{"id":"https://openalex.org/W2904834213","doi":"https://doi.org/10.1145/3326229.3326230","title":"Krawtchouk Polynomials and Quadratic Semi-Regular Sequences","display_name":"Krawtchouk Polynomials and Quadratic Semi-Regular Sequences","publication_year":2019,"publication_date":"2019-07-08","ids":{"openalex":"https://openalex.org/W2904834213","doi":"https://doi.org/10.1145/3326229.3326230","mag":"2904834213"},"language":"en","primary_location":{"id":"doi:10.1145/3326229.3326230","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3326229.3326230","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2019 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1812.04992","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029184286","display_name":"Stavros Kousidis","orcid":"https://orcid.org/0000-0002-6947-4963"},"institutions":[{"id":"https://openalex.org/I1317578790","display_name":"Federal Office for Information Security","ror":"https://ror.org/03v7mmm26","country_code":"DE","type":"other","lineage":["https://openalex.org/I1317578790"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Stavros Kousidis","raw_affiliation_strings":["Federal Office for Information Security, Bonn, Germany"],"affiliations":[{"raw_affiliation_string":"Federal Office for Information Security, Bonn, Germany","institution_ids":["https://openalex.org/I1317578790"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029184286"],"corresponding_institution_ids":["https://openalex.org/I1317578790"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02555138,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"243","last_page":"250"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9995999932289124,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kravchuk-polynomials","display_name":"Kravchuk polynomials","score":0.7811641693115234},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7394784688949585},{"id":"https://openalex.org/keywords/discrete-orthogonal-polynomials","display_name":"Discrete orthogonal polynomials","score":0.7026028037071228},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.6238102316856384},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.5801011919975281},{"id":"https://openalex.org/keywords/difference-polynomials","display_name":"Difference polynomials","score":0.573402464389801},{"id":"https://openalex.org/keywords/gegenbauer-polynomials","display_name":"Gegenbauer polynomials","score":0.5284457206726074},{"id":"https://openalex.org/keywords/wilson-polynomials","display_name":"Wilson polynomials","score":0.5267961621284485},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.503290593624115},{"id":"https://openalex.org/keywords/overdetermined-system","display_name":"Overdetermined system","score":0.4889291822910309},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.47701382637023926},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.45703306794166565},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.4433283507823944},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4270389676094055},{"id":"https://openalex.org/keywords/hahn-polynomials","display_name":"Hahn polynomials","score":0.4125666618347168},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3548862040042877},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.344106525182724},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32876911759376526},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28060945868492126}],"concepts":[{"id":"https://openalex.org/C118797610","wikidata":"https://www.wikidata.org/wiki/Q4298931","display_name":"Kravchuk polynomials","level":5,"score":0.7811641693115234},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7394784688949585},{"id":"https://openalex.org/C52537462","wikidata":"https://www.wikidata.org/wiki/Q5282055","display_name":"Discrete orthogonal polynomials","level":3,"score":0.7026028037071228},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.6238102316856384},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.5801011919975281},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.573402464389801},{"id":"https://openalex.org/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"score":0.5284457206726074},{"id":"https://openalex.org/C43176163","wikidata":"https://www.wikidata.org/wiki/Q8023263","display_name":"Wilson polynomials","level":4,"score":0.5267961621284485},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.503290593624115},{"id":"https://openalex.org/C81901731","wikidata":"https://www.wikidata.org/wiki/Q331348","display_name":"Overdetermined system","level":2,"score":0.4889291822910309},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.47701382637023926},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.45703306794166565},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.4433283507823944},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4270389676094055},{"id":"https://openalex.org/C61349858","wikidata":"https://www.wikidata.org/wiki/Q1568814","display_name":"Hahn polynomials","level":5,"score":0.4125666618347168},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3548862040042877},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.344106525182724},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32876911759376526},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28060945868492126},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3326229.3326230","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3326229.3326230","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2019 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1812.04992","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.04992","pdf_url":"https://arxiv.org/pdf/1812.04992","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1812.04992","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.04992","pdf_url":"https://arxiv.org/pdf/1812.04992","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W135409917","https://openalex.org/W2005423095","https://openalex.org/W2020180232","https://openalex.org/W2025299391","https://openalex.org/W2026439994","https://openalex.org/W2038345254","https://openalex.org/W2069010076","https://openalex.org/W2069918448","https://openalex.org/W2110741708","https://openalex.org/W2125970809","https://openalex.org/W2131218687","https://openalex.org/W2137017063","https://openalex.org/W2169207476","https://openalex.org/W2571142367","https://openalex.org/W2578656579","https://openalex.org/W2591842745","https://openalex.org/W3038165843","https://openalex.org/W4205593132","https://openalex.org/W4253658618"],"related_works":["https://openalex.org/W27009688","https://openalex.org/W2052308123","https://openalex.org/W2072647369","https://openalex.org/W2010340235","https://openalex.org/W2061929729","https://openalex.org/W645607024","https://openalex.org/W2012860697","https://openalex.org/W199443074","https://openalex.org/W101473165","https://openalex.org/W1488523135"],"abstract_inverted_index":{"We":[0],"derive":[1],"lower":[2],"und":[3],"upper":[4],"bounds":[5],"on":[6,27],"the":[7,28,31,36,39,51],"degree":[8],"of":[9,11,20,30,38,42,44,48],"regularity":[10],"an":[12],"overdetermined,":[13],"zero-dimensional":[14],"and":[15],"homogeneous":[16],"quadratic":[17],"semi-regular":[18],"system":[19],"polynomial":[21],"equations.":[22],"The":[23],"analysis":[24],"is":[25],"based":[26],"interpretation":[29],"associated":[32],"Hilbert":[33],"series":[34],"as":[35],"truncation":[37],"generating":[40],"function":[41],"values":[43],"a":[45],"certain":[46],"family":[47],"orthogonal":[49],"polynomials,":[50],"Krawtchouk":[52],"polynomials.":[53]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}