{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,10]],"date-time":"2024-09-10T00:22:33Z","timestamp":1725927753737},"reference-count":0,"publisher":"Universitatsbibliothek der Ruhr-Universitat Bochum","issue":"3","license":[{"start":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T00:00:00Z","timestamp":1725580800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["ToSC"],"abstract":"<jats:p>In ToSC 2023(3), Rasoolzadeh presented an algorithm for classifying (n\u2212m)-resilient Boolean functions with n variables, up to extended variable-permutation equivalence, for a small given positive integer m and any positive integer n with n \u2265 m. By applying this algorithm along with several speed-up techniques, he classified n-variable (n \u2212 4)-resilient Boolean functions up to equivalence for any n \u2265 4. However, for m = 5, due to the large number of representative functions, he was unable to classify n-variable (n \u2212 5)-resilient Boolean functions for n &gt; 6.In this work, we apply this algorithm together with a technique to restrict the ANF degree to classify quadratic and cubic (n \u2212 5)-resilient Boolean functions with n variables, up to the same equivalence. We show that there are only 131 quadratic representative functions for any n \u2265 8. Additionally, we show that there are 359 078 cubic representative functions for any n \u2265 14.<\/jats:p>","DOI":"10.46586\/tosc.v2024.i3.298-301","type":"journal-article","created":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T05:08:32Z","timestamp":1725858512000},"page":"298-301","source":"Crossref","is-referenced-by-count":0,"title":["Addendum to Classification of All t-Resilient Boolean Functions with t + 4 Variables"],"prefix":"10.46586","volume":"2024","author":[{"given":"Shahram","family":"Rasoolzadeh","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"25480","published-online":{"date-parts":[[2024,9,6]]},"container-title":["IACR Transactions on Symmetric Cryptology"],"original-title":[],"link":[{"URL":"https:\/\/tosc.iacr.org\/index.php\/ToSC\/article\/download\/11818\/11323","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/tosc.iacr.org\/index.php\/ToSC\/article\/download\/11818\/11323","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T05:08:33Z","timestamp":1725858513000},"score":1,"resource":{"primary":{"URL":"https:\/\/tosc.iacr.org\/index.php\/ToSC\/article\/view\/11818"}},"subtitle":["Classification of Quadratic and Cubic t-Resilient Boolean Functions with t + 5 Variables"],"short-title":[],"issued":{"date-parts":[[2024,9,6]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2024,9,6]]}},"URL":"https:\/\/doi.org\/10.46586\/tosc.v2024.i3.298-301","relation":{},"ISSN":["2519-173X"],"issn-type":[{"value":"2519-173X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,9,6]]}}}