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- [23] REACTIVITY OF [PT(CH2CL)2(PH2PCH2PPH2-PP')],[PT(CH2BR)2(PH2PCH2PPH2-PP')],[PT(CH2I)2(PH2PCH2PPH2-PP')] - 4-MEMBERED TO 5-MEMBERED RING EXPANSIONS - CRYSTAL-STRUCTURE OF [BIS(DIPHENYLPHOSPHINO)-METHANE-PP']BIS(CHLOROMETHYL)PLATINUM(II) [J]. JOURNAL OF THE CHEMICAL SOCIETY-DALTON TRANSACTIONS, 1990, (05): : 1553 - 1556
- [25] Functions f from Fn p, n=2m, to Z pk for which the character sum Hk f (pt, u) = ∼ x.Fn p. ptf (x) pk. u. x p (where.q=e2pi/ q is a q-th root of unity), has absolute value pm for all u. Fn p and 0=t = k-1, induce relative difference sets in Fn p x Z pk hence are called bent. Functions only necessarily satisfying |Hk f (1, u)| = pm are called generalized bent. We show that with spreads we not only can construct a variety of bent and generalized bent functions, but also can design functions from Fn p to Zpm satisfying |Hm f (pt, u)| = pm if and only if t. T for any T. {0, 1..., m-1}. A generalized bent function can also be seen as a Boolean (p-ary) bent function together with a partition of Fn p with certain properties. We show that the functions from the completed Maiorana-McFarland class are bent functions, which allow the largest possible partitions. [J]. CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2019, 11 (06): : 1233 - 1245