On Third-Order Nonlinearity of Biquadratic Monomial Boolean Functions

Table 1

The lower bounds on the third-order nonlinearities obtained by Theorem 6 for odd 𝑛 and 𝑖=3,4,5.

	𝑛
	7	9	11	13	15	17	19
𝑖=3	11	75	415	2047	9493	42361	184199
𝑖=4	—	41	330	1660	8191	37979	169457
𝑖=5	—	—	163	1200	6642	32767	151923
General bounds	8	32	128	512	2048	8192	32768