{"id":"https://openalex.org/W2519313589","doi":"https://doi.org/10.1109/isit.2016.7541472","title":"Spectral analysis of quasi-cyclic product codes","display_name":"Spectral analysis of quasi-cyclic product codes","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2519313589","doi":"https://doi.org/10.1109/isit.2016.7541472","mag":"2519313589"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2016.7541472","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541472","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","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/A5024013562","display_name":"Alexander Zeh","orcid":"https://orcid.org/0000-0002-5044-4940"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Alexander Zeh","raw_affiliation_strings":["Computer Science Department, Technion-Israel Institute of Technology, Haifa, Israel","Computer Sci. Dept., Technion - Israel Inst. of Tech., Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Computer Sci. Dept., Technion - Israel Inst. of Tech., Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063268716","display_name":"San Ling","orcid":"https://orcid.org/0000-0002-1978-3557"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]},{"id":"https://openalex.org/I4210124601","display_name":"Department of Mathematical Sciences","ror":"https://ror.org/02xkdev90","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210124601"]}],"countries":["RU","SG"],"is_corresponding":false,"raw_author_name":"San Ling","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical &amp; Mathematical Sciences, Nanyang Technological University, Singapore, Republic of Singapore","Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Republic of Singapore"],"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical &amp; Mathematical Sciences, Nanyang Technological University, Singapore, Republic of Singapore","institution_ids":["https://openalex.org/I172675005","https://openalex.org/I4210124601"]},{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Republic of Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024013562"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":0.4443,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.79568187,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1113","last_page":"1117"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9782999753952026,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9778000116348267,"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/cyclic-code","display_name":"Cyclic code","score":0.8726488351821899},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.7114835381507874},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.6282212138175964},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.6059008240699768},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.6048393845558167},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.5401050448417664},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48791810870170593},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.42882102727890015},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36385369300842285},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3554890751838684},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.22742629051208496},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.2146551012992859},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.1020393967628479},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07228651642799377}],"concepts":[{"id":"https://openalex.org/C2096984","wikidata":"https://www.wikidata.org/wiki/Q245464","display_name":"Cyclic code","level":5,"score":0.8726488351821899},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.7114835381507874},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.6282212138175964},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.6059008240699768},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.6048393845558167},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5401050448417664},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48791810870170593},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.42882102727890015},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36385369300842285},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3554890751838684},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.22742629051208496},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2146551012992859},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.1020393967628479},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07228651642799377},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2016.7541472","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541472","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","score":0.4099999964237213,"display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W95004084","https://openalex.org/W1606480398","https://openalex.org/W1969223581","https://openalex.org/W1987064052","https://openalex.org/W1998064108","https://openalex.org/W2002288287","https://openalex.org/W2062642782","https://openalex.org/W2062909403","https://openalex.org/W2083774980","https://openalex.org/W2090721735","https://openalex.org/W2095219683","https://openalex.org/W2105694437","https://openalex.org/W2111162716","https://openalex.org/W2131418871","https://openalex.org/W2138653745","https://openalex.org/W2138736362","https://openalex.org/W2160996071","https://openalex.org/W2962867108","https://openalex.org/W3002761990","https://openalex.org/W3216147140","https://openalex.org/W6630240052","https://openalex.org/W6639189197","https://openalex.org/W6673450011","https://openalex.org/W6804434002"],"related_works":["https://openalex.org/W2962744129","https://openalex.org/W2253768740","https://openalex.org/W3103409964","https://openalex.org/W2153976062","https://openalex.org/W2169117254","https://openalex.org/W2070775339","https://openalex.org/W2019892846","https://openalex.org/W2152669486","https://openalex.org/W2105512769","https://openalex.org/W2138404167","https://openalex.org/W2157171589","https://openalex.org/W3037539340","https://openalex.org/W2979369134","https://openalex.org/W2103398070","https://openalex.org/W1985458810","https://openalex.org/W1426246882","https://openalex.org/W2111721896","https://openalex.org/W2147692972","https://openalex.org/W1760355913","https://openalex.org/W2013886462"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"a":[3,26,45,55],"linear":[4],"quasi-cyclic":[5,11,27,57],"product":[6,28],"code":[7,29],"of":[8,13,25,32,36,54],"two":[9],"given":[10,56],"codes":[12],"relatively":[14],"prime":[15],"lengths":[16],"over":[17],"finite":[18],"fields.":[19],"We":[20],"give":[21],"the":[22,33,37,40,50],"spectral":[23,34],"analysis":[24,35],"in":[30],"terms":[31],"row-":[38],"and":[39],"column-code.":[41],"Moreover,":[42],"we":[43],"provide":[44],"new":[46],"lower":[47],"bound":[48],"on":[49],"minimum":[51],"Hamming":[52],"distance":[53],"code.":[58]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}
