{"id":"https://openalex.org/W2963812225","doi":"https://doi.org/10.1109/tit.2019.2906301","title":"The Shift Bound for Abelian Codes and Generalizations of the Donoho-Stark Uncertainty Principle","display_name":"The Shift Bound for Abelian Codes and Generalizations of the Donoho-Stark Uncertainty Principle","publication_year":2019,"publication_date":"2019-03-20","ids":{"openalex":"https://openalex.org/W2963812225","doi":"https://doi.org/10.1109/tit.2019.2906301","mag":"2963812225"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2019.2906301","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2906301","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/A5049623145","display_name":"Tao Feng","orcid":"https://orcid.org/0000-0002-3276-6129"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Feng","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089300685","display_name":"Henk D. L. Hollmann","orcid":"https://orcid.org/0000-0003-4005-2369"},"institutions":[{"id":"https://openalex.org/I109147379","display_name":"NXP (Netherlands)","ror":"https://ror.org/059be4e97","country_code":"NL","type":"company","lineage":["https://openalex.org/I109147379"]},{"id":"https://openalex.org/I4210122849","display_name":"Philips (Netherlands)","ror":"https://ror.org/02p2bgp27","country_code":"NL","type":"company","lineage":["https://openalex.org/I4210122849"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Henk D. L. Hollmann","raw_affiliation_strings":["Philips IP&S, HTC 34, Eindhoven, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0003-4005-2369","affiliations":[{"raw_affiliation_string":"Philips IP&S, HTC 34, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I109147379","https://openalex.org/I4210122849"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071815430","display_name":"Qing Xiang","orcid":"https://orcid.org/0000-0002-4928-9453"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qing Xiang","raw_affiliation_strings":["Department of Mathematical Sciences, University of Delaware, Newark, DE, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Delaware, Newark, DE, USA","institution_ids":["https://openalex.org/I86501945"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5784,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.7561775,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"65","issue":"8","first_page":"4673","last_page":"4682"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9965999722480774,"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/abelian-group","display_name":"Abelian group","score":0.6050878167152405},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49528494477272034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43350738286972046},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34566158056259155},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.22883450984954834},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08877632021903992}],"concepts":[{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6050878167152405},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49528494477272034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43350738286972046},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34566158056259155},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.22883450984954834},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08877632021903992}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2019.2906301","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2906301","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/G3345355276","display_name":"\u6709\u9650\u6781\u7a7a\u95f4\u76f8\u5173\u7684\u51e0\u4f55\u7ed3\u6784\u7814\u7a76","funder_award_id":"11771392","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3884422842","display_name":null,"funder_award_id":"DMS 1600850","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/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W13283238","https://openalex.org/W596647513","https://openalex.org/W1001633438","https://openalex.org/W1481966678","https://openalex.org/W1546439796","https://openalex.org/W1593683169","https://openalex.org/W1596578766","https://openalex.org/W1606480398","https://openalex.org/W1888174328","https://openalex.org/W1964503547","https://openalex.org/W1978920825","https://openalex.org/W2008996447","https://openalex.org/W2009505312","https://openalex.org/W2015064056","https://openalex.org/W2031621001","https://openalex.org/W2035816523","https://openalex.org/W2039466900","https://openalex.org/W2053789337","https://openalex.org/W2059431686","https://openalex.org/W2069776505","https://openalex.org/W2071042641","https://openalex.org/W2079513079","https://openalex.org/W2124005487","https://openalex.org/W2125455772","https://openalex.org/W2139106271","https://openalex.org/W2143130349","https://openalex.org/W2154332973","https://openalex.org/W2162118201","https://openalex.org/W2167208435","https://openalex.org/W2501012592","https://openalex.org/W3086411875","https://openalex.org/W4229923956","https://openalex.org/W4298425892","https://openalex.org/W6660458140","https://openalex.org/W6678094967","https://openalex.org/W6783482327"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644"],"abstract_inverted_index":{"Let":[0],"G":[1,10,73,81],"be":[2],"a":[3,14,47,58,61,77,83,90],"finite":[4],"abelian":[5,44],"group.":[6],"If":[7],"f":[8,71,88],":":[9,72],"\u2192":[11,74],"C":[12],"is":[13,35,76,105],"nonzero":[15],"function":[16,79],"with":[17,46],"Fourier":[18,91],"transform":[19,92],"f,":[20],"the":[21,40,53,64,94,106],"Donoho-Stark":[22,65],"uncertainty":[23,66,96],"principle":[24,97],"states":[25,98],"that":[26,99],"|supp(f)||supp(f\u0302)|":[27,100],"\u2265":[28,101],"|G|.":[29],"The":[30],"purpose":[31],"of":[32,63,108],"this":[33],"paper":[34],"twofold.":[36],"First,":[37],"we":[38,51],"present":[39],"shift":[41],"bound":[42],"for":[43],"codes":[45],"streamlined":[48],"proof.":[49],"Second,":[50],"use":[52],"shifting":[54],"technique":[55],"to":[56,82],"prove":[57],"generalization":[59],"and":[60,86],"sharpening":[62],"principle.":[67],"In":[68],"particular,":[69],"if":[70,87],"F":[75],"non-zero":[78],"from":[80],"field":[84],"F,":[85],"has":[89],"f\u0302,":[93],"sharpened":[95],"|G|+|supp(f)|-|H(supp(f))|,":[102],"where":[103],"H(supp(f))":[104],"stabilizer":[107],"supp(f)":[109],"in":[110],"G.":[111]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
