{"id":"https://openalex.org/W1975709480","doi":"https://doi.org/10.1007/s10623-012-9626-1","title":"Simple algorithms for decoding systematic Reed\u2013Solomon codes","display_name":"Simple algorithms for decoding systematic Reed\u2013Solomon codes","publication_year":2012,"publication_date":"2012-07-17","ids":{"openalex":"https://openalex.org/W1975709480","doi":"https://doi.org/10.1007/s10623-012-9626-1","mag":"1975709480"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-012-9626-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-012-9626-1","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-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/A5043724551","display_name":"Todd Mateer","orcid":null},"institutions":[{"id":"https://openalex.org/I84707247","display_name":"Howard Community College","ror":"https://ror.org/02bzq7389","country_code":"US","type":"education","lineage":["https://openalex.org/I84707247"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Todd D. Mateer","raw_affiliation_strings":["Mathematics Division, Howard Community College, 10901 Little Patuxent Parkway, Columbia, MD, 21044, USA","Howard Community College"],"affiliations":[{"raw_affiliation_string":"Mathematics Division, Howard Community College, 10901 Little Patuxent Parkway, Columbia, MD, 21044, USA","institution_ids":["https://openalex.org/I84707247"]},{"raw_affiliation_string":"Howard Community College","institution_ids":["https://openalex.org/I84707247"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043724551"],"corresponding_institution_ids":["https://openalex.org/I84707247"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.07293256,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"69","issue":"1","first_page":"107","last_page":"121"},"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":0.9980000257492065,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9926999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.908779501914978},{"id":"https://openalex.org/keywords/decodes","display_name":"Decodes","score":0.8272754549980164},{"id":"https://openalex.org/keywords/berlekamp\u2013welch-algorithm","display_name":"Berlekamp\u2013Welch algorithm","score":0.7847340106964111},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.7279529571533203},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.6713451147079468},{"id":"https://openalex.org/keywords/sequential-decoding","display_name":"Sequential decoding","score":0.6441321969032288},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6395058631896973},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5715125203132629},{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.521812915802002},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4775044322013855},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4176047444343567},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.3529295325279236},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.32009610533714294},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.27354711294174194}],"concepts":[{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.908779501914978},{"id":"https://openalex.org/C2778858076","wikidata":"https://www.wikidata.org/wiki/Q5249539","display_name":"Decodes","level":3,"score":0.8272754549980164},{"id":"https://openalex.org/C132727834","wikidata":"https://www.wikidata.org/wiki/Q4892328","display_name":"Berlekamp\u2013Welch algorithm","level":5,"score":0.7847340106964111},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7279529571533203},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.6713451147079468},{"id":"https://openalex.org/C193969084","wikidata":"https://www.wikidata.org/wiki/Q7452500","display_name":"Sequential decoding","level":4,"score":0.6441321969032288},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6395058631896973},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5715125203132629},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.521812915802002},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4775044322013855},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4176047444343567},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.3529295325279236},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.32009610533714294},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.27354711294174194},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-012-9626-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-012-9626-1","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W58580312","https://openalex.org/W91267029","https://openalex.org/W200555411","https://openalex.org/W966573063","https://openalex.org/W1528935082","https://openalex.org/W1562183207","https://openalex.org/W1581232847","https://openalex.org/W1593683169","https://openalex.org/W1651818244","https://openalex.org/W1666316666","https://openalex.org/W1774842605","https://openalex.org/W1980822076","https://openalex.org/W1982892983","https://openalex.org/W1992406028","https://openalex.org/W2016391699","https://openalex.org/W2030571394","https://openalex.org/W2085856222","https://openalex.org/W2136570131","https://openalex.org/W2145150430","https://openalex.org/W2148575324","https://openalex.org/W2148621062","https://openalex.org/W2162442687","https://openalex.org/W2168704020","https://openalex.org/W2942537621","https://openalex.org/W3100826625","https://openalex.org/W4214573638","https://openalex.org/W4234572373"],"related_works":["https://openalex.org/W1548705449","https://openalex.org/W1980817751","https://openalex.org/W2359973017","https://openalex.org/W2050784748","https://openalex.org/W1975709480","https://openalex.org/W2247418595","https://openalex.org/W2963132315","https://openalex.org/W4245516769","https://openalex.org/W1646172719","https://openalex.org/W2255105136"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}