{"id":"https://openalex.org/W1538894044","doi":"https://doi.org/10.1109/isit.2004.1365104","title":"Lower bounds on the minimum pseudo-weight of linear codes","display_name":"Lower bounds on the minimum pseudo-weight of linear codes","publication_year":2004,"publication_date":"2004-12-23","ids":{"openalex":"https://openalex.org/W1538894044","doi":"https://doi.org/10.1109/isit.2004.1365104","mag":"1538894044"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2004.1365104","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365104","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","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/A5028154201","display_name":"Pascal O. Vontobel","orcid":"https://orcid.org/0000-0002-6180-258X"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"P.O. Vontobel","raw_affiliation_strings":["Coordinated Science Laboratory and Department of ECE, University of Illinois, Urbana-Champaign, USA","Dept. of Electr. & Comput. Eng., Illinois Univ., Champaign, IL, USA"],"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory and Department of ECE, University of Illinois, Urbana-Champaign, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Illinois Univ., Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000238160","display_name":"R. Koetter","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Koetter","raw_affiliation_strings":["Coordinated Science Laboratory and Department of ECE, University of Illinois, Urbana-Champaign, USA","Dept. of Electr. & Comput. Eng., Illinois Univ., Champaign, IL, USA"],"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory and Department of ECE, University of Illinois, Urbana-Champaign, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Illinois Univ., Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5028154201"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":7.9772,"has_fulltext":false,"cited_by_count":65,"citation_normalized_percentile":{"value":0.97472253,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9993000030517578,"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":0.9991999864578247,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6460243463516235},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.584604024887085},{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.5684604644775391},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.562548041343689},{"id":"https://openalex.org/keywords/parity-check-matrix","display_name":"Parity-check matrix","score":0.5581040382385254},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.526397705078125},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5062874555587769},{"id":"https://openalex.org/keywords/minimum-weight","display_name":"Minimum weight","score":0.5035693049430847},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4492361843585968},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.44408702850341797},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.4373968243598938},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4283978044986725},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4279627799987793},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.3429703116416931},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3410113453865051},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.19565469026565552},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17394939064979553},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.09284105896949768},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06390723586082458}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6460243463516235},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.584604024887085},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.5684604644775391},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.562548041343689},{"id":"https://openalex.org/C95925971","wikidata":"https://www.wikidata.org/wiki/Q3100414","display_name":"Parity-check matrix","level":4,"score":0.5581040382385254},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.526397705078125},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5062874555587769},{"id":"https://openalex.org/C2778945305","wikidata":"https://www.wikidata.org/wiki/Q6865502","display_name":"Minimum weight","level":2,"score":0.5035693049430847},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4492361843585968},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.44408702850341797},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.4373968243598938},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4283978044986725},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4279627799987793},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.3429703116416931},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3410113453865051},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.19565469026565552},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17394939064979553},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.09284105896949768},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06390723586082458},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2004.1365104","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365104","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.3.2261","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.3.2261","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.comm.csl.uiuc.edu/~koetter/publications/vontobel_koetter_isit2004_final1.pdf","raw_type":"text"}],"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/W7241855","https://openalex.org/W1580362924","https://openalex.org/W2033546746","https://openalex.org/W2035929826","https://openalex.org/W2098652101","https://openalex.org/W2099940667","https://openalex.org/W2111319461","https://openalex.org/W2133318815","https://openalex.org/W2145409594","https://openalex.org/W2149231487","https://openalex.org/W6600302457","https://openalex.org/W6658471458"],"related_works":["https://openalex.org/W2537963609","https://openalex.org/W2092857423","https://openalex.org/W2361792238","https://openalex.org/W135568846","https://openalex.org/W2182725540","https://openalex.org/W3126598192","https://openalex.org/W2122913048","https://openalex.org/W2460434904","https://openalex.org/W2954849755","https://openalex.org/W2540115800"],"abstract_inverted_index":{"This":[0],"paper":[1],"discusses":[2],"the":[3,11,20,26,36,42,48],"two":[4],"techniques":[5],"for":[6],"obtaining":[7],"lower":[8],"bounds":[9],"on":[10,25],"(AWGN":[12],"channel)":[13],"pseudo-weight":[14],"of":[15,31,39],"binary":[16],"linear":[17,52],"codes.":[18],"Whereas":[19],"first":[21],"bound":[22,44],"is":[23,45],"based":[24],"largest":[27],"and":[28],"second-largest":[29],"eigenvalues":[30],"a":[32,40,51],"matrix":[33,38],"associated":[34],"with":[35],"parity-check":[37],"code,":[41],"second":[43],"given":[46],"by":[47],"solution":[49],"to":[50],"program.":[53]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}