{"id":"https://openalex.org/W2013679886","doi":"https://doi.org/10.1016/s0195-6698(03)00008-8","title":"Carry propagation in signed digit representations","display_name":"Carry propagation in signed digit representations","publication_year":2003,"publication_date":"2003-04-01","ids":{"openalex":"https://openalex.org/W2013679886","doi":"https://doi.org/10.1016/s0195-6698(03)00008-8","mag":"2013679886"},"language":"en","primary_location":{"id":"doi:10.1016/s0195-6698(03)00008-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0195-6698(03)00008-8","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Combinatorics","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/A5072500485","display_name":"Clemens Heuberger","orcid":"https://orcid.org/0000-0003-0082-7334"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Clemens Heuberger","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Technische Universit\u00e4t Graz, Steyrergasse 30, A-8010 Graz, Austria","Institut f\u00fcr Mathematik, Technische Universit\u00e4t Graz, Steyrergasse 30, A\u20108010 Graz, Austria"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Technische Universit\u00e4t Graz, Steyrergasse 30, A-8010 Graz, Austria","institution_ids":["https://openalex.org/I4092182"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Technische Universit\u00e4t Graz, Steyrergasse 30, A\u20108010 Graz, Austria","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014728682","display_name":"Helmut Prodinger","orcid":"https://orcid.org/0000-0002-0009-8015"},"institutions":[{"id":"https://openalex.org/I192619145","display_name":"University of the Witwatersrand","ror":"https://ror.org/03rp50x72","country_code":"ZA","type":"education","lineage":["https://openalex.org/I192619145"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"Helmut Prodinger","raw_affiliation_strings":["The John Knopfmacher Centre for Applicable Analysis and Number Theory, School of Mathematics, University of the Witwatersrand, P. O. Wits, 2050 Johannesburg, South Africa"],"affiliations":[{"raw_affiliation_string":"The John Knopfmacher Centre for Applicable Analysis and Number Theory, School of Mathematics, University of the Witwatersrand, P. O. Wits, 2050 Johannesburg, South Africa","institution_ids":["https://openalex.org/I192619145"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014728682","https://openalex.org/A5072500485"],"corresponding_institution_ids":["https://openalex.org/I192619145","https://openalex.org/I4092182"],"apc_list":{"value":2880,"currency":"USD","value_usd":2880},"apc_paid":null,"fwci":2.3398,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.89507191,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"24","issue":"3","first_page":"293","last_page":"320"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9997000098228455,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9009180665016174},{"id":"https://openalex.org/keywords/numerical-digit","display_name":"Numerical digit","score":0.72150719165802},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.703734815120697},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.6166937351226807},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.5527526140213013},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.508042573928833},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.48963361978530884},{"id":"https://openalex.org/keywords/carry","display_name":"Carry (investment)","score":0.4836198389530182},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4780486226081848},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06096497178077698}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9009180665016174},{"id":"https://openalex.org/C94957134","wikidata":"https://www.wikidata.org/wiki/Q82990","display_name":"Numerical digit","level":2,"score":0.72150719165802},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.703734815120697},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.6166937351226807},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.5527526140213013},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.508042573928833},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.48963361978530884},{"id":"https://openalex.org/C2776299755","wikidata":"https://www.wikidata.org/wiki/Q432449","display_name":"Carry (investment)","level":2,"score":0.4836198389530182},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4780486226081848},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06096497178077698},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s0195-6698(03)00008-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0195-6698(03)00008-8","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.64.3998","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.64.3998","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://finanz.math.tu-graz.ac.at/~cheub/publications/carry.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.7.6405","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.7.6405","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://finanz.math.tu-graz.ac.at/~cheub/publications/carry.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1496427046","https://openalex.org/W1992612026","https://openalex.org/W2025715885","https://openalex.org/W2026011391","https://openalex.org/W2029948740","https://openalex.org/W2144429968","https://openalex.org/W2161613033","https://openalex.org/W2329095262","https://openalex.org/W2752853835"],"related_works":["https://openalex.org/W1963930613","https://openalex.org/W2117548279","https://openalex.org/W2033860701","https://openalex.org/W1569173638","https://openalex.org/W2241940925","https://openalex.org/W2070522125","https://openalex.org/W2090853787","https://openalex.org/W4249399111","https://openalex.org/W2131256658","https://openalex.org/W4245042232"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
