{"id":"https://openalex.org/W1652910739","doi":"https://doi.org/10.1109/isit.2015.7282888","title":"On the maximum true burst correcting capability of primitive Fire codes","display_name":"On the maximum true burst correcting capability of primitive Fire codes","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1652910739","doi":"https://doi.org/10.1109/isit.2015.7282888","mag":"1652910739"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2015.7282888","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282888","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 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/A5101665889","display_name":"Wei Zhou","orcid":"https://orcid.org/0000-0003-4615-1026"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Wei Zhou","raw_affiliation_strings":["University of California Davis, CA, USA","University of California, Davis, CA 95616, USA"],"affiliations":[{"raw_affiliation_string":"University of California Davis, CA, USA","institution_ids":["https://openalex.org/I84218800"]},{"raw_affiliation_string":"University of California, Davis, CA 95616, USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100772114","display_name":"Shu Lin","orcid":"https://orcid.org/0000-0003-1401-7834"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shu Lin","raw_affiliation_strings":["University of California Davis, CA, USA","University of California, Davis, CA 95616, USA"],"affiliations":[{"raw_affiliation_string":"University of California Davis, CA, USA","institution_ids":["https://openalex.org/I84218800"]},{"raw_affiliation_string":"University of California, Davis, CA 95616, USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102938606","display_name":"Khaled Abdel-Ghaffar","orcid":"https://orcid.org/0000-0002-3128-0557"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Khaled Abdel-Ghaffar","raw_affiliation_strings":["University of California Davis, CA, USA","University of California, Davis, CA 95616, USA"],"affiliations":[{"raw_affiliation_string":"University of California Davis, CA, USA","institution_ids":["https://openalex.org/I84218800"]},{"raw_affiliation_string":"University of California, Davis, CA 95616, USA","institution_ids":["https://openalex.org/I84218800"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101665889"],"corresponding_institution_ids":["https://openalex.org/I84218800"],"apc_list":null,"apc_paid":null,"fwci":0.4314,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.75176662,"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":"2411","last_page":"2415"},"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9991000294685364,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9952999949455261,"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/polynomial-code","display_name":"Polynomial code","score":0.6536370515823364},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5089378356933594},{"id":"https://openalex.org/keywords/binomial","display_name":"Binomial (polynomial)","score":0.48932427167892456},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45318955183029175},{"id":"https://openalex.org/keywords/divisor","display_name":"Divisor (algebraic geometry)","score":0.44891270995140076},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4464079737663269},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4424511194229126},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.43219584226608276},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.3141220808029175},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29922276735305786},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.27782589197158813},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.08776763081550598},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0663185715675354}],"concepts":[{"id":"https://openalex.org/C39635130","wikidata":"https://www.wikidata.org/wiki/Q7226636","display_name":"Polynomial code","level":5,"score":0.6536370515823364},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5089378356933594},{"id":"https://openalex.org/C2781315470","wikidata":"https://www.wikidata.org/wiki/Q193623","display_name":"Binomial (polynomial)","level":2,"score":0.48932427167892456},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45318955183029175},{"id":"https://openalex.org/C203492994","wikidata":"https://www.wikidata.org/wiki/Q909669","display_name":"Divisor (algebraic geometry)","level":2,"score":0.44891270995140076},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4464079737663269},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4424511194229126},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43219584226608276},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.3141220808029175},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29922276735305786},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.27782589197158813},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.08776763081550598},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0663185715675354},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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.2015.7282888","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282888","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320308204","display_name":"Northrop Grumman","ror":"https://ror.org/05kewds18"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1541795511","https://openalex.org/W1651818244","https://openalex.org/W2068003275","https://openalex.org/W2098724395","https://openalex.org/W2150555400","https://openalex.org/W2171245345"],"related_works":["https://openalex.org/W3112668628","https://openalex.org/W197575802","https://openalex.org/W2145107920","https://openalex.org/W1988834550","https://openalex.org/W3042543385","https://openalex.org/W4214485061","https://openalex.org/W2111330432","https://openalex.org/W4237217078","https://openalex.org/W2771127828","https://openalex.org/W2074539348"],"abstract_inverted_index":{"Fire":[0,39,55,77],"codes":[1,4,78],"are":[2],"cyclic":[3],"generated":[5],"by":[6,113],"the":[7,16,28,32,59,68,93,96],"product":[8],"of":[9,37,53,92,95,99,117],"two":[10,97],"polynomials:":[11],"a":[12,38,80,87],"binomial":[13],"that":[14,26,108],"characterizes":[15,27],"code's":[17],"guaranteed":[18,44,82],"burst":[19,34,45,50,70,83],"correcting":[20,35,46,51,71,84],"capability":[21,36,52,72,85],"and":[22,86],"an":[23,114],"irreducible":[24,60],"polynomial":[25,61,102],"code":[29,40],"length.":[30],"However,":[31],"true":[33,49,69],"may":[41],"exceed":[42],"its":[43,100],"capability.":[47],"The":[48],"primitive":[54,76],"codes,":[56],"in":[57],"which":[58],"is":[62,64,103,106,111],"primitive,":[63],"studied.":[65],"In":[66],"particular,":[67],"maximized":[73],"over":[74],"all":[75],"with":[79],"given":[81,88],"greatest":[89],"common":[90],"divisor":[91],"periods":[94],"factors":[98],"generator":[101],"considered.":[104],"It":[105],"shown":[107],"this":[109],"maximum":[110],"attained":[112],"infinite":[115],"number":[116],"such":[118],"codes.":[119]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
