,":[149,170,193],"error":[152,183],"decoding":[153],"algorithms":[154,187,278],"mainly":[160],"based":[161,257],"on":[162,258],"success":[164],"recovering":[166],"corresponding":[168],"respectively.":[171],"look":[176],"natural":[179],"solution":[180],"that":[181,229,279],"detection":[184],"correction":[186,217,367],"performed":[189],"directly":[190],"over":[191,289],"certain":[196],"cases,":[197],"provide":[200,276],"more":[202,245],"efficient":[203,246],"encoder":[204,211,247,338,345],"lower":[206],"than":[208],"best-known":[210,344],"literature.":[214],"(Single-error":[216],"codes)":[218,368],"We":[219,369,449],"first":[220],"present":[221],"new":[223],"version":[224],"VT":[227,271,377,385],"capable":[231],"insertion,":[239],"providing":[240],"an":[241],"alternative":[242],"simpler":[243],"construction":[250,255,453],"(1984).":[253],"Our":[254,336],"differential":[260,270,383],"vector,":[261],"referred":[266],"as":[268],"addition,":[274],"linear-time":[277],"encode":[280],"user":[281],"messages":[282],"these":[284],"n":[288],"alphabet":[292],"notation=\"LaTeX\">$q":[298],"\\geqslant":[299],"2$":[300,478],"notation=\"LaTeX\">$\\lceil":[309],"_{q}":[311,330,332],"n\\rceil":[312],"+1$":[313],"redundant":[315,353],"symbols,":[316],"while":[317],"optimal":[319],"required":[321],"least":[324,351],"n+\\log":[331],"(q-1)$":[333],"symbols.":[335],"reduces":[339],"(1984)":[348],"2":[352],"symbols":[354],"equivalently":[356],"notation=\"LaTeX\">$2\\log":[361],"_{2}":[362],"q$":[363],"bits.":[365],"(Burst-error":[366],"use":[370],"shifted":[376,384],"define":[380],"codes,":[386],"propose":[388],"up":[395],"(or":[399,469],"insertions)":[401,470],"n+3\\log":[409],"n+":[411],"O(\\log":[412],"q)$":[413],"improves":[417],"recent":[419],"result":[420],"bits":[439],"all":[441],"notation=\"LaTeX\">$q\\geqslant":[446],"8$":[447],"</tex-math></inline-formula>.":[448,479],"then":[450],"extend":[451],"design":[455],"either":[462],"exactly":[463],"t":[467],"notation=\"LaTeX\">$t\\geqslant":[477]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":2}],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2024-06-27T00:00:00"}