{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:25:10Z","timestamp":1777645510803,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2016,9,30]],"date-time":"2016-09-30T00:00:00Z","timestamp":1475193600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Fundamenta Informaticae"],"published-print":{"date-parts":[[2016,9,30]]},"abstract":"<jats:p>\n                    Two (so-called \ud835\udc9e, D) classes of permutation-based bent Boolean functions were introduced by Carlet [4] two decades ago, but without specifying some explicit construction methods for their construction (apart from the subclass \ud835\udc9f\n                    <jats:sub>0<\/jats:sub>\n                    ). In this article, we look in more detail at the \ud835\udc9e class, and derive some existence and nonexistence results concerning the bent functions in the \ud835\udc9e class for many of the known classes of permutations over \ud835\udd3d\n                    <jats:sub>\n                      2\n                      <jats:sup>n<\/jats:sup>\n                    <\/jats:sub>\n                    . Most importantly, the existence results induce generic methods of constructing bent functions in class \ud835\udc9e which possibly do not belong to the completed Maiorana-McFarland class. The question whether the specific permutations and related subspaces we identify in this article indeed give bent functions outside the completed Maiorana-McFarland class remains open.\n                  <\/jats:p>","DOI":"10.3233\/fi-2016-1386","type":"journal-article","created":{"date-parts":[[2016,11,18]],"date-time":"2016-11-18T10:13:36Z","timestamp":1479464016000},"page":"271-292","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":10,"title":["An Analysis of the \ud835\udc9e Class of Bent Functions"],"prefix":"10.1177","volume":"146","author":[{"given":"Bimal","family":"Mandal","sequence":"first","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Roorkee, INDIA."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pantelimon","family":"St\u0103nic\u0103","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA 93943-5216, USA."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sugata","family":"Gangopadhyay","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Engineering, Indian Institute of Technology Roorkee, INDIA."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Enes","family":"Pasalic","sequence":"additional","affiliation":[{"name":"University of Primorska, Faculty of Mathematics, Natural Sciences and Information Technologies (Famnit), SLOVENIA."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2016,9,30]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2016-1386","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2016-1386","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T06:32:25Z","timestamp":1777444345000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/FI-2016-1386"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,9,30]]},"references-count":0,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2016,9,30]]}},"alternative-id":["10.3233\/FI-2016-1386"],"URL":"https:\/\/doi.org\/10.3233\/fi-2016-1386","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"value":"0169-2968","type":"print"},{"value":"1875-8681","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,9,30]]}}}