{"id":"https://openalex.org/W4280536298","doi":"https://doi.org/10.1080/01611194.2022.2046660","title":"Analysis of rotation and shift based diffusion functions","display_name":"Analysis of rotation and shift based diffusion functions","publication_year":2022,"publication_date":"2022-05-18","ids":{"openalex":"https://openalex.org/W4280536298","doi":"https://doi.org/10.1080/01611194.2022.2046660"},"language":"en","primary_location":{"id":"doi:10.1080/01611194.2022.2046660","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01611194.2022.2046660","pdf_url":null,"source":{"id":"https://openalex.org/S185196701","display_name":"Cryptologia","issn_l":"0161-1194","issn":["0161-1194","1558-1586"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptologia","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/A5101615157","display_name":"Arvind Kumar","orcid":"https://orcid.org/0000-0001-6587-0072"},"institutions":[{"id":"https://openalex.org/I2800958399","display_name":"Aravind Eye Hospital","ror":"https://ror.org/05vg07g77","country_code":"IN","type":"healthcare","lineage":["https://openalex.org/I2800958399"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Arvind Kumar","raw_affiliation_strings":["Correspondencearvindmavi@gmail.com"],"raw_orcid":"https://orcid.org/0000-0001-6587-0072","affiliations":[{"raw_affiliation_string":"Correspondencearvindmavi@gmail.com","institution_ids":["https://openalex.org/I2800958399"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009290876","display_name":"P. R. Mishra","orcid":"https://orcid.org/0000-0003-0473-6616"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P. R. Mishra","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-0473-6616","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5014898170","display_name":"Odelu Ojjela","orcid":"https://orcid.org/0000-0001-6577-6051"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Odelu Ojjela","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-6577-6051","affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101615157"],"corresponding_institution_ids":["https://openalex.org/I2800958399"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.04746877,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"47","issue":"5","first_page":"419","last_page":"435"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9958999752998352,"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/T11269","display_name":"Algorithms and Data Compression","score":0.993399977684021,"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/rotation","display_name":"Rotation (mathematics)","score":0.77106112241745},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.7094330787658691},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.697677731513977},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5238418579101562},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.494718998670578},{"id":"https://openalex.org/keywords/block-cipher","display_name":"Block cipher","score":0.4907601773738861},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.462552011013031},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45273274183273315},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43790730834007263},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3536610007286072},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.255029559135437},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.22168290615081787},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13584300875663757},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1263243854045868},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08960628509521484}],"concepts":[{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.77106112241745},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.7094330787658691},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.697677731513977},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5238418579101562},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.494718998670578},{"id":"https://openalex.org/C106544461","wikidata":"https://www.wikidata.org/wiki/Q543151","display_name":"Block cipher","level":3,"score":0.4907601773738861},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.462552011013031},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45273274183273315},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43790730834007263},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3536610007286072},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.255029559135437},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.22168290615081787},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13584300875663757},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1263243854045868},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08960628509521484},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/01611194.2022.2046660","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01611194.2022.2046660","pdf_url":null,"source":{"id":"https://openalex.org/S185196701","display_name":"Cryptologia","issn_l":"0161-1194","issn":["0161-1194","1558-1586"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptologia","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":8,"referenced_works":["https://openalex.org/W1486719429","https://openalex.org/W1572300106","https://openalex.org/W1607798391","https://openalex.org/W2109394932","https://openalex.org/W2767954429","https://openalex.org/W2782754943","https://openalex.org/W2791790212","https://openalex.org/W4246608792"],"related_works":["https://openalex.org/W4251428025","https://openalex.org/W4289867043","https://openalex.org/W2784467519","https://openalex.org/W2366459771","https://openalex.org/W1973736094","https://openalex.org/W2350707375","https://openalex.org/W2377881809","https://openalex.org/W2355516922","https://openalex.org/W1986184480","https://openalex.org/W2353925609"],"abstract_inverted_index":{"\u2018Rotation":[0],"and":[1,16,30,73,78],"shift\u2019":[2,74],"based":[3,18,75],"diffusion":[4,34,53,76,88],"functions":[5,35,77,89],"are":[6,21,28,93],"used":[7],"in":[8,12],"modern":[9],"ciphers":[10],"especially":[11],"ARX":[13],"(Addition,":[14],"Rotation,":[15],"XOR)":[17],"designs.":[19],"They":[20],"preferred":[22],"over":[23],"other":[24],"alternatives":[25],"as":[26],"they":[27],"efficient":[29],"lightweight.":[31],"Usually,":[32],"such":[33],"map":[36],"an":[37,49],"n-bit":[38,42,50,52],"block":[39],"to":[40,51],"another":[41],"block.":[43],"One":[44],"of":[45,71,90],"the":[46],"requirements":[47],"for":[48,68],"function":[54],"is":[55],"that,":[56],"it":[57],"should":[58],"be":[59],"invertible.":[60,94],"In":[61],"this":[62],"paper,":[63],"we":[64],"present":[65],"mathematical":[66],"models":[67],"different":[69],"classes":[70,92],"\u2018rotation":[72],"explore":[79],"their":[80],"invertibility.":[81],"We":[82],"derive":[83],"sufficient":[84],"conditions":[85],"under":[86],"which":[87],"these":[91]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
