{"id":"https://openalex.org/W2785005583","doi":"https://doi.org/10.1109/isit.2018.8437923","title":"Structural Properties of Twisted Reed-Solomon Codes with Applications to Cryptography","display_name":"Structural Properties of Twisted Reed-Solomon Codes with Applications to Cryptography","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2785005583","doi":"https://doi.org/10.1109/isit.2018.8437923","mag":"2785005583"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2018.8437923","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2018.8437923","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1801.07003","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017069208","display_name":"Peter Beelen","orcid":"https://orcid.org/0000-0003-1218-2422"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Peter Beelen","raw_affiliation_strings":["Department of Applied Mathematics &#x0026; Computer Science, Technical University of Denmark, Lyngby, Denmark","Department of Applied Mathematics and Computer Science, Technical University of Denmark,. Lyngby, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics &#x0026; Computer Science, Technical University of Denmark, Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark,. Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045353828","display_name":"Martin Bossert","orcid":"https://orcid.org/0000-0002-3827-9065"},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Bossert","raw_affiliation_strings":["Institute of Communications Engineering, Ulm University, Ulm, Germany","Institute of Communications Engineering, Ulm University, Ulm, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Communications Engineering, Ulm University, Ulm, Germany","institution_ids":["https://openalex.org/I196349391"]},{"raw_affiliation_string":"Institute of Communications Engineering, Ulm University, Ulm, Germany#TAB#","institution_ids":["https://openalex.org/I196349391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009036826","display_name":"Sven Puchinger","orcid":"https://orcid.org/0000-0002-7474-2678"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sven Puchinger","raw_affiliation_strings":["Institute for Communications Engineering, Technical University of Munich (TUM), Munich, Germany","[Institute for Communications Engineering, Technical University of Munich (TUM), Munich, Germany]"],"affiliations":[{"raw_affiliation_string":"Institute for Communications Engineering, Technical University of Munich (TUM), Munich, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"[Institute for Communications Engineering, Technical University of Munich (TUM), Munich, Germany]","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042242064","display_name":"Johan Rosenkilde","orcid":"https://orcid.org/0000-0002-3540-0456"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Johan Rosenkilde","raw_affiliation_strings":["Department of Applied Mathematics &#x0026; Computer Science, Technical University of Denmark, Lyngby, Denmark","Department of Applied Mathematics and Computer Science, Technical University of Denmark,. Lyngby, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics &#x0026; Computer Science, Technical University of Denmark, Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark,. Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5017069208"],"corresponding_institution_ids":["https://openalex.org/I96673099"],"apc_list":null,"apc_paid":null,"fwci":0.3375,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66567477,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"946","last_page":"950"},"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":0.9959999918937683,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9904000163078308,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/generator-matrix","display_name":"Generator matrix","score":0.7824863791465759},{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.6875908374786377},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5623621344566345},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5497449636459351},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5276644825935364},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5038284659385681},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.49445462226867676},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.47233930230140686},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.46249914169311523},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4424009919166565},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.378702312707901},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35917359590530396},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34715837240219116},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.33454635739326477},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2568165063858032},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20809751749038696},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09039819240570068},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.05977833271026611}],"concepts":[{"id":"https://openalex.org/C1842014","wikidata":"https://www.wikidata.org/wiki/Q1502046","display_name":"Generator