{"id":"https://openalex.org/W1997890695","doi":"https://doi.org/10.1109/isit.2014.6875250","title":"Shifted inverse determinant sums and new bounds for the DMT of space-time lattice codes","display_name":"Shifted inverse determinant sums and new bounds for the DMT of space-time lattice codes","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W1997890695","doi":"https://doi.org/10.1109/isit.2014.6875250","mag":"1997890695"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2014.6875250","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6875250","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1408.1506","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Roope Vehkalahti","orcid":null},"institutions":[{"id":"https://openalex.org/I155660961","display_name":"University of Turku","ror":"https://ror.org/05vghhr25","country_code":"FI","type":"education","lineage":["https://openalex.org/I155660961"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Roope Vehkalahti","raw_affiliation_strings":["Department of mathematics and statistics, University of Turku, Finland"],"affiliations":[{"raw_affiliation_string":"Department of mathematics and statistics, University of Turku, Finland","institution_ids":["https://openalex.org/I155660961"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Laura Luzzi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210142324","display_name":"CY Cergy Paris Universit\u00e9","ror":"https://ror.org/043htjv09","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142324"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I86175216","display_name":"\u00c9cole Nationale Sup\u00e9rieure de l'\u00c9lectronique et de ses Applications","ror":"https://ror.org/03qeacd72","country_code":"FR","type":"education","lineage":["https://openalex.org/I86175216"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laura Luzzi","raw_affiliation_strings":["Laboratoire ETIS, CNRS - ENSEA - UCP, Cergy-Pontoise, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire ETIS, CNRS - ENSEA - UCP, Cergy-Pontoise, France","institution_ids":["https://openalex.org/I86175216","https://openalex.org/I4210142324","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":null,"display_name":"Jean-Claude Belfiore","orcid":null},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Claude Belfiore","raw_affiliation_strings":["Dept of Communications and Electronics Telecom ParisTech, Paris, France"],"affiliations":[{"raw_affiliation_string":"Dept of Communications and Electronics Telecom ParisTech, Paris, France","institution_ids":["https://openalex.org/I12356871"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I155660961"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10002304,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":null,"first_page":"2331","last_page":"2335"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998000264167786,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998000264167786,"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":0.9997000098228455,"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":0.9994000196456909,"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/lattice","display_name":"Lattice (music)","score":0.6510999798774719},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6363000273704529},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5530999898910522},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5087000131607056},{"id":"https://openalex.org/keywords/pairwise-error-probability","display_name":"Pairwise error probability","score":0.49129998683929443},{"id":"https://openalex.org/keywords/probability-of-error","display_name":"Probability of error","score":0.4699000120162964},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4672999978065491},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.44279998540878296}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.75},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6510999798774719},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6363000273704529},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5530999898910522},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5087000131607056},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5012999773025513},{"id":"https://openalex.org/C2780839233","wikidata":"https://www.wikidata.org/wiki/Q16000284","display_name":"Pairwise error probability","level":4,"score":0.49129998683929443},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.4699000120162964},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4672999978065491},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.44279998540878296},{"id":"https://openalex.org/C19275194","wikidata":"https://www.wikidata.org/wiki/Q222903","display_name":"Multiplexing","level":2,"score":0.4408000111579895},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.4311000108718872},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4133000075817108},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.38269999623298645},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.33390000462532043},{"id":"https://openalex.org/C2989065042","wikidata":"https://www.wikidata.org/wiki/Q7378971","display_name":"Algebraic properties","level":2,"score":0.3027999997138977},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.30140000581741333},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.2718000113964081},{"id":"https://openalex.org/C157351203","wikidata":"https://www.wikidata.org/wiki/Q216906","display_name":"Multiplicative inverse","level":3,"score":0.2549999952316284},{"id":"https://openalex.org/C185837786","wikidata":"https://www.wikidata.org/wiki/Q1782940","display_name":"Constellation diagram","level":4,"score":0.25130000710487366}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2014.6875250","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6875250","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1408.1506","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1408.1506","pdf_url":"https://arxiv.org/pdf/1408.1506","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":"pmh:oai:HAL:hal-01420966v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01420966","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"IEEE International Symposium on Information Theory, Jul 2014, Honolulu, HI, United States. pp.2331 - 2335, &#x27E8;10.1109/ISIT.2014.6875250&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1408.1506","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1408.1506","pdf_url":"https://arxiv.org/pdf/1408.1506","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":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2016084247","https://openalex.org/W2060644465","https://openalex.org/W2069530276","https://openalex.org/W2118040894","https://openalex.org/W2129766733","https://openalex.org/W2130581765","https://openalex.org/W2144421688","https://openalex.org/W2963685658"],"related_works":[],"abstract_inverted_index":{"This":[0,63],"paper":[1],"considers":[2],"shifted":[3,76,95],"inverse":[4,47],"determinant":[5,48],"sums":[6,36,49,77,96],"arising":[7],"from":[8],"the":[9,13,32,46,57,72,75,91,94,107,126],"union":[10],"bound":[11],"of":[12,34,45,53,74,93,101],"pairwise":[14],"error":[15],"probability":[16],"for":[17,37,56,71,78],"space-time":[18,61],"codes":[19],"in":[20],"multiple-antenna":[21],"fading":[22],"channels.":[23],"Previous":[24],"work":[25,64],"by":[26],"Vehkalahti":[27],"et":[28],"al.":[29],"focused":[30],"on":[31],"approximation":[33],"these":[35,121],"low":[38],"multiplexing":[39,80],"gains,":[40],"providing":[41],"a":[42,51,68,102],"complete":[43],"classification":[44],"as":[50,106],"function":[52],"constellation":[54],"size":[55],"most":[58],"well-known":[59],"algebraic":[60],"codes.":[62],"aims":[65],"at":[66],"building":[67],"general":[69],"framework":[70],"study":[73],"all":[79],"gains.":[81,134],"New":[82],"bounds":[83,122],"obtained":[84],"using":[85],"dyadic":[86],"summing":[87],"techniques":[88],"suggest":[89],"that":[90],"behavior":[92],"does":[97],"characterize":[98,125],"many":[99],"properties":[100],"lattice":[103,117],"code":[104],"such":[105],"diversity-multiplexing":[108],"gain":[109],"trade-off,":[110],"both":[111],"under":[112],"maximum-likelihood":[113],"decoding":[114],"and":[115],"infinite":[116],"naive":[118],"decoding.":[119],"Moreover,":[120],"allow":[123],"to":[124,131],"signal-to-noise":[127],"ratio":[128],"thresholds":[129],"corresponding":[130],"different":[132],"diversity":[133]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}
