{"id":"https://openalex.org/W2913206649","doi":"https://doi.org/10.1007/s12095-019-00415-0","title":"On degree-d zero-sum sets of full rank","display_name":"On degree-d zero-sum sets of full rank","publication_year":2019,"publication_date":"2019-11-19","ids":{"openalex":"https://openalex.org/W2913206649","doi":"https://doi.org/10.1007/s12095-019-00415-0","mag":"2913206649"},"language":"en","primary_location":{"id":"doi:10.1007/s12095-019-00415-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12095-019-00415-0","pdf_url":null,"source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography and Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://orbilu.uni.lu/bitstream/10993/41002/1/2018-1194.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037504840","display_name":"Christof Beierle","orcid":"https://orcid.org/0000-0002-5558-0722"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]},{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE","LU"],"is_corresponding":false,"raw_author_name":"Christof Beierle","raw_affiliation_strings":["Ruhr-Universit\u00e4t Bochum, Universit\u00e4tsstra\u00dfe 150, Bochum, D-44801, Germany","SnT, Universit\u00e9 du Luxembourg, Maison du Nombre, 6 Avenue de la Fonte, Esch-sur-Alzette, L-4364, Luxembourg","Ruhr-Universit\u00e4t Bochum, Bochum, Germany","SnT, Universit\u00e9 du Luxembourg, Maison du Nombre, Esch-sur-Alzette, Luxembourg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ruhr-Universit\u00e4t Bochum, Universit\u00e4tsstra\u00dfe 150, Bochum, D-44801, Germany","institution_ids":["https://openalex.org/I904495901"]},{"raw_affiliation_string":"SnT, Universit\u00e9 du Luxembourg, Maison du Nombre, 6 Avenue de la Fonte, Esch-sur-Alzette, L-4364, Luxembourg","institution_ids":["https://openalex.org/I186903577"]},{"raw_affiliation_string":"Ruhr-Universit\u00e4t Bochum, Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]},{"raw_affiliation_string":"SnT, Universit\u00e9 du Luxembourg, Maison du Nombre, Esch-sur-Alzette, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Alex Biryukov","orcid":"https://orcid.org/0000-0001-8318-6274"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":false,"raw_author_name":"Alex Biryukov","raw_affiliation_strings":["SnT and CSC, Universit\u00e9 du Luxembourg, Maison du Nombre, 6 Avenue de la Fonte, Esch-sur-Alzette, L-4364, Luxembourg","SnT and CSC, Universit\u00e9 du Luxembourg, Maison du Nombre, Esch-sur-Alzette, Luxembourg"],"raw_orcid":"https://orcid.org/0000-0001-8318-6274","affiliations":[{"raw_affiliation_string":"SnT and CSC, Universit\u00e9 du Luxembourg, Maison du Nombre, 6 Avenue de la Fonte, Esch-sur-Alzette, L-4364, Luxembourg","institution_ids":["https://openalex.org/I186903577"]},{"raw_affiliation_string":"SnT and CSC, Universit\u00e9 du Luxembourg, Maison du Nombre, Esch-sur-Alzette, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022255409","display_name":"Aleksei Udovenko","orcid":"https://orcid.org/0000-0001-8318-6274"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":false,"raw_author_name":"Aleksei Udovenko","raw_affiliation_strings":["SnT, Universit\u00e9 du Luxembourg, Maison du Nombre, 6 Avenue de la Fonte, Esch-sur-Alzette, L-4364, Luxembourg","SnT, Universit\u00e9 du Luxembourg, Maison du Nombre, Esch-sur-Alzette, Luxembourg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SnT, Universit\u00e9 du Luxembourg, Maison du Nombre, 6 Avenue de la Fonte, Esch-sur-Alzette, L-4364, Luxembourg","institution_ids":["https://openalex.org/I186903577"]},{"raw_affiliation_string":"SnT, Universit\u00e9 du Luxembourg, Maison du Nombre, Esch-sur-Alzette, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00834608,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"4","first_page":"685","last_page":"710"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9984999895095825,"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/T11130","display_name":"Coding theory and cryptography","score":0.9973000288009644,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9729999899864197,"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/degree","display_name":"Degree (music)","score":0.850745439529419},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8105213642120361},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7010988593101501},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6787448525428772},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.6779739260673523},{"id":"https://openalex.org/keywords/annihilator","display_name":"Annihilator","score":0.5356411933898926},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5308395624160767},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5146589875221252},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.5050743222236633},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.1716284155845642},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1603461503982544},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.057281