{"id":"https://openalex.org/W25335221","doi":"https://doi.org/10.1007/978-3-642-31662-3_7","title":"On the Algebraic Normal Form and Walsh Spectrum of Symmetric Functions over Finite Rings","display_name":"On the Algebraic Normal Form and Walsh Spectrum of Symmetric Functions over Finite Rings","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W25335221","doi":"https://doi.org/10.1007/978-3-642-31662-3_7","mag":"25335221"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-31662-3_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-31662-3_7","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5065510440","display_name":"Boris Batteux","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Boris Batteux","raw_affiliation_strings":["CASSIDIAN, Cyber Security, France","CASSIDIAN, Cyber Security, France#TAB#"],"affiliations":[{"raw_affiliation_string":"CASSIDIAN, Cyber Security, France","institution_ids":[]},{"raw_affiliation_string":"CASSIDIAN, Cyber Security, France#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5065510440"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01425886,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"92","last_page":"107"},"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":0.9995999932289124,"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/T10849","display_name":"Finite Group Theory Research","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.6270022392272949},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.6146709322929382},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5250309109687805},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5116674900054932},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.49689510464668274},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4962833523750305},{"id":"https://openalex.org/keywords/cipher","display_name":"Cipher","score":0.47021225094795227},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46662652492523193},{"id":"https://openalex.org/keywords/symmetric-key-algorithm","display_name":"Symmetric-key algorithm","score":0.4565008580684662},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.4500364661216736},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39791741967201233},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36393582820892334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33444467186927795},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28151750564575195},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21910473704338074},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.14926502108573914},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1244674026966095},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.10039445757865906},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09715145826339722},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07708227634429932}],"concepts":[{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.6270022392272949},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.6146709322929382},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5250309109687805},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5116674900054932},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.49689510464668274},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4962833523750305},{"id":"https://openalex.org/C2780221543","wikidata":"https://www.wikidata.org/wiki/Q4681865","display_name":"Cipher","level":3,"score":0.47021225094795227},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46662652492523193},{"id":"https://openalex.org/C65302260","wikidata":"https://www.wikidata.org/wiki/Q327675","display_name":"Symmetric-key algorithm","level":4,"score":0.4565008580684662},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.4500364661216736},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39791741967201233},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36393582820892334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33444467186927795},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28151750564575195},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21910473704338074},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.14926502108573914},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1244674026966095},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.10039445757865906},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09715145826339722},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07708227634429932},{"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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-31662-3_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-31662-3_7","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W59980933","https://openalex.org/W86758347","https://openalex.org/W89162579","https://openalex.org/W589333786","https://openalex.org/W1518468345","https://openalex.org/W1538265278","https://openalex.org/W1547783635","https://openalex.org/W1578515439","https://openalex.org/W1918243660","https://openalex.org/W1971332583","https://openalex.org/W1983827543","https://openalex.org/W2007140247","https://openalex.org/W2018252462","https://openalex.org/W2093821665","https://openalex.org/W2124512394","https://openalex.org/W2125838758","https://openalex.org/W2196559987","https://openalex.org/W2330548796","https://openalex.org/W2497291046","https://openalex.org/W2619633776"],"related_works":["https://openalex.org/W2159024673","https://openalex.org/W2366398483","https://openalex.org/W4313017509","https://openalex.org/W1984254171","https://openalex.org/W2509905176","https://openalex.org/W2183870254","https://openalex.org/W229750822","https://openalex.org/W2766688087","https://openalex.org/W4366077133","https://openalex.org/W3172395767"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
