20.500.12556/RUP-21722 Vectorial negabent concepts similarities, differences, and generalizations In Pasalic et al. (IEEE Trans Inf Theory 69:2702–2712, 2023), and in Anbar and Meidl (Cryptogr Commun 10:235–249, 2018), two different vectorial negabent and vectorial bent- negabent concepts are introduced, which leads to seemingly contradictory results. One of the main motivations for this article is to clarify the differences and similarities between these two concepts. Moreover, the negabent concept is extended to generalized Boolean functions from Fn 2 to the cyclic group Z2k . It is shown how to obtain nega-Z2k -bent functions from Z2k -bent functions, or equivalently, corresponding non-splitting relative difference sets from the splitting relative difference sets. This generalizes the shifting results for Boolean bent and negabent functions. We finally point to constructions of Z8 -bent functions employing per- mutations with the (Am ) property, and more generally we show that the inverse permutation gives rise to Z2k -bent functions. bent function Maiorana-McFarland class negabent functions ukrivljene funkcije Maiorana-McFarland razred negaukrivljene funkcije true false false Angleški jezik Slovenski jezik Članek v reviji 2025-09-12 10:32:14 2025-09-12 10:32:15 2025-10-05 03:02:20 0000-00-00 00:00:00 2025 0 0 str. 899-921 iss. 4 Vol. 93 Apr. 2025 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 2024-07-05 510.633.3 0925-1022 10.1007/s10623-024-01454-2 207993347 RAZ_Anbar_Nurdagul_2025.pdf RAZ_Anbar_Nurdagul_2025.pdf 1 DB9AD21DB1498E3E5635A0FD5B1EBA2F 933ebce2060acb364c9c649cfd95c766584c458445b877e13a3704767b61cb3f 4b602d99-8fb3-11f0-8f0b-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=31563 https://link.springer.com/article/10.1007/s10623-024-01454-2 1 16d648db-8fb3-11f0-8f0b-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=31562 Fakulteta za matematiko, naravoslovje in informacijske tehnologije 0 0 0