{"id":"https://openalex.org/W2178619976","doi":"https://doi.org/10.1109/isit.2010.5513592","title":"Constant-weight Gray codes for local rank modulation","display_name":"Constant-weight Gray codes for local rank modulation","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2178619976","doi":"https://doi.org/10.1109/isit.2010.5513592","mag":"2178619976"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2010.5513592","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513592","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://resolver.caltech.edu/CaltechPARADISE:2010.ETR105","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054043026","display_name":"Moshe Schwartz","orcid":"https://orcid.org/0000-0002-1449-0026"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Moshe Schwartz","raw_affiliation_strings":["Electrical and Computer Engineering, Ben-Gurion University of the Negev, Beersheba, Israel"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering, Ben-Gurion University of the Negev, Beersheba, Israel","institution_ids":["https://openalex.org/I124227911"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5054043026"],"corresponding_institution_ids":["https://openalex.org/I124227911"],"apc_list":null,"apc_paid":null,"fwci":4.1969,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.94315381,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"4","issue":null,"first_page":"869","last_page":"873"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9995999932289124,"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/rank","display_name":"Rank (graph theory)","score":0.5966358184814453},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5767687559127808},{"id":"https://openalex.org/keywords/modulation","display_name":"Modulation (music)","score":0.5103160738945007},{"id":"https://openalex.org/keywords/gray-code","display_name":"Gray code","score":0.4683593809604645},{"id":"https://openalex.org/keywords/asymptotically-optimal-algorithm","display_name":"Asymptotically optimal algorithm","score":0.4541054666042328},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4411129057407379},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3836307227611542},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34677308797836304},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29920297861099243},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06610158085823059},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05722391605377197}],"concepts":[{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5966358184814453},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5767687559127808},{"id":"https://openalex.org/C123079801","wikidata":"https://www.wikidata.org/wiki/Q750240","display_name":"Modulation (music)","level":2,"score":0.5103160738945007},{"id":"https://openalex.org/C129861397","wikidata":"https://www.wikidata.org/wiki/Q332772","display_name":"Gray code","level":2,"score":0.4683593809604645},{"id":"https://openalex.org/C181789720","wikidata":"https://www.wikidata.org/wiki/Q4812191","display_name":"Asymptotically optimal algorithm","level":2,"score":0.4541054666042328},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4411129057407379},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3836307227611542},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34677308797836304},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29920297861099243},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06610158085823059},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05722391605377197},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2010.5513592","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513592","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:authors.library.caltech.edu:26136","is_oa":true,"landing_page_url":"https://authors.library.caltech.edu/26136/","pdf_url":"https://resolver.caltech.edu/CaltechPARADISE:2010.ETR105","source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Report or Paper"}],"best_oa_location":{"id":"pmh:oai:authors.library.caltech.edu:26136","is_oa":true,"landing_page_url":"https://authors.library.caltech.edu/26136/","pdf_url":"https://resolver.caltech.edu/CaltechPARADISE:2010.ETR105","source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Report or Paper"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5739731800","display_name":"Collaborative Research: BRAM: Balanced RAnk Modulation for data storage in next generation flash memories","funder_award_id":"0802107","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7530727034","display_name":null,"funder_award_id":"480/08","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320337392","display_name":"Division of Electrical, Communications and Cyber Systems","ror":"https://ror.org/01krpsy48"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2178619976.pdf","grobid_xml":"https://content.openalex.org/works/W2178619976.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W93405014","https://openalex.org/W330359950","https://openalex.org/W1480210121","https://openalex.org/W1495550473","https://openalex.org/W1606480398","https://openalex.org/W1971930515","https://openalex.org/W1973288683","https://openalex.org/W1979021998","https://openalex.org/W2025829207","https://openalex.org/W2027875058","https://openalex.org/W2040651417","https://openalex.org/W2041807026","https://openalex.org/W2046815858","https://openalex.org/W2057383973","https://openalex.org/W2057436596","https://openalex.org/W2060454056","https://openalex.org/W2065625350","https://openalex.org/W2068050433","https://openalex.org/W2076639947","https://openalex.org/W2087888940","https://openalex.org/W2091923122","https://openalex.org/W2095694837","https://openalex.org/W2108799111","https://openalex.org/W2109386785","https://openalex.org/W2110233418","https://openalex.org/W2115370421","https://openalex.org/W2125077729","https://openalex.org/W2129402985","https://openalex.org/W2130908226","https://openalex.org/W2144030381","https://openalex.org/W2146724395","https://openalex.org/W2147248622","https://openalex.org/W2147353956","https://openalex.org/W2149434632","https://openalex.org/W2157965287","https://openalex.org/W2159338688","https://openalex.org/W2162586834","https://openalex.org/W2167137513","https://openalex.org/W2167630369","https://openalex.org/W2293169577","https://openalex.org/W2484502557","https://openalex.org/W6677338443","https://openalex.org/W6681180202","https://openalex.org/W7027391152"],"related_works":["https://openalex.org/W2062382636","https://openalex.org/W436631138","https://openalex.org/W2047950482","https://openalex.org/W2163788280","https://openalex.org/W3148718598","https://openalex.org/W2012749513","https://openalex.org/W2008268605","https://openalex.org/W1557064786","https://openalex.org/W1647069448","https://openalex.org/W2570004196"],"abstract_inverted_index":{"We":[0,46,71,85],"consider":[1],"the":[2,30,52,66,76],"local":[3,24,53],"rank-modulation":[4,31,54],"scheme":[5,55],"in":[6,43,56],"which":[7,120],"a":[8,13,19,27,38],"sliding":[9],"window":[10],"going":[11],"over":[12],"sequence":[14,20],"of":[15,21,29,40,68,78,90,113],"real-valued":[16],"variables":[17],"induces":[18],"permutations.":[22],"The":[23],"rank-modulation,":[25],"as":[26,37],"generalization":[28],"scheme,":[32],"has":[33],"been":[34],"recently":[35],"suggested":[36],"way":[39],"storing":[41],"information":[42],"flash":[44,62],"memory.":[45],"study":[47,88,111],"constant-weight":[48],"Gray":[49,83],"codes":[50,89,112,119],"for":[51,75],"order":[57],"to":[58],"simulate":[59],"conventional":[60],"multi-level":[61],"cells":[63],"while":[64],"retaining":[65],"benefits":[67],"rank":[69],"modulation.":[70],"provide":[72],"necessary":[73],"conditions":[74],"existence":[77],"cyclic":[79,81,106],"and":[80,93,116],"optimal":[82],"codes.":[84,107],"then":[86],"specifically":[87],"weight":[91,114],"2":[92],"upper":[94],"bound":[95],"their":[96],"efficiency,":[97],"thus":[98],"proving":[99],"that":[100],"there":[101],"are":[102,121],"no":[103],"such":[104],"asymptotically-optimal":[105],"In":[108],"contrast,":[109],"we":[110],"3":[115],"efficiently":[117],"construct":[118],"asymptotically-optimal.":[122]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
