On Third-Order Nonlinearity of Biquadratic Monomial Boolean Functions

Table 2

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

	𝑛
	8	10	12	14	16	18	20
𝑖=3	21	150	830	4094	18988	84726	368407
𝑖=4	—	82	560	3321	16283	75960	338919
𝑖=5	—	—	326	2400	13284	65535	303849
General bounds	16	64	256	1024	4096	16384	65536