{"id":"https://openalex.org/W1510589078","doi":"https://doi.org/10.1007/978-3-540-24687-9_72","title":"The Berlekamp-Massey Algorithm. A Sight from Theory of Pade Approximants and Orthogonal Polynomials","display_name":"The Berlekamp-Massey Algorithm. A Sight from Theory of Pade Approximants and Orthogonal Polynomials","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1510589078","doi":"https://doi.org/10.1007/978-3-540-24687-9_72","mag":"1510589078"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-24687-9_72","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-24687-9_72","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-24687-9_72.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-24687-9_72.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089653428","display_name":"S. B. Gashkov","orcid":"https://orcid.org/0000-0003-3406-0063"},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"S. B. Gashkov","raw_affiliation_strings":["Department Mechanics and Mathematics, Moscow State University, 119899, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Department Mechanics and Mathematics, Moscow State University, 119899, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065990367","display_name":"I. B. Gashkov","orcid":null},"institutions":[{"id":"https://openalex.org/I43968019","display_name":"Karlstad University","ror":"https://ror.org/05s754026","country_code":"SE","type":"education","lineage":["https://openalex.org/I43968019"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"I. B. Gashkov","raw_affiliation_strings":["Department of Engineering Sciences,Physics and Mathematics, Karlstad University, 651 88, Karlstad, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Sciences,Physics and Mathematics, Karlstad University, 651 88, Karlstad, Sweden","institution_ids":["https://openalex.org/I43968019"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089653428"],"corresponding_institution_ids":["https://openalex.org/I19880235"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08688341,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"561","last_page":"564"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.991599977016449,"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/laurent-series","display_name":"Laurent series","score":0.7647032737731934},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.7021213173866272},{"id":"https://openalex.org/keywords/pad\u00e9-approximant","display_name":"Pad\u00e9 approximant","score":0.6594398021697998},{"id":"https://openalex.org/keywords/euclidean-algorithm","display_name":"Euclidean algorithm","score":0.6006285548210144},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5901519060134888},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.534500777721405},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5265864729881287},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.45685747265815735},{"id":"https://openalex.org/keywords/laurent-polynomial","display_name":"Laurent polynomial","score":0.45594489574432373},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.41646403074264526},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4149248003959656},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35942739248275757},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.25579583644866943},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24325215816497803},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09600740671157837}],"concepts":[{"id":"https://openalex.org/C184311908","wikidata":"https://www.wikidata.org/wiki/Q425432","display_name":"Laurent series","level":2,"score":0.7647032737731934},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.7021213173866272},{"id":"https://openalex.org/C153150388","wikidata":"https://www.wikidata.org/wiki/Q2452504","display_name":"Pad\u00e9 approximant","level":2,"score":0.6594398021697998},{"id":"https://openalex.org/C98371066","wikidata":"https://www.wikidata.org/wiki/Q230848","display_name":"Euclidean algorithm","level":2,"score":0.6006285548210144},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5901519060134888},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.534500777721405},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5265864729881287},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.45685747265815735},{"id":"https://openalex.org/C106639798","wikidata":"https://www.wikidata.org/wiki/Q1701125","display_name":"Laurent polynomial","level":2,"score":0.45594489574432373},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.41646403074264526},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4149248003959656},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35942739248275757},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.25579583644866943},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24325215816497803},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09600740671157837},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-24687-9_72","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-24687-9_72","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-24687-9_72.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.552.5260","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.552.5260","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.kau.se/igorgach/Statji/statja(2004)1.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/978-3-540-24687-9_72","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-24687-9_72","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-24687-9_72.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1510589078.pdf","grobid_xml":"https://content.openalex.org/works/W1510589078.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W12572060","https://openalex.org/W592374772","https://openalex.org/W1559375430","https://openalex.org/W1594652978","https://openalex.org/W2013220782","https://openalex.org/W2072251416","https://openalex.org/W2110667766","https://openalex.org/W2130129774","https://openalex.org/W2158558186","https://openalex.org/W2162442687","https://openalex.org/W2613956024"],"related_works":["https://openalex.org/W2914928059","https://openalex.org/W598916637","https://openalex.org/W2081635100","https://openalex.org/W2348505179","https://openalex.org/W1624586705","https://openalex.org/W1964634780","https://openalex.org/W4324290356","https://openalex.org/W2752339703","https://openalex.org/W1981405549","https://openalex.org/W2470946243"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}