matrix","level":3,"score":0.7824863791465759},{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.6875908374786377},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5623621344566345},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5497449636459351},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5276644825935364},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5038284659385681},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.49445462226867676},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.47233930230140686},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.46249914169311523},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4424009919166565},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.378702312707901},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35917359590530396},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34715837240219116},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.33454635739326477},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2568165063858032},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20809751749038696},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09039819240570068},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.05977833271026611},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/isit.2018.8437923","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2018.8437923","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1801.07003","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1801.07003","pdf_url":"https://arxiv.org/pdf/1801.07003","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"},{"id":"mag:2785005583","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1801.07003","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:pure.atira.dk:publications/be1768d2-3062-49e5-b540-598272d57a53","is_oa":false,"landing_page_url":"https://orbit.dtu.dk/en/publications/be1768d2-3062-49e5-b540-598272d57a53","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Beelen , P , Bossert , M , Puchinger , S &amp; Rosenkilde , J S H 2018 , Structural Properties of Twisted Reed-Solomon Codes with Applications to Cryptography . in Proceedings of 2018 IEEE International Symposium on Information Theory . IEEE , pp. 946-950 , 2018 IEEE International Symposium on Information Theory , Vail , Colorado , United States , 17/06/2018 . https://doi.org/10.1109/ISIT.2018.8437923","raw_type":"contributionToPeriodical"},{"id":"doi:10.48550/arxiv.1801.07003","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1801.07003","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1801.07003","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1801.07003","pdf_url":"https://arxiv.org/pdf/1801.07003","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2785005583.pdf","grobid_xml":"https://content.openalex.org/works/W2785005583.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1488034582","https://openalex.org/W1508253193","https://openalex.org/W1534643746","https://openalex.org/W1966214710","https://openalex.org/W1984748596","https://openalex.org/W1990361074","https://openalex.org/W2032431003","https://openalex.org/W2050635493","https://openalex.org/W2058838206","https://openalex.org/W2095026990","https://openalex.org/W2102589612","https://openalex.org/W2103398070","https://openalex.org/W2108277687","https://openalex.org/W2111444563","https://openalex.org/W2132642507","https://openalex.org/W2142293082","https://openalex.org/W2397857137","https://openalex.org/W2576159841","https://openalex.org/W2616894182","https://openalex.org/W2986959318","https://openalex.org/W3036471979","https://openalex.org/W6646749076","https://openalex.org/W6719306674","https://openalex.org/W6743876972","https://openalex.org/W6770380337"],"related_works":["https://openalex.org/W2949741717","https://openalex.org/W3021758908","https://openalex.org/W2130459164","https://openalex.org/W2196407455","https://openalex.org/W2169538721","https://openalex.org/W1894898709","https://openalex.org/W3204718066","https://openalex.org/W2593067933","https://openalex.org/W2111829636","https://openalex.org/W3011493256","https://openalex.org/W3000318611","https://openalex.org/W3104417989","https://openalex.org/W2170542295","https://openalex.org/W3140261953","https://openalex.org/W2971710266","https://openalex.org/W2998938902","https://openalex.org/W2555786829","https://openalex.org/W3136348518","https://openalex.org/W3042543385","https://openalex.org/W1984205450"],"abstract_inverted_index":{"We":[0,16],"present":[1],"a":[2,9,23,56],"generalisation":[3],"of":[4,13,37,58],"Twisted":[5],"Reed-Solomon":[6],"codes":[7,40,61,70],"containing":[8],"new":[10,39,60],"large":[11,24],"class":[12,21],"MDS":[14],"codes.":[15],"prove":[17],"that":[18,26,43],"the":[19,34,38,59,83],"code":[20,84],"contains":[22],"subfamily":[25,57],"is":[27,46],"closed":[28],"under":[29],"duality.":[30],"Furthermore,":[31],"we":[32,53],"study":[33],"Schur":[35],"squares":[36],"and":[41],"show":[42],"their":[44],"dimension":[45],"often":[47],"large.":[48],"Using":[49],"these":[50],"structural":[51,74],"properties,":[52],"single":[54],"out":[55],"which":[62],"could":[63],"be":[64],"considered":[65],"for":[66,76,81],"code-based":[67],"cryptography:":[68],"These":[69],"resist":[71],"some":[72],"existing":[73],"attacks":[75],"Reed-Solomon-like":[77],"codes,":[78],"i.e.":[79],"methods":[80],"retrieving":[82],"parameters":[85],"from":[86],"an":[87],"obfuscated":[88],"generator":[89],"matrix.":[90]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
