{"id":"https://openalex.org/W2122848127","doi":"https://doi.org/10.1109/cig.2010.5592785","title":"On the degree of the inverse of quadratic permutation polynomial interleavers","display_name":"On the degree of the inverse of quadratic permutation polynomial interleavers","publication_year":2010,"publication_date":"2010-08-01","ids":{"openalex":"https://openalex.org/W2122848127","doi":"https://doi.org/10.1109/cig.2010.5592785","mag":"2122848127"},"language":"en","primary_location":{"id":"doi:10.1109/cig.2010.5592785","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cig.2010.5592785","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Information Theory Workshop","raw_type":"proceedings-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/A5043007974","display_name":"Eeva Suvitie","orcid":null},"institutions":[{"id":"https://openalex.org/I155660961","display_name":"University of Turku","ror":"https://ror.org/05vghhr25","country_code":"FI","type":"education","lineage":["https://openalex.org/I155660961"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Eeva Suvitie","raw_affiliation_strings":["Department of Mathematics, University of Turku, Turku, Finland","University of Turku, Department of Mathematics, FIN-20014 Turku, Finland#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Turku, Turku, Finland","institution_ids":["https://openalex.org/I155660961"]},{"raw_affiliation_string":"University of Turku, Department of Mathematics, FIN-20014 Turku, Finland#TAB#","institution_ids":["https://openalex.org/I155660961"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059710671","display_name":"Jyrki Lahtonen","orcid":null},"institutions":[{"id":"https://openalex.org/I155660961","display_name":"University of Turku","ror":"https://ror.org/05vghhr25","country_code":"FI","type":"education","lineage":["https://openalex.org/I155660961"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Jyrki Lahtonen","raw_affiliation_strings":["Department of Mathematics, University of Turku, Turku, Finland","University of Turku, Department of Mathematics, FIN-20014 Turku, Finland#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Turku, Turku, Finland","institution_ids":["https://openalex.org/I155660961"]},{"raw_affiliation_string":"University of Turku, Department of Mathematics, FIN-20014 Turku, Finland#TAB#","institution_ids":["https://openalex.org/I155660961"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043007974"],"corresponding_institution_ids":["https://openalex.org/I155660961"],"apc_list":null,"apc_paid":null,"fwci":0.451,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.74145941,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9994999766349792,"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/mathematics","display_name":"Mathematics","score":0.7393277883529663},{"id":"https://openalex.org/keywords/chinese-remainder-theorem","display_name":"Chinese remainder theorem","score":0.7008219957351685},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.645331621170044},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.6032376885414124},{"id":"https://openalex.org/keywords/degree-of-a-polynomial","display_name":"Degree of a polynomial","score":0.5751317739486694},{"id":"https://openalex.org/keywords/prime-power","display_name":"Prime power","score":0.5446410179138184},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.5360925793647766},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5349003076553345},{"id":"https://openalex.org/keywords/gr\u00f6bner-basis","display_name":"Gr\u00f6bner basis","score":0.5121095180511475},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.507916271686554},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4716345965862274},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4251558184623718},{"id":"https://openalex.org/keywords/formal-power-series","display_name":"Formal power series","score":0.41963982582092285},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.41155585646629333},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.3976103663444519},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3844365179538727},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.33130478858947754},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07678985595703125}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7393277883529663},{"id":"https://openalex.org/C151635116","wikidata":"https://www.wikidata.org/wiki/Q193878","display_name":"Chinese remainder theorem","level":2,"score":0.7008219957351685},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.645331621170044},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.6032376885414124},{"id":"https://openalex.org/C25878781","wikidata":"https://www.wikidata.org/wiki/Q1473607","display_name":"Degree of a polynomial","level":3,"score":0.5751317739486694},{"id":"https://openalex.org/C174072685","wikidata":"https://www.wikidata.org/wiki/Q1667469","display_name":"Prime power","level":3,"score":0.5446410179138184},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.5360925793647766},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5349003076553345},{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.5121095180511475},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.507916271686554},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4716345965862274},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4251558184623718},{"id":"https://openalex.org/C151746172","wikidata":"https://www.wikidata.org/wiki/Q1003025","display_name":"Formal power series","level":3,"score":0.41963982582092285},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.41155585646629333},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.3976103663444519},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3844365179538727},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.33130478858947754},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07678985595703125},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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":1,"locations":[{"id":"doi:10.1109/cig.2010.5592785","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cig.2010.5592785","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Information Theory Workshop","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1965255762","https://openalex.org/W2041910380","https://openalex.org/W2102630100","https://openalex.org/W2108461683","https://openalex.org/W2126209209","https://openalex.org/W2131769628","https://openalex.org/W4229720453","https://openalex.org/W6608815102"],"related_works":["https://openalex.org/W1608773862","https://openalex.org/W1587481360","https://openalex.org/W2119427743","https://openalex.org/W2787256264","https://openalex.org/W2366394750","https://openalex.org/W2396510923","https://openalex.org/W1569983209","https://openalex.org/W2970640972","https://openalex.org/W2122848127","https://openalex.org/W3089295049"],"abstract_inverted_index":{"An":[0],"integral":[1],"component":[2],"of":[3,50,70,97,131,134],"a":[4,8,38,62,100,113,123,128,138],"turbo":[5],"code":[6],"is":[7,80,105],"carefully":[9],"designed":[10],"interleaver.":[11],"Interleavers":[12],"based":[13,81],"on":[14,82],"quadratic":[15],"permutation":[16],"polynomials":[17,135],"(modulo":[18],"N)":[19],"were":[20,32],"introduced":[21],"by":[22],"Sun":[23],"and":[24,31,44,60,116],"Takeshita.":[25],"They":[26],"have":[27],"several":[28],"good":[29],"properties":[30],"selected":[33],"to":[34,92,106,122],"be":[35],"used":[36],"in":[37],"future":[39],"cellular":[40],"phone":[41],"system.":[42],"Ryu":[43],"Takeshita":[45],"later":[46],"initiated":[47],"the":[48,51,68,76,109,132],"study":[49,93],"related":[52],"deinterleavers.":[53],"Here":[54],"we":[55],"extend":[56],"this":[57],"latter":[58],"work":[59],"introduce":[61],"very":[63],"efficient":[64],"method":[65],"for":[66],"computing":[67],"(degree":[69],"the)":[71],"lowest":[72],"degree":[73,125],"polynomial":[74,126],"giving":[75],"deinterleaver.":[77],"Our":[78,102],"approach":[79],"combining":[83],"two":[84],"techniques.":[85],"The":[86],"Chinese":[87],"remainder":[88],"theorem":[89],"allows":[90],"us":[91],"one":[94],"prime":[95,139],"factor":[96],"N":[98],"at":[99],"time.":[101],"other":[103],"technique":[104],"first":[107],"present":[108],"inverse":[110],"function":[111],"as":[112],"power":[114,120],"series,":[115],"then":[117],"turn":[118],"that":[119],"series":[121],"low":[124],"using":[127],"Gr\u00f6bner":[129],"basis":[130],"ideal":[133],"vanishing":[136],"modulo":[137],"power.":[140]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
