{"id":"https://openalex.org/W1965841830","doi":"https://doi.org/10.1007/s10623-012-9632-3","title":"Algebraic decoding of negacyclic codes over $${\\mathbb Z_4}$$","display_name":"Algebraic decoding of negacyclic codes over $${\\mathbb Z_4}$$","publication_year":2012,"publication_date":"2012-04-06","ids":{"openalex":"https://openalex.org/W1965841830","doi":"https://doi.org/10.1007/s10623-012-9632-3","mag":"1965841830"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-012-9632-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-012-9632-3","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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/A5025217200","display_name":"Eimear Byrne","orcid":"https://orcid.org/0000-0002-1857-0365"},"institutions":[{"id":"https://openalex.org/I100930933","display_name":"University College Dublin","ror":"https://ror.org/05m7pjf47","country_code":"IE","type":"education","lineage":["https://openalex.org/I100930933"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Eimear Byrne","raw_affiliation_strings":["Claude Shannon Institute, School of Mathematical Sciences, University College Dublin, Dublin 4, Ireland","Claude Shannon Institute, School of Mathematical Sciences, University College Dublin, Dublin 4, Ireland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Claude Shannon Institute, School of Mathematical Sciences, University College Dublin, Dublin 4, Ireland","institution_ids":["https://openalex.org/I100930933"]},{"raw_affiliation_string":"Claude Shannon Institute, School of Mathematical Sciences, University College Dublin, Dublin 4, Ireland#TAB#","institution_ids":["https://openalex.org/I100930933"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056687416","display_name":"Marcus Greferath","orcid":"https://orcid.org/0000-0002-3102-4350"},"institutions":[{"id":"https://openalex.org/I100930933","display_name":"University College Dublin","ror":"https://ror.org/05m7pjf47","country_code":"IE","type":"education","lineage":["https://openalex.org/I100930933"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Marcus Greferath","raw_affiliation_strings":["Claude Shannon Institute, School of Mathematical Sciences, University College Dublin, Dublin 4, Ireland","Claude Shannon Institute, School of Mathematical Sciences, University College Dublin, Dublin 4, Ireland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Claude Shannon Institute, School of Mathematical Sciences, University College Dublin, Dublin 4, Ireland","institution_ids":["https://openalex.org/I100930933"]},{"raw_affiliation_string":"Claude Shannon Institute, School of Mathematical Sciences, University College Dublin, Dublin 4, Ireland#TAB#","institution_ids":["https://openalex.org/I100930933"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033278381","display_name":"Jaume Pernas","orcid":null},"institutions":[{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jaume Pernas","raw_affiliation_strings":["Departament d\u2019Enginyeria de la Informaci\u00f3 i de les Comunicacions, Universitat Autonoma de Barcelona, Bellaterra, Spain","[Departament d\u2019Enginyeria de la Informaci\u00f3 i de les Comunicacions, Universitat Aut\u00f2noma de Barcelona, Bellaterra, Spain]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament d\u2019Enginyeria de la Informaci\u00f3 i de les Comunicacions, Universitat Autonoma de Barcelona, Bellaterra, Spain","institution_ids":["https://openalex.org/I123044942"]},{"raw_affiliation_string":"[Departament d\u2019Enginyeria de la Informaci\u00f3 i de les Comunicacions, Universitat Aut\u00f2noma de Barcelona, Bellaterra, Spain]","institution_ids":["https://openalex.org/I123044942"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019886277","display_name":"Jens Zumbr\u00e4gel","orcid":null},"institutions":[{"id":"https://openalex.org/I100930933","display_name":"University College Dublin","ror":"https://ror.org/05m7pjf47","country_code":"IE","type":"education","lineage":["https://openalex.org/I100930933"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Jens Zumbr\u00e4gel","raw_affiliation_strings":["Claude Shannon Institute, School of Mathematical Sciences, University College Dublin, Dublin 4, Ireland","Claude Shannon Institute, School of Mathematical Sciences, University College Dublin, Dublin 4, Ireland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Claude Shannon Institute, School of Mathematical Sciences, University College Dublin, Dublin 4, Ireland","institution_ids":["https://openalex.org/I100930933"]},{"raw_affiliation_string":"Claude Shannon Institute, School of Mathematical Sciences, University College Dublin, Dublin 4, Ireland#TAB#","institution_ids":["https://openalex.org/I100930933"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.8846,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.78380977,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"66","issue":"1-3","first_page":"3","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9986000061035156,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9961000084877014,"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/mathematics","display_name":"Mathematics","score":0.6316043138504028},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.628986656665802},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5874229073524475},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5232750177383423},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.47836726903915405},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4669899344444275},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44709014892578125},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.43963080644607544},{"id":"https://openalex.org/keywords/primitive-root-modulo-n","display_name":"Primitive root modulo n","score":0.4351327419281006},{"id":"https://openalex.org/keywords/minimum-weight","display_name":"Minimum weight","score":0.42872920632362366},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4189279079437256},{"id":"https://openalex.org/keywords/polynomial-code","display_name":"Polynomial code","score":0.415532648563385},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.414157509803772},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.3263745903968811},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.31097427010536194},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23076146841049194},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21274513006210327},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.08287176489830017}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6316043138504028},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.628986656665802},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5874229073524475},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5232750177383423},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47836726903915405},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4669899344444275},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44709014892578125},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.43963080644607544},{"id":"https://openalex.org/C6026789","wikidata":"https://www.wikidata.org/wiki/Q948010","display_name":"Primitive root modulo n","level":3,"score":0.4351327419281006},{"id":"https://openalex.org/C2778945305","wikidata":"https://www.wikidata.org/wiki/Q6865502","display_name":"Minimum weight","level":2,"score":0.42872920632362366},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4189279079437256},{"id":"https://openalex.org/C39635130","wikidata":"https://www.wikidata.org/wiki/Q7226636","display_name":"Polynomial code","level":5,"score":0.415532648563385},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.414157509803772},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.3263745903968811},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.31097427010536194},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23076146841049194},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21274513006210327},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.08287176489830017},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-012-9632-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-012-9632-3","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W191451814","https://openalex.org/W642378450","https://openalex.org/W1537824340","https://openalex.org/W1561016548","https://openalex.org/W1594652978","https://openalex.org/W2101517582","https://openalex.org/W2114080789","https://openalex.org/W2145738710","https://openalex.org/W2211295369","https://openalex.org/W2477276127","https://openalex.org/W2601345000","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2795317947","https://openalex.org/W2964253467","https://openalex.org/W2395078214","https://openalex.org/W2990579644","https://openalex.org/W1507949075","https://openalex.org/W3080457944","https://openalex.org/W3096721566","https://openalex.org/W4287685663","https://openalex.org/W3081816876","https://openalex.org/W2058390474"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}