434535980225}],"concepts":[{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.850745439529419},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8105213642120361},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7010988593101501},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6787448525428772},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.6779739260673523},{"id":"https://openalex.org/C147073270","wikidata":"https://www.wikidata.org/wiki/Q567083","display_name":"Annihilator","level":3,"score":0.5356411933898926},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5308395624160767},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5146589875221252},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.5050743222236633},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.1716284155845642},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1603461503982544},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.057281434535980225},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s12095-019-00415-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12095-019-00415-0","pdf_url":null,"source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography and Communications","raw_type":"journal-article"},{"id":"pmh:oai:orbilu.uni.lu:10993/41002","is_oa":true,"landing_page_url":"https://orbilu.uni.lu/handle/10993/41002","pdf_url":"https://orbilu.uni.lu/bitstream/10993/41002/1/2018-1194.pdf","source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Cryptography and Communications, 1-26 (2019-11-19)","raw_type":"http://purl.org/coar/resource_type/c_6501"},{"id":"pmh:oai:orbilu.uni.lu:10993/40729","is_oa":true,"landing_page_url":"https://orbilu.uni.lu/handle/10993/40729","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"http://purl.org/coar/resource_type/c_8042"},{"id":"pmh:oai:orbilu.uni.lu:10993/41002","is_oa":true,"landing_page_url":"http://orbilu.uni.lu/handle/10993/41002","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"mag:2913206649","is_oa":false,"landing_page_url":"http://dblp.uni-trier.de/db/journals/iacr/iacr2018.html#BeierleBU18","pdf_url":null,"source":{"id":"https://openalex.org/S2764847869","display_name":"IACR Cryptology ePrint Archive","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":["https://openalex.org/P4322614454"],"host_organization_lineage_names":["Cryptology ePrint Archive"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"IACR Cryptology ePrint Archive","raw_type":null}],"best_oa_location":{"id":"pmh:oai:orbilu.uni.lu:10993/41002","is_oa":true,"landing_page_url":"https://orbilu.uni.lu/handle/10993/41002","pdf_url":"https://orbilu.uni.lu/bitstream/10993/41002/1/2018-1194.pdf","source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Cryptography and Communications, 1-26 (2019-11-19)","raw_type":"http://purl.org/coar/resource_type/c_6501"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1480541634","display_name":null,"funder_award_id":"9037104","funder_id":"https://openalex.org/F4320321038","funder_display_name":"Fonds National de la Recherche Luxembourg"}],"funders":[{"id":"https://openalex.org/F4320321038","display_name":"Fonds National de la Recherche Luxembourg","ror":"https://ror.org/039z13y21"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2913206649.pdf","grobid_xml":"https://content.openalex.org/works/W2913206649.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W37385681","https://openalex.org/W930621015","https://openalex.org/W1512363553","https://openalex.org/W1521228217","https://openalex.org/W1560088258","https://openalex.org/W1564295073","https://openalex.org/W1572441187","https://openalex.org/W1918243660","https://openalex.org/W1964723977","https://openalex.org/W2034198076","https://openalex.org/W2038242066","https://openalex.org/W2042993834","https://openalex.org/W2057524374","https://openalex.org/W2154271831","https://openalex.org/W2166473670","https://openalex.org/W2293947265","https://openalex.org/W2472524164","https://openalex.org/W2479327246","https://openalex.org/W2549924696","https://openalex.org/W2573158238","https://openalex.org/W2796051658","https://openalex.org/W4249150173"],"related_works":["https://openalex.org/W3101283546","https://openalex.org/W2952429110","https://openalex.org/W2066153629","https://openalex.org/W2964331361","https://openalex.org/W2273973925","https://openalex.org/W2963178059","https://openalex.org/W3098779275","https://openalex.org/W2916106022","https://openalex.org/W2894273223","https://openalex.org/W2497907440","https://openalex.org/W2657332538","https://openalex.org/W2899380702","https://openalex.org/W1507889269","https://openalex.org/W2971201662","https://openalex.org/W2124390076","https://openalex.org/W2775815958","https://openalex.org/W2400772576","https://openalex.org/W2949889462","https://openalex.org/W994668359","https://openalex.org/W2951453618"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-26T07:53:14.480251","created_date":"2025-10-10T00:00:00"}