{"id":"https://openalex.org/W2089358876","doi":"https://doi.org/10.1109/isit.2005.1523372","title":"On the spread of random interleavers","display_name":"On the spread of random interleavers","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2089358876","doi":"https://doi.org/10.1109/isit.2005.1523372","mag":"2089358876"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2005.1523372","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2005.1523372","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. International Symposium on Information Theory, 2005. ISIT 2005.","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/cs/0510067","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051046818","display_name":"Arya Mazumdar","orcid":"https://orcid.org/0000-0003-4605-7996"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"A. Mazumdar","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology, Kanpur, India","Dept. of Electr. Eng., Indian Inst. of Technol. Kanpur#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology, Kanpur, India","institution_ids":["https://openalex.org/I94234084"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Indian Inst. of Technol. Kanpur#TAB#","institution_ids":["https://openalex.org/I94234084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029924040","display_name":"Adrish Banerjee","orcid":"https://orcid.org/0000-0001-6646-8464"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"A. Banerjee","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology, Kanpur, India","Dept. of Electr. Eng., Indian Inst. of Technol. Kanpur#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology, Kanpur, India","institution_ids":["https://openalex.org/I94234084"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Indian Inst. of Technol. Kanpur#TAB#","institution_ids":["https://openalex.org/I94234084"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088125758","display_name":"A. K. Chaturvedi","orcid":"https://orcid.org/0000-0002-8253-852X"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"A.K. Chaturvedi","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology, Kanpur, India","Dept. of Electr. Eng., Indian Inst. of Technol. Kanpur#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology, Kanpur, India","institution_ids":["https://openalex.org/I94234084"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Indian Inst. of Technol. Kanpur#TAB#","institution_ids":["https://openalex.org/I94234084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5051046818"],"corresponding_institution_ids":["https://openalex.org/I94234084"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16484204,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"439","last_page":"443"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9994999766349792,"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9991000294685364,"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/value","display_name":"Value (mathematics)","score":0.7159098982810974},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6100342869758606},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46811288595199585},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4679144024848938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4220881760120392},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4175903797149658},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4000970721244812},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.34530359506607056},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10246112942695618}],"concepts":[{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.7159098982810974},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6100342869758606},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46811288595199585},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4679144024848938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4220881760120392},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4175903797149658},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4000970721244812},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.34530359506607056},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10246112942695618}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2005.1523372","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2005.1523372","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. International Symposium on Information Theory, 2005. ISIT 2005.","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:cs/0510067","is_oa":true,"landing_page_url":"http://arxiv.org/abs/cs/0510067","pdf_url":"https://arxiv.org/pdf/cs/0510067","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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:CiteSeerX.psu:10.1.1.342.2251","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.342.2251","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/cs/0510067v1.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:cs/0510067","is_oa":true,"landing_page_url":"http://arxiv.org/abs/cs/0510067","pdf_url":"https://arxiv.org/pdf/cs/0510067","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W101564851","https://openalex.org/W2078837338","https://openalex.org/W2107488073","https://openalex.org/W2113247483","https://openalex.org/W2120289836","https://openalex.org/W2121606987","https://openalex.org/W2143503202","https://openalex.org/W2160668024","https://openalex.org/W2987657883","https://openalex.org/W3152750074","https://openalex.org/W4298159955","https://openalex.org/W6604195864","https://openalex.org/W6843649443"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W1976691234","https://openalex.org/W3212023493","https://openalex.org/W1922851888","https://openalex.org/W2090715877"],"abstract_inverted_index":{"For":[0],"a":[1,24,58],"given":[2],"blocklength":[3,35,89],"we":[4,18,56],"determine":[5,57],"the":[6,21,45,62,80,88],"number":[7],"of":[8,64],"interleavers":[9],"which":[10],"have":[11],"spread":[12,29,68],"equal":[13],"to":[14,44,79],"two.":[15,30],"Using":[16],"this,":[17],"find":[19],"out":[20],"probability":[22,38,63],"that":[23,33,74],"randomly":[25],"chosen":[26],"interleaver":[27,66],"has":[28],"We":[31,72],"show":[32,73],"as":[34,87],"increases,":[36],"this":[37,75],"increases":[39,90],"but":[40],"very":[41],"quickly":[42],"converges":[43,78],"value":[46,81],"1":[47],"-":[48],"e":[49,82],"<sup":[50,83],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[51,84],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">-2</sup>":[52],"ap":[53],"0.8647.":[54],"Subsequently,":[55],"lower":[59,76],"bound":[60,77],"on":[61],"an":[65],"having":[67],"at":[69],"least":[70],"s.":[71],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">-2(s-2)2</sup>":[85],",":[86]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}