{"id":"https://openalex.org/W4283212063","doi":"https://doi.org/10.1007/s10623-022-01039-x","title":"Using permutation rational functions to obtain permutation arrays with large hamming distance","display_name":"Using permutation rational functions to obtain permutation arrays with large hamming distance","publication_year":2022,"publication_date":"2022-06-20","ids":{"openalex":"https://openalex.org/W4283212063","doi":"https://doi.org/10.1007/s10623-022-01039-x"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-022-01039-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-022-01039-x","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":null,"license_id":null,"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/A5035977878","display_name":"Sergey Bereg","orcid":"https://orcid.org/0000-0002-2866-6766"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sergey Bereg","raw_affiliation_strings":["Department of Computer Science, University of Texas at Dallas, Box 830688, Richardson, TX, 75083, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Texas at Dallas, Box 830688, Richardson, TX, 75083, USA","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039604569","display_name":"Brian Malouf","orcid":"https://orcid.org/0000-0003-2795-9265"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brian Malouf","raw_affiliation_strings":["Department of Computer Science, University of Texas at Dallas, Box 830688, Richardson, TX, 75083, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Texas at Dallas, Box 830688, Richardson, TX, 75083, USA","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074694552","display_name":"Linda Morales","orcid":"https://orcid.org/0000-0003-0929-4386"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Linda Morales","raw_affiliation_strings":["Department of Computer Science, University of Texas at Dallas, Box 830688, Richardson, TX, 75083, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Texas at Dallas, Box 830688, Richardson, TX, 75083, USA","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101888113","display_name":"Thomas Stanley","orcid":"https://orcid.org/0000-0002-9618-1955"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas Stanley","raw_affiliation_strings":["Department of Computer Science, University of Texas at Dallas, Box 830688, Richardson, TX, 75083, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Texas at Dallas, Box 830688, Richardson, TX, 75083, USA","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061707475","display_name":"I. Hal Sudborough","orcid":"https://orcid.org/0000-0002-7192-9891"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"I. Hal Sudborough","raw_affiliation_strings":["Department of Computer Science, University of Texas at Dallas, Box 830688, Richardson, TX, 75083, USA"],"raw_orcid":"https://orcid.org/0000-0002-7192-9891","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Texas at Dallas, Box 830688, Richardson, TX, 75083, USA","institution_ids":["https://openalex.org/I162577319"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5035977878"],"corresponding_institution_ids":["https://openalex.org/I162577319"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.6937,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74761201,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"90","issue":"7","first_page":"1659","last_page":"1677"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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":0.9997000098228455,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9980000257492065,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9980000257492065,"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/permutation","display_name":"Permutation (music)","score":0.7384296655654907},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.6961405277252197},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6880260109901428},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6520326137542725},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.6344420313835144},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5768730044364929},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.54411780834198},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5114142298698425},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.4839639961719513},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16069144010543823},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1305721402168274},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0892278254032135},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.05016833543777466}],"concepts":[{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.7384296655654907},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.6961405277252197},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6880260109901428},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6520326137542725},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.6344420313835144},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5768730044364929},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.54411780834198},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5114142298698425},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.4839639961719513},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16069144010543823},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1305721402168274},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0892278254032135},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.05016833543777466},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-022-01039-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-022-01039-x","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":null,"license_id":null,"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":[{"id":"https://openalex.org/G2471266296","display_name":null,"funder_award_id":"CCF-1718994","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1971990650","https://openalex.org/W1972398039","https://openalex.org/W1982382042","https://openalex.org/W2004598385","https://openalex.org/W2021063532","https://openalex.org/W2066218472","https://openalex.org/W2117389666","https://openalex.org/W2124672636","https://openalex.org/W2131029388","https://openalex.org/W2148602768","https://openalex.org/W2496009344","https://openalex.org/W2556566346","https://openalex.org/W2799090284","https://openalex.org/W2889976952","https://openalex.org/W2917551288","https://openalex.org/W2924227903","https://openalex.org/W2963221477","https://openalex.org/W2963444363","https://openalex.org/W2964326359","https://openalex.org/W2979952846","https://openalex.org/W2994269808","https://openalex.org/W3004305058","https://openalex.org/W3012394001","https://openalex.org/W3088569448","https://openalex.org/W3101959259","https://openalex.org/W3104738798","https://openalex.org/W3134543950","https://openalex.org/W4253585275","https://openalex.org/W6601121565"],"related_works":["https://openalex.org/W2943247777","https://openalex.org/W1990217685","https://openalex.org/W2740543340","https://openalex.org/W2412284786","https://openalex.org/W2371167013","https://openalex.org/W1582340598","https://openalex.org/W1541021634","https://openalex.org/W2779867339","https://openalex.org/W2794545997","https://openalex.org/W2584980534"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}