{"id":"https://openalex.org/W2062493613","doi":"https://doi.org/10.1109/cig.2010.5592647","title":"Computation of the robust symmetrical number system dynamic range","display_name":"Computation of the robust symmetrical number system dynamic range","publication_year":2010,"publication_date":"2010-08-01","ids":{"openalex":"https://openalex.org/W2062493613","doi":"https://doi.org/10.1109/cig.2010.5592647","mag":"2062493613"},"language":"en","primary_location":{"id":"doi:10.1109/cig.2010.5592647","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cig.2010.5592647","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Information Theory Workshop","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/A5059161233","display_name":"Brian L. Luke","orcid":null},"institutions":[{"id":"https://openalex.org/I169781563","display_name":"Naval Facilities Engineering Systems Command","ror":"https://ror.org/0539h2w52","country_code":"US","type":"government","lineage":["https://openalex.org/I1330347796","https://openalex.org/I169781563","https://openalex.org/I3130687028"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Brian L. Luke","raw_affiliation_strings":["Virginia Beach, Navy Cyber Defense Operations Command, VA, USA","Navy Cyber Defense Operations Command, Virginia Beach, VA"],"affiliations":[{"raw_affiliation_string":"Virginia Beach, Navy Cyber Defense Operations Command, VA, USA","institution_ids":["https://openalex.org/I169781563"]},{"raw_affiliation_string":"Navy Cyber Defense Operations Command, Virginia Beach, VA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111979848","display_name":"P.E. Pace","orcid":null},"institutions":[{"id":"https://openalex.org/I35364215","display_name":"Naval Postgraduate School","ror":"https://ror.org/033yfkj90","country_code":"US","type":"education","lineage":["https://openalex.org/I1330347796","https://openalex.org/I3130687028","https://openalex.org/I35364215"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Phillip E. Pace","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Naval Postgraduate School, Monterrey, CA, USA","Department of Electrical and Computer Eng., Naval Postgraduate School, Monterey, CA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Naval Postgraduate School, Monterrey, CA, USA","institution_ids":["https://openalex.org/I35364215"]},{"raw_affiliation_string":"Department of Electrical and Computer Eng., Naval Postgraduate School, Monterey, CA","institution_ids":["https://openalex.org/I35364215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059161233"],"corresponding_institution_ids":["https://openalex.org/I169781563"],"apc_list":null,"apc_paid":null,"fwci":0.6937,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.82626381,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"49","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9976000189781189,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9976000189781189,"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/integer","display_name":"Integer (computer science)","score":0.6457822918891907},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.6189180612564087},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.551572322845459},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.5479093790054321},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5090069770812988},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45669490098953247},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4224327504634857},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36849313974380493},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34950414299964905},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08745414018630981},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07966509461402893}],"concepts":[{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6457822918891907},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.6189180612564087},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.551572322845459},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.5479093790054321},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5090069770812988},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45669490098953247},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4224327504634857},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36849313974380493},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34950414299964905},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08745414018630981},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07966509461402893},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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":1,"locations":[{"id":"doi:10.1109/cig.2010.5592647","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cig.2010.5592647","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Information Theory Workshop","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1984604679","https://openalex.org/W2045471404","https://openalex.org/W2099490780","https://openalex.org/W2099665028","https://openalex.org/W2106922874","https://openalex.org/W2123759036","https://openalex.org/W2125618334","https://openalex.org/W2131175050","https://openalex.org/W2135763227","https://openalex.org/W2171112196"],"related_works":["https://openalex.org/W2046435967","https://openalex.org/W4231775656","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W3134658850","https://openalex.org/W2385118824","https://openalex.org/W2052299349","https://openalex.org/W2017677733"],"abstract_inverted_index":{"The":[0,41,100,165],"robust":[1],"symmetrical":[2],"number":[3,8,155],"system":[4],"(RSNS)":[5],"is":[6,48,74,103,118,148,159,170],"a":[7,68,179,186],"theoretic":[9],"transform":[10],"formed":[11],"using":[12],"N":[13,29],"\u2265":[14],"2":[15],"integer":[16,35,37],"sequences":[17,56,72],"and":[18,83,97],"ensures":[19],"that":[20,57,137],"two":[21],"successive":[22],"RSNS":[23,47,71,120],"vectors":[24],"(paired":[25],"terms":[26],"from":[27],"all":[28,66],"sequences)":[30],"differ":[31],"by":[32,172],"only":[33],"one":[34],"-":[36],"Gray":[38],"code":[39],"property.":[40],"dynamic":[42,81,95,101,150],"range":[43,82,96,102,151],"M":[44,107,138,140,142],"of":[45,54,152,167,176],"the":[46,51,80,94,119,149,153,163,168,174],"defined":[49],"as":[50],"greatest":[52],"length":[53],"combined":[55],"contain":[58],"no":[59,75],"ambiguities":[60],"or":[61],"repeated":[62],"paired":[63],"terms.":[64],"For":[65],"but":[67],"select":[69],"few":[70],"there":[73],"closed-form":[76],"solution":[77],"to":[78,105,161,178],"compute":[79],"its":[84,98],"position.":[85,99],"This":[86],"paper":[87],"presents":[88],"an":[89],"efficient":[90],"algorithm":[91,169,182],"for":[92],"computing":[93],"shown":[104],"satisfy":[106],"<;;":[108,139],"P":[109,114,123],"<sub":[110,115,124,130,145],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[111,116,125,131,146],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">f</sub>":[112,117,126],"where":[113,141],"fundamental":[121],"period":[122],"=":[127,143],"2N":[128],"\u03a0m":[129,144],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">i</sub>":[132,147],".":[133],"It":[134],"then":[135],"follows":[136],"residue":[154],"system.":[156],"An":[157],"example":[158],"presented":[160],"demonstrate":[162],"algorithm.":[164],"efficiency":[166],"examined":[171],"comparing":[173],"speed":[175],"computation":[177],"naive":[180],"search":[181],"(using":[183],"MATLAB":[184],"on":[185],"PC).":[187]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}