{"id":"https://openalex.org/W2266541878","doi":"https://doi.org/10.1186/s13638-016-0526-3","title":"An association between primitive and non-primitive BCH codes using monoid rings","display_name":"An association between primitive and non-primitive BCH codes using monoid rings","publication_year":2016,"publication_date":"2016-02-04","ids":{"openalex":"https://openalex.org/W2266541878","doi":"https://doi.org/10.1186/s13638-016-0526-3","mag":"2266541878"},"language":"en","primary_location":{"id":"doi:10.1186/s13638-016-0526-3","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13638-016-0526-3","pdf_url":"https://jwcn-eurasipjournals.springeropen.com/track/pdf/10.1186/s13638-016-0526-3","source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://jwcn-eurasipjournals.springeropen.com/track/pdf/10.1186/s13638-016-0526-3","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023445613","display_name":"Asma Shaheen Ansari","orcid":null},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Asma Shaheen Ansari","raw_affiliation_strings":["Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101808848","display_name":"Tariq Shah","orcid":"https://orcid.org/0009-0000-7903-0701"},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Tariq Shah","raw_affiliation_strings":["Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023445613"],"corresponding_institution_ids":["https://openalex.org/I12469534"],"apc_list":{"value":1140,"currency":"GBP","value_usd":1398},"apc_paid":{"value":1140,"currency":"GBP","value_usd":1398},"fwci":1.2854,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.86118003,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2016","issue":"1","first_page":null,"last_page":null},"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":0.9776999950408936,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9652000069618225,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bch-code","display_name":"BCH code","score":0.97581946849823},{"id":"https://openalex.org/keywords/polynomial-code","display_name":"Polynomial code","score":0.6513169407844543},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5454360842704773},{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.5296202301979065},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5282377600669861},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5042375326156616},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4705546200275421},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4496883451938629},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44812247157096863},{"id":"https://openalex.org/keywords/code-rate","display_name":"Code rate","score":0.41784900426864624},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3991653323173523},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.3127128481864929},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.2835316061973572},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2589733600616455},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.12813854217529297}],"concepts":[{"id":"https://openalex.org/C42276685","wikidata":"https://www.wikidata.org/wiki/Q795705","display_name":"BCH code","level":3,"score":0.97581946849823},{"id":"https://openalex.org/C39635130","wikidata":"https://www.wikidata.org/wiki/Q7226636","display_name":"Polynomial code","level":5,"score":0.6513169407844543},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5454360842704773},{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.5296202301979065},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5282377600669861},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5042375326156616},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4705546200275421},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4496883451938629},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44812247157096863},{"id":"https://openalex.org/C206468330","wikidata":"https://www.wikidata.org/wiki/Q834373","display_name":"Code rate","level":3,"score":0.41784900426864624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3991653323173523},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.3127128481864929},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2835316061973572},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2589733600616455},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.12813854217529297},{"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/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:10.1186/s13638-016-0526-3","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13638-016-0526-3","pdf_url":"https://jwcn-eurasipjournals.springeropen.com/track/pdf/10.1186/s13638-016-0526-3","source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1186/s13638-016-0526-3","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13638-016-0526-3","pdf_url":"https://jwcn-eurasipjournals.springeropen.com/track/pdf/10.1186/s13638-016-0526-3","source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2266541878.pdf","grobid_xml":"https://content.openalex.org/works/W2266541878.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W11677679","https://openalex.org/W608623117","https://openalex.org/W1494427705","https://openalex.org/W1509823465","https://openalex.org/W1595920048","https://openalex.org/W1691084778","https://openalex.org/W1860025141","https://openalex.org/W2012698420","https://openalex.org/W2017758698","https://openalex.org/W2035116524","https://openalex.org/W2041046759","https://openalex.org/W2046405103","https://openalex.org/W2064759901","https://openalex.org/W2073320115","https://openalex.org/W2081884887","https://openalex.org/W2116509046","https://openalex.org/W2130212771","https://openalex.org/W2140322234","https://openalex.org/W2144253890","https://openalex.org/W3082788712","https://openalex.org/W4234345682","https://openalex.org/W4301874181"],"related_works":["https://openalex.org/W153838523","https://openalex.org/W1497538254","https://openalex.org/W2092009244","https://openalex.org/W2556419737","https://openalex.org/W2054840915","https://openalex.org/W1877062750","https://openalex.org/W2484855765","https://openalex.org/W4319430489","https://openalex.org/W2293846540","https://openalex.org/W2570870474"],"abstract_inverted_index":{"BCH":[0,20,44,58,76,129,140],"codes":[1,11,21,104],"are":[2],"one":[3],"of":[4,9,26,40,48,65,73,102],"the":[5,31,38,71,74,86,93,103,139,155],"most":[6],"important":[7],"classes":[8],"cyclic":[10],"for":[12,69],"error":[13,135],"correction.":[14],"In":[15],"this":[16],"study,":[17],"we":[18],"generalize":[19],"using":[22],"monoid":[23],"rings":[24],"instead":[25],"a":[27,41,53],"polynomial":[28],"ring":[29],"over":[30],"binary":[32,43,57],"field":[33],"F":[34],"2.":[35],"We":[36],"show":[37],"existence":[39,72],"non-primitive":[42,75],"code":[45,59,77,87,94,130,141,146],"C":[46,60,78,88,95,105,108,118,125,131,142],"bn":[47,79,96,109,126,132],"length":[49,55],"bn,":[50],"corresponding":[51],"to":[52],"given":[54],"n":[56,61,89,106,119,143],".":[62,97,127],"The":[63,114,128],"value":[64],"b":[66],"is":[67,80,83,90],"investigated":[68],"which":[70],"assured.":[81],"It":[82],"noticed":[84],"that":[85],"embedded":[91],"in":[92],"Therefore,":[98],"encoding":[99],"and":[100,107],"decoding":[101],"can":[110,120,151],"be":[111,122,152],"done":[112],"simultaneously.":[113],"data":[115],"transmitted":[116,123],"by":[117,124],"also":[121],"has":[133,144],"better":[134,145],"correction":[136],"capability":[137],"whereas":[138],"rate,":[147],"hence":[148],"both":[149],"gains":[150],"achieved":[153],"at":[154],"same":[156],"time.":[157]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
