{"id":"https://openalex.org/W2162150545","doi":"https://doi.org/10.37236/1726","title":"Bounds for DNA Codes with Constant GC-Content","display_name":"Bounds for DNA Codes with Constant GC-Content","publication_year":2003,"publication_date":"2003-09-08","ids":{"openalex":"https://openalex.org/W2162150545","doi":"https://doi.org/10.37236/1726","mag":"2162150545"},"language":"en","primary_location":{"id":"doi:10.37236/1726","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1726","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v10i1r33/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v10i1r33/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085529697","display_name":"Oliver D. King","orcid":"https://orcid.org/0000-0002-9460-4491"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Oliver D. King","raw_affiliation_strings":[", w) Department of Biological Chemistry and Molecular Pharmacology, Harvard Medical School, 250 Longwood Avenue, SGMB-322 Boston, Massachusetts 02115,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":", w) Department of Biological Chemistry and Molecular Pharmacology, Harvard Medical School, 250 Longwood Avenue, SGMB-322 Boston, Massachusetts 02115,","institution_ids":["https://openalex.org/I136199984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085529697"],"corresponding_institution_ids":["https://openalex.org/I136199984"],"apc_list":null,"apc_paid":null,"fwci":0.8017,"has_fulltext":true,"cited_by_count":114,"citation_normalized_percentile":{"value":0.7071599,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"10","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9998999834060669,"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/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9998999834060669,"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/T12029","display_name":"DNA and Biological Computing","score":0.9998999834060669,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9879000186920166,"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/combinatorics","display_name":"Combinatorics","score":0.7415592074394226},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7413208484649658},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.720901608467102},{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.6609249114990234},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5996582508087158},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.5912660360336304},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.5243349671363831},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4402826428413391},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4384385943412781},{"id":"https://openalex.org/keywords/gc-content","display_name":"GC-content","score":0.41919419169425964},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.22949489951133728},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16217973828315735},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09865978360176086},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.08675417304039001},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05483776330947876},{"id":"https://openalex.org/keywords/genome","display_name":"Genome","score":0.05317315459251404}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7415592074394226},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7413208484649658},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.720901608467102},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.6609249114990234},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5996582508087158},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.5912660360336304},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.5243349671363831},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4402826428413391},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4384385943412781},{"id":"https://openalex.org/C42251679","wikidata":"https://www.wikidata.org/wiki/Q933491","display_name":"GC-content","level":4,"score":0.41919419169425964},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.22949489951133728},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16217973828315735},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09865978360176086},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.08675417304039001},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05483776330947876},{"id":"https://openalex.org/C141231307","wikidata":"https://www.wikidata.org/wiki/Q7020","display_name":"Genome","level":3,"score":0.05317315459251404},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.37236/1726","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1726","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v10i1r33/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.234.6439","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.234.6439","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0306197v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.234.7524","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.234.7524","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0306197v2.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.3.8022","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.3.8022","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/Volume_10/PDF/v10i1r33.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.5.251","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.5.251","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://llama.med.harvard.edu/publications/King_EJCombinatorics_2003.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.5.4543","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.5.4543","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/Volume_10/PostScriptfiles/v10i1r33.ps","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/1726","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1726","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v10i1r33/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337348","display_name":"National Human Genome Research Institute","ror":"https://ror.org/00baak391"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2162150545.pdf","grobid_xml":"https://content.openalex.org/works/W2162150545.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W58239232","https://openalex.org/W185452705","https://openalex.org/W1484564260","https://openalex.org/W1516283971","https://openalex.org/W1562861155","https://openalex.org/W1606480398","https://openalex.org/W1607609391","https://openalex.org/W1989767423","https://openalex.org/W1991527894","https://openalex.org/W2031214412","https://openalex.org/W2041588219","https://openalex.org/W2052129564","https://openalex.org/W2074993099","https://openalex.org/W2090906256","https://openalex.org/W2099215797","https://openalex.org/W2099479910","https://openalex.org/W2114436764","https://openalex.org/W2129224561","https://openalex.org/W2142293082","https://openalex.org/W2155659880","https://openalex.org/W2167413626","https://openalex.org/W2169838799","https://openalex.org/W3143387653","https://openalex.org/W6660838144","https://openalex.org/W6669276875","https://openalex.org/W6679128508"],"related_works":["https://openalex.org/W2943247777","https://openalex.org/W2740543340","https://openalex.org/W2371167013","https://openalex.org/W1582340598","https://openalex.org/W1541021634","https://openalex.org/W2779867339","https://openalex.org/W2794545997","https://openalex.org/W2584980534","https://openalex.org/W2182731056","https://openalex.org/W66917582"],"abstract_inverted_index":{"We":[0,51],"derive":[1],"theoretical":[2],"upper":[3],"and":[4,21,28,41,72],"lower":[5],"bounds":[6],"on":[7],"the":[8,30,34,42,60,68],"maximum":[9],"size":[10],"of":[11,14,44,67],"DNA":[12],"codes":[13,55,63],"length":[15],"$n$":[16],"with":[17,27],"constant":[18],"GC-content":[19],"$w$":[20],"minimum":[22,35],"Hamming":[23,36],"distance":[24,37],"$d$,":[25],"both":[26],"without":[29],"additional":[31],"constraint":[32],"that":[33,56],"between":[38],"any":[39,45],"codeword":[40,46],"reverse-complement":[43],"be":[47],"at":[48],"least":[49],"$d$.":[50],"also":[52],"explicitly":[53],"construct":[54],"are":[57],"larger":[58],"than":[59],"best":[61],"previously-published":[62],"for":[64],"many":[65],"choices":[66],"parameters":[69],"$n$,":[70],"$d$":[71],"$w$.":[73]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":7}],"updated_date":"2026-06-03T09:05:47.796612","created_date":"2025-10-10T00:00:00"}
