On the construct of "good" sboxes

View previous topic View next topic Go down

On the construct of "good" sboxes

Post  Xiutao Feng on Fri Oct 15, 2010 8:19 pm

From the point of security view, it's known that the optimal algebraic immunity, optimