{"id":"https://openalex.org/W1976783450","doi":"https://doi.org/10.1109/bibm.2014.6999202","title":"Arithmetic computation using self-assembly of DNA tiles: Integer power over finite field GF(2&lt;sup&gt;n&lt;/sup&gt;)","display_name":"Arithmetic computation using self-assembly of DNA tiles: Integer power over finite field GF(2&lt;sup&gt;n&lt;/sup&gt;)","publication_year":2014,"publication_date":"2014-11-01","ids":{"openalex":"https://openalex.org/W1976783450","doi":"https://doi.org/10.1109/bibm.2014.6999202","mag":"1976783450"},"language":"en","primary_location":{"id":"doi:10.1109/bibm.2014.6999202","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bibm.2014.6999202","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Bioinformatics and Biomedicine (BIBM)","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":"https://openalex.org/A5101885941","display_name":"Yongnan Li","orcid":"https://orcid.org/0000-0003-1607-7486"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]},{"id":"https://openalex.org/I37448385","display_name":"China People's Public Security University","ror":"https://ror.org/05twya590","country_code":"CN","type":"education","lineage":["https://openalex.org/I37448385"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yongnan Li","raw_affiliation_strings":["Department of Policing Intelligence, Chinese People's Public Security University, Beijing, China","School of Computer Science and Engineering, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Policing Intelligence, Chinese People's Public Security University, Beijing, China","institution_ids":["https://openalex.org/I37448385"]},{"raw_affiliation_string":"School of Computer Science and Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027553782","display_name":"Limin Xiao","orcid":"https://orcid.org/0000-0002-9806-5851"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Limin Xiao","raw_affiliation_strings":["School of Computer Science and Engineering, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101885941"],"corresponding_institution_ids":["https://openalex.org/I37448385","https://openalex.org/I82880672"],"apc_list":null,"apc_paid":null,"fwci":0.1394,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.51780303,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"6","issue":null,"first_page":"471","last_page":"475"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9950000047683716,"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/integer","display_name":"Integer (computer science)","score":0.6445428729057312},{"id":"https://openalex.org/keywords/dna-computing","display_name":"DNA computing","score":0.6158836483955383},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6070711612701416},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5808368921279907},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5304312705993652},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5018997192382812},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4445228576660156},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43405526876449585},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37568163871765137},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34648796916007996},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3281805217266083},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11747467517852783},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09888350963592529}],"concepts":[{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6445428729057312},{"id":"https://openalex.org/C82047324","wikidata":"https://www.wikidata.org/wiki/Q177126","display_name":"DNA computing","level":3,"score":0.6158836483955383},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6070711612701416},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5808368921279907},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5304312705993652},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5018997192382812},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4445228576660156},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43405526876449585},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37568163871765137},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34648796916007996},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3281805217266083},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11747467517852783},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09888350963592529}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/bibm.2014.6999202","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bibm.2014.6999202","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Bioinformatics and Biomedicine (BIBM)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1480272253","https://openalex.org/W1496016521","https://openalex.org/W1736726354","https://openalex.org/W1977312644","https://openalex.org/W1979237113","https://openalex.org/W1979622441","https://openalex.org/W1980525840","https://openalex.org/W1982939827","https://openalex.org/W1991340375","https://openalex.org/W2022943108","https://openalex.org/W2027603534","https://openalex.org/W2036058103","https://openalex.org/W2051595055","https://openalex.org/W2071860466","https://openalex.org/W2085987163","https://openalex.org/W2112564551","https://openalex.org/W2139246326","https://openalex.org/W2139374485","https://openalex.org/W2160739883","https://openalex.org/W2333360417","https://openalex.org/W4244700024","https://openalex.org/W6638324550","https://openalex.org/W6683707918"],"related_works":["https://openalex.org/W4255246195","https://openalex.org/W2265877813","https://openalex.org/W2010309799","https://openalex.org/W2111574254","https://openalex.org/W2745028444","https://openalex.org/W2553638045","https://openalex.org/W4387682159","https://openalex.org/W2599890191","https://openalex.org/W2184153954","https://openalex.org/W2017159075"],"abstract_inverted_index":{"DNA-based":[0],"cryptography":[1],"is":[2,18,76,96,106],"a":[3,40],"new":[4],"developing":[5],"interdisciplinary":[6],"area":[7],"which":[8],"combines":[9],"cryptography,":[10],"mathematical":[11],"modeling,":[12],"biochemistry":[13],"and":[14,87,102,124],"molecular":[15],"biology.":[16],"It":[17,75],"still":[19],"an":[20],"open":[21],"question":[22],"that":[23,78],"how":[24,79,88],"to":[25,44,70],"implement":[26],"the":[27,65,73,80,103],"arithmetic":[28],"operations":[29],"used":[30],"in":[31,85],"cryptosystem":[32],"based":[33],"on":[34],"DNA":[35,41],"computing.":[36],"This":[37,116],"paper":[38],"proposes":[39],"computing":[42],"model":[43,117],"compute":[45],"integer":[46],"power":[47],"over":[48],"finite":[49],"field":[50],"GF(2":[51],"<sup":[52,98,108,112],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[53,99,109,113],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[54],").":[55],"The":[56,92],"computation":[57,81,122],"tiles":[58,82,123],"performing":[59],"five":[60],"different":[61],"functions":[62],"assemble":[63],"into":[64],"seed":[66],"configuration":[67],"with":[68],"inputs":[69],"figure":[71],"out":[72],"result.":[74],"given":[77],"be":[83],"coded":[84],"bits":[86],"assembly":[89,93],"rules":[90],"work.":[91],"time":[94],"complexity":[95,105],"2n":[97],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[100],"+n-1":[101],"space":[104],"n":[107],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">4</sup>":[110],"+n":[111],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3</sup>":[114],".":[115],"requires":[118],"6436":[119],"types":[120,126],"of":[121,127],"12":[125],"boundary":[128],"tiles.":[129]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}