{"id":"https://openalex.org/W4416179441","doi":"https://doi.org/10.1145/3798129.3800754","title":"Generalized Samorodnitsky Noisy Function Inequalities, with Applications to Error-Correcting Codes","display_name":"Generalized Samorodnitsky Noisy Function Inequalities, with Applications to Error-Correcting Codes","publication_year":2026,"publication_date":"2026-06-09","ids":{"openalex":"https://openalex.org/W4416179441","doi":"https://doi.org/10.1145/3798129.3800754"},"language":"en","primary_location":{"id":"doi:10.1145/3798129.3800754","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3798129.3800754","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 58th Annual ACM Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1145/3798129.3800754","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058783345","display_name":"Olakunle S. Abawonse","orcid":null},"institutions":[{"id":"https://openalex.org/I4210112059","display_name":"African Institute for Mathematical Sciences","ror":"https://ror.org/02w32z542","country_code":"RW","type":"education","lineage":["https://openalex.org/I4210112059"]}],"countries":["RW"],"is_corresponding":false,"raw_author_name":"Olakunle Sunday Abawonse","raw_affiliation_strings":["AIMS Rwanda, Kigali, Rwanda"],"raw_orcid":"https://orcid.org/0009-0004-6517-0606","affiliations":[{"raw_affiliation_string":"AIMS Rwanda, Kigali, Rwanda","institution_ids":["https://openalex.org/I4210112059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029284290","display_name":"Jan H\u0105z\u0142a","orcid":null},"institutions":[{"id":"https://openalex.org/I4210112059","display_name":"African Institute for Mathematical Sciences","ror":"https://ror.org/02w32z542","country_code":"RW","type":"education","lineage":["https://openalex.org/I4210112059"]}],"countries":["RW"],"is_corresponding":false,"raw_author_name":"Jan H\u0105z\u0142a","raw_affiliation_strings":["AIMS Rwanda, Kigali, Rwanda"],"raw_orcid":"https://orcid.org/0000-0003-1047-3605","affiliations":[{"raw_affiliation_string":"AIMS Rwanda, Kigali, Rwanda","institution_ids":["https://openalex.org/I4210112059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046051715","display_name":"Ryan O\u2019Donnell","orcid":"https://orcid.org/0000-0001-9734-1263"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ryan O'Donnell","raw_affiliation_strings":["Carnegie Mellon University, Pittsburgh, USA"],"raw_orcid":"https://orcid.org/0000-0001-7608-1458","affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01056038,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"342","last_page":"353"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.2402999997138977,"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":0.2402999997138977,"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/T12029","display_name":"DNA and Biological Computing","score":0.11760000139474869,"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/T11797","display_name":"graph theory and CDMA systems","score":0.08709999918937683,"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/decoding-methods","display_name":"Decoding methods","score":0.5817000269889832},{"id":"https://openalex.org/keywords/erasure","display_name":"Erasure","score":0.47360000014305115},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4203000068664551},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.41029998660087585},{"id":"https://openalex.org/keywords/probability-of-error","display_name":"Probability of error","score":0.4036000072956085},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.37610000371932983},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.3707999885082245},{"id":"https://openalex.org/keywords/binary-erasure-channel","display_name":"Binary erasure channel","score":0.36329999566078186},{"id":"https://openalex.org/keywords/coding-theory","display_name":"Coding theory","score":0.3596000075340271}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7846999764442444},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5817000269889832},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5182999968528748},{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.47360000014305115},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4203000068664551},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4108000099658966},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.41029998660087585},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.4036000072956085},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.37610000371932983},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.3707999885082245},{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.36329999566078186},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3610000014305115},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.3596000075340271},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.34880000352859497},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.33469998836517334},{"id":"https://openalex.org/C84135550","wikidata":"https://www.wikidata.org/wiki/Q3154022","display_name":"Linear inequality","level":3,"score":0.32989999651908875},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.3273000121116638},{"id":"https://openalex.org/C173988684","wikidata":"https://www.wikidata.org/wiki/Q863510","display_name":"Binary symmetric channel","level":4,"score":0.3240000009536743},{"id":"https://openalex.org/C71564387","wikidata":"https://www.wikidata.org/wiki/Q249514","display_name":"Chebyshev's inequality","level":5,"score":0.32350000739097595},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3165000081062317},{"id":"https://openalex.org/C147708781","wikidata":"https://www.wikidata.org/wiki/Q826791","display_name":"Bernstein inequalities","level":3,"score":0.3149999976158142},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.30309998989105225},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.2978000044822693},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.29319998621940613},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.29179999232292175},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.27799999713897705},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.27300000190734863},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.2632000148296356},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.2578999996185303},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.25290000438690186}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3798129.3800754","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3798129.3800754","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 58th Annual ACM Symposium on Theory of Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2508.06940","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2508.06940","pdf_url":"https://arxiv.org/pdf/2508.06940","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2508.06940","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2508.06940","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1145/3798129.3800754","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3798129.3800754","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 58th Annual ACM Symposium on Theory of Computing","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"An":[0],"inequality":[1,40],"by":[2,20],"Samorodnitsky":[3],"states":[4],"that":[5,59,68],"if":[6],"f:F2n":[7],"\u2192":[8],"\u211d":[9],"is":[10,18],"a":[11,27],"nonnegative":[12],"function,":[13],"and":[14],"S":[15],"\u2286":[16],"[n]":[17],"chosen":[19],"randomly":[21],"including":[22],"each":[23],"coordinate":[24],"with":[25,90],"probability":[26,73],"certain":[28],"\u03bb":[29],"=":[30,95],"\u03bb(q,\u03c1)":[31],"<":[32],"1,":[33],"then":[34],"log||T\u03c1f||q":[35],"\u2264":[36],"ES":[37],"log||E(f|S)||q.":[38],"Samorodnitsky\u2019s":[39],"has":[41,69,81],"several":[42],"applications":[43],"to":[44,57],"the":[45,75],"theory":[46],"of":[47],"error-correcting":[48],"codes.":[49],"Perhaps":[50],"most":[51],"notably,":[52],"it":[53],"can":[54],"be":[55],"used":[56],"show":[58],"any":[60],"binary":[61],"linear":[62],"code":[63],"(with":[64],"minimum":[65],"distance":[66],"\u03c9(logn))":[67],"vanishing":[70,82],"decoding":[71,83],"error":[72,84],"on":[74,85],"BEC(\u03bb)":[76],"(binary":[77],"erasure":[78],"channel)":[79],"also":[80],"all":[86],"memoryless":[87],"symmetric":[88],"channels":[89],"capacity":[91],"above":[92],"some":[93],"C":[94],"C(\u03bb).":[96]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}