Дата публикации: Aug 20, 2019 12:43:44 PM
New non-existence result added in the table "ρ=1" (this also affects the table "ρ=2"; the corresponding lower bounds are marked with "!!"), see the reference [KV20]: if the parameters (n,b,c) attend the correlation immunity bound (i.e. b≠c and n=3(b+c)/4), then either b/gcd(b,c) or c/gcd(b,c) must be divisible by 3, otherwise such c.r.c. does not exist.
[KV20] D. S. Krotov, K. V. Vorob'ev. On unbalanced Boolean functions with best correlation immunity. The Electronic Journal of Combinatorics 27(1) 2020, #P1.45. DOI 10.37236/8557