{"id":"https://openalex.org/W4401692275","doi":"https://doi.org/10.1109/isit57864.2024.10619704","title":"Endomorphisms of Linear Block Codes","display_name":"Endomorphisms of Linear Block Codes","publication_year":2024,"publication_date":"2024-07-07","ids":{"openalex":"https://openalex.org/W4401692275","doi":"https://doi.org/10.1109/isit57864.2024.10619704"},"language":"en","primary_location":{"id":"doi:10.1109/isit57864.2024.10619704","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit57864.2024.10619704","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5059605901","display_name":"Jonathan Mandelbaum","orcid":null},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jonathan Mandelbaum","raw_affiliation_strings":["Karlsruhe Institute of Technology (KIT),Communications Engineering Lab,Karlsruhe,Germany,76131"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Karlsruhe Institute of Technology (KIT),Communications Engineering Lab,Karlsruhe,Germany,76131","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057379445","display_name":"Sisi Miao","orcid":"https://orcid.org/0000-0002-3483-7891"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sisi Miao","raw_affiliation_strings":["Karlsruhe Institute of Technology (KIT),Communications Engineering Lab,Karlsruhe,Germany,76131"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Karlsruhe Institute of Technology (KIT),Communications Engineering Lab,Karlsruhe,Germany,76131","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033104151","display_name":"Holger J\u00e4kel","orcid":null},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Holger Jakel","raw_affiliation_strings":["Karlsruhe Institute of Technology (KIT),Communications Engineering Lab,Karlsruhe,Germany,76131"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Karlsruhe Institute of Technology (KIT),Communications Engineering Lab,Karlsruhe,Germany,76131","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053280913","display_name":"Laurent Schmalen","orcid":"https://orcid.org/0000-0002-1459-9128"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Laurent Schmalen","raw_affiliation_strings":["Karlsruhe Institute of Technology (KIT),Communications Engineering Lab,Karlsruhe,Germany,76131"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Karlsruhe Institute of Technology (KIT),Communications Engineering Lab,Karlsruhe,Germany,76131","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I102335020"],"apc_list":null,"apc_paid":null,"fwci":1.4224,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.83401829,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"699","last_page":"704"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9934999942779541,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9901000261306763,"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/endomorphism","display_name":"Endomorphism","score":0.7946676015853882},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.6238549947738647},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.6011902689933777},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5380871295928955},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.46724534034729004},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35426050424575806},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28495436906814575},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.25836601853370667},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15727874636650085},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.14552021026611328}],"concepts":[{"id":"https://openalex.org/C116858840","wikidata":"https://www.wikidata.org/wiki/Q1340800","display_name":"Endomorphism","level":2,"score":0.7946676015853882},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.6238549947738647},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6011902689933777},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5380871295928955},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.46724534034729004},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35426050424575806},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28495436906814575},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.25836601853370667},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15727874636650085},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.14552021026611328}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit57864.2024.10619704","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit57864.2024.10619704","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8029474762","display_name":null,"funder_award_id":"16KISKO10","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"}],"funders":[{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1536930200","https://openalex.org/W1591839408","https://openalex.org/W1606480398","https://openalex.org/W2005692408","https://openalex.org/W2051270424","https://openalex.org/W2146694142","https://openalex.org/W2150498905","https://openalex.org/W2157720168","https://openalex.org/W2264554231","https://openalex.org/W2591190829","https://openalex.org/W2892198099","https://openalex.org/W2999759127","https://openalex.org/W3184425224","https://openalex.org/W3197313112","https://openalex.org/W4235295349","https://openalex.org/W4285139199","https://openalex.org/W4387485934","https://openalex.org/W4387489989","https://openalex.org/W4388005279"],"related_works":["https://openalex.org/W135568846","https://openalex.org/W2460434904","https://openalex.org/W1789159349","https://openalex.org/W2113911300","https://openalex.org/W2151857680","https://openalex.org/W832867880","https://openalex.org/W2147254059","https://openalex.org/W4386066307","https://openalex.org/W917159298","https://openalex.org/W1975697476"],"abstract_inverted_index":{"The":[0],"automorphism":[1],"groups":[2],"of":[3,33,35,45,48,51,58,66,73,90,93,104,126],"various":[4],"linear":[5,36,98],"codes":[6],"are":[7,157],"extensively":[8],"studied":[9],"yielding":[10],"insights":[11],"into":[12],"the":[13,31,43,46,71,88,102,108,127],"respective":[14],"code":[15,52,59,100,121],"structure.":[16],"This":[17],"knowledge":[18],"is":[19],"used":[20],"in,":[21],"e.g.,":[22],"theoretical":[23],"analysis":[24],"and":[25,61,76,95],"in":[26],"improving":[27],"decoding":[28,133,150,155],"performance,":[29],"motivating":[30],"analyses":[32],"endomorphisms":[34,94,122,140],"codes.":[37],"In":[38],"this":[39],"work,":[40],"we":[41,82,114,130],"discuss":[42],"structure":[44],"set":[47,89],"transformation":[49,91],"matrices":[50,92],"endomor-phisms,":[53],"defined":[54],"as":[55,134],"a":[56,67,84,96,135],"generalization":[57],"automorphisms,":[60],"provide":[62],"an":[63,74,116],"explicit":[64],"construction":[65],"bijective":[68],"mapping":[69,86],"between":[70,87],"image":[72],"endomorphism":[75,143],"its":[77],"canonical":[78],"quotient":[79],"space.":[80],"Furthermore,":[81,129],"introduce":[83],"one-to-one":[85],"larger":[97],"block":[99],"enabling":[101],"use":[103,137],"well-known":[105],"algorithms":[106],"for":[107,110,139],"search":[109],"suitable":[111],"endomorphisms.":[112],"Additionally,":[113],"propose":[115],"approach":[117],"to":[118],"obtain":[119],"unknown":[120],"based":[123],"on":[124],"automorphisms":[125],"code.":[128],"consider":[131],"ensemble":[132,144,154],"possible":[136],"case":[138],"by":[141],"introducing":[142],"decoding.":[145],"Interestingly,":[146],"EED":[147],"can":[148],"improve":[149],"performance":[151],"when":[152],"other":[153],"schemes":[156],"not":[158],"applicable.":[159]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}