{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T13:17:52Z","timestamp":1778591872890,"version":"3.51.4"},"reference-count":21,"publisher":"Elsevier BV","issue":"9","license":[{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Discrete Mathematics"],"published-print":{"date-parts":[[2026,9]]},"DOI":"10.1016\/j.disc.2026.115172","type":"journal-article","created":{"date-parts":[[2026,4,15]],"date-time":"2026-04-15T20:24:17Z","timestamp":1776284657000},"page":"115172","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"title":["The weights of cubic 3-rotation symmetric Boolean functions"],"prefix":"10.1016","volume":"349","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0549-6194","authenticated-orcid":false,"given":"Younhwan","family":"Cheon","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas W.","family":"Cusick","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.disc.2026.115172_br0010","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1515\/jmc-2011-0020","article-title":"Recursive weights for some Boolean functions","volume":"6","author":"Brown","year":"2012","journal-title":"J. Math. Cryptol."},{"key":"10.1016\/j.disc.2026.115172_br0020","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1007\/s12095-012-0075-5","article-title":"Equivalence classes for cubic rotation symmetric functions","volume":"5","author":"Brown","year":"2013","journal-title":"Cryptogr. Commun."},{"key":"10.1016\/j.disc.2026.115172_br0030","doi-asserted-by":"crossref","first-page":"5067","DOI":"10.1016\/j.ins.2011.07.002","article-title":"Affine equivalence of cubic homogeneous rotation symmetric Boolean functions","volume":"181","author":"Cusick","year":"2011","journal-title":"Inf. Sci."},{"key":"10.1016\/j.disc.2026.115172_br0040","doi-asserted-by":"crossref","first-page":"1568","DOI":"10.1080\/00207160.2014.964693","article-title":"Permutation equivalence of cubic rotation symmetric Boolean functions","volume":"92","author":"Cusick","year":"2015","journal-title":"Int. J. Comput. Math."},{"key":"10.1016\/j.disc.2026.115172_br0050","author":"Cusick"},{"key":"10.1016\/j.disc.2026.115172_br0060","doi-asserted-by":"crossref","DOI":"10.1016\/j.ins.2023.120075","article-title":"Using Easy Coefficients Conjecture for rotation symmetric Boolean functions","volume":"659","author":"Cusick","year":"2024","journal-title":"Inf. Sci."},{"key":"10.1016\/j.disc.2026.115172_br0070","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1016\/j.ffa.2011.11.005","article-title":"Affine equivalence for rotation symmetric Boolean functions with pk variables","volume":"18","author":"Cusick","year":"2012","journal-title":"Finite Fields Appl."},{"issue":"1","key":"10.1016\/j.disc.2026.115172_br0080","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1515\/jmc-2014-0017","article-title":"Theory of 3-rotation symmetric cubic Boolean functions","volume":"9","author":"Cusick","year":"2015","journal-title":"J. Math. Cryptol."},{"key":"10.1016\/j.disc.2026.115172_br0090","doi-asserted-by":"crossref","first-page":"192","DOI":"10.1016\/j.ins.2013.09.001","article-title":"Affine equivalence of quartic homogeneous rotation symmetric Boolean functions","volume":"259","author":"Cusick","year":"2014","journal-title":"Inf. Sci."},{"issue":"5","key":"10.1016\/j.disc.2026.115172_br0100","doi-asserted-by":"crossref","DOI":"10.1016\/j.disc.2025.114912","article-title":"Recursion polynomial for cubic rotation symmetric Boolean functions","volume":"349","author":"Cusick","year":"2026","journal-title":"Discrete Math."},{"key":"10.1016\/j.disc.2026.115172_br0120","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1007\/s10623-014-9964-2","article-title":"Theory of 2-rotation symmetric cubic Boolean functions","volume":"76","author":"Cusick","year":"2015","journal-title":"Des. Codes Cryptogr."},{"key":"10.1016\/j.disc.2026.115172_br0130","series-title":"Cryptographic Boolean Functions","author":"Cusick","year":"2017"},{"issue":"6","key":"10.1016\/j.disc.2026.115172_br0140","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1049\/iet-ifs.2013.0241","article-title":"Families of rotation symmetric functions with useful cryptographic properties","volume":"8","author":"Gao","year":"2014","journal-title":"IET Inf. Secur."},{"key":"10.1016\/j.disc.2026.115172_br0150","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/j.ins.2012.02.030","article-title":"Results on rotation-symmetric S-boxes","volume":"201","author":"Kavut","year":"2012","journal-title":"Inf. Sci."},{"issue":"4","key":"10.1016\/j.disc.2026.115172_br0160","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1007\/s12095-018-0318-1","article-title":"Results on symmetric S-boxes constructed by concatenation of RSSBs","volume":"11","author":"Kavut","year":"2019","journal-title":"Cryptogr. Commun."},{"issue":"1","key":"10.1016\/j.disc.2026.115172_br0170","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1137\/17M1144581","article-title":"A super-set of Patterson-Wiedemann functions: upper bounds and possible nonlinearities","volume":"32","author":"Kavut","year":"2018","journal-title":"SIAM J. Discrete Math."},{"key":"10.1016\/j.disc.2026.115172_br0180","series-title":"Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC 2007)","first-page":"321","article-title":"Generalized rotation symmetric and dihedral symmetric Boolean functions \u2013 9 variable Boolean functions with nonlinearity 242","volume":"vol. 485","author":"Kavut","year":"2007"},{"key":"10.1016\/j.disc.2026.115172_br0190","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1016\/j.ic.2009.12.002","article-title":"9-variable Boolean functions with nonlinearity 242 in the generalized rotation symmetric class","volume":"208","author":"Kavut","year":"2010","journal-title":"Inf. Comput."},{"key":"10.1016\/j.disc.2026.115172_br0200","doi-asserted-by":"crossref","first-page":"428","DOI":"10.1016\/j.dam.2008.06.022","article-title":"On the weight and nonlinearity of homogeneous rotation symmetric Boolean functions of degree 2","volume":"157","author":"Kim","year":"2009","journal-title":"Discrete Appl. Math."},{"issue":"1","key":"10.1016\/j.disc.2026.115172_br0210","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1109\/TC.2016.2569410","article-title":"Construction of rotation symmetric S-boxes with high nonlinearity and improved DPA resistivity","volume":"66","author":"Mazumdar","year":"2017","journal-title":"IEEE Trans. Comput."},{"issue":"1","key":"10.1016\/j.disc.2026.115172_br0220","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1109\/TIT.2017.2769092","article-title":"Construction of n-variable (n\u22612mod4) balanced Boolean functions with maximum absolute value in autocorrelation spectra <2n\/2","volume":"64","author":"Tang","year":"2018","journal-title":"IEEE Trans. Inf. Theory"}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0012365X26001962?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0012365X26001962?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T12:56:38Z","timestamp":1778590598000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0012365X26001962"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,9]]},"references-count":21,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2026,9]]}},"alternative-id":["S0012365X26001962"],"URL":"https:\/\/doi.org\/10.1016\/j.disc.2026.115172","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[2026,9]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"The weights of cubic 3-rotation symmetric Boolean functions","name":"articletitle","label":"Article Title"},{"value":"Discrete Mathematics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.disc.2026.115172","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"115172"}}