{"id":"https://openalex.org/W2049373824","doi":"https://doi.org/10.1007/s10623-010-9465-x","title":"Sparse Boolean equations and circuit lattices","display_name":"Sparse Boolean equations and circuit lattices","publication_year":2010,"publication_date":"2010-12-31","ids":{"openalex":"https://openalex.org/W2049373824","doi":"https://doi.org/10.1007/s10623-010-9465-x","mag":"2049373824"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-010-9465-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10623-010-9465-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10623-010-9465-x.pdf","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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10623-010-9465-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086199716","display_name":"Igor Semaev","orcid":null},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Igor Semaev","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, Norway","Department\u00a0of Informatics, University of Bergen, Bergen, Norway"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"Department\u00a0of Informatics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086199716"],"corresponding_institution_ids":["https://openalex.org/I4432739"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.27,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.58906319,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"59","issue":"1-3","first_page":"349","last_page":"364"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9991999864578247,"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/T11130","display_name":"Coding theory and cryptography","score":0.9991999864578247,"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/cryptanalysis","display_name":"Cryptanalysis","score":0.6963170170783997},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.6220037937164307},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5482559204101562},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.4193781018257141},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4067176878452301},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4004228115081787},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33990058302879333},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3278769850730896},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.2514049708843231}],"concepts":[{"id":"https://openalex.org/C181149355","wikidata":"https://www.wikidata.org/wiki/Q897511","display_name":"Cryptanalysis","level":3,"score":0.6963170170783997},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.6220037937164307},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5482559204101562},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.4193781018257141},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4067176878452301},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4004228115081787},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33990058302879333},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3278769850730896},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.2514049708843231},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10623-010-9465-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10623-010-9465-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10623-010-9465-x.pdf","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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"},{"id":"pmh:oai:bora.uib.no:1956/4531","is_oa":true,"landing_page_url":"http://hdl.handle.net/1956/4531","pdf_url":null,"source":{"id":"https://openalex.org/S4306400085","display_name":"Bergen Open Research Archive (BORA) (University of Bergen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4432739","host_organization_name":"University of Bergen","host_organization_lineage":["https://openalex.org/I4432739"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":{"id":"doi:10.1007/s10623-010-9465-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10623-010-9465-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10623-010-9465-x.pdf","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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320335197","display_name":"Norway Grants","ror":"https://ror.org/02dfxg175"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2049373824.pdf","grobid_xml":"https://content.openalex.org/works/W2049373824.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W173980447","https://openalex.org/W194212676","https://openalex.org/W1583871653","https://openalex.org/W1588182391","https://openalex.org/W1600955406","https://openalex.org/W1636546178","https://openalex.org/W1870923733","https://openalex.org/W1965003774","https://openalex.org/W1991374982","https://openalex.org/W2029845343","https://openalex.org/W2038345254","https://openalex.org/W2048079788","https://openalex.org/W2100408583","https://openalex.org/W2400568052","https://openalex.org/W2541235284","https://openalex.org/W2591842745","https://openalex.org/W2951210563","https://openalex.org/W2995200218","https://openalex.org/W3029796334","https://openalex.org/W3204802657","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2140798747","https://openalex.org/W2948169060","https://openalex.org/W257150968","https://openalex.org/W2730112582","https://openalex.org/W2368044729","https://openalex.org/W2358580169","https://openalex.org/W2111347279","https://openalex.org/W1996794584","https://openalex.org/W2110696645","https://openalex.org/W2142114659"],"abstract_inverted_index":{"A":[0],"system":[1,23],"of":[2,16,32,42,60,69],"Boolean":[3],"equations":[4],"is":[5,24,63],"called":[6],"sparse":[7],"if":[8],"each":[9],"equation":[10],"depends":[11],"on":[12],"a":[13,91],"small":[14],"number":[15],"variables.":[17],"Finding":[18],"efficiently":[19],"solutions":[20],"to":[21,50,75],"the":[22,30,43,61,67,76,79],"an":[25],"underlying":[26],"hard":[27],"problem":[28],"in":[29,94],"cryptanalysis":[31],"modern":[33],"ciphers.":[34],"In":[35],"this":[36],"paper":[37],"we":[38,55],"study":[39],"new":[40,85],"properties":[41],"Agreeing":[44],"Algorithm,":[45],"which":[46],"was":[47],"earlier":[48],"designed":[49],"solve":[51],"such":[52],"equations.":[53],"Then":[54],"show":[56],"that":[57],"mathematical":[58],"description":[59],"Algorithm":[62],"translated":[64],"straight":[65],"into":[66],"language":[68],"electric":[70],"wires":[71],"and":[72,78],"switches.":[73],"Applications":[74],"DES":[77,81],"Triple":[80],"are":[82],"discussed.":[83],"The":[84],"approach,":[86],"at":[87],"least":[88],"theoretically,":[89],"allows":[90],"faster":[92],"key-rejecting":[93],"brute-force":[95],"than":[96],"with":[97],"COPACOBANA.":[98]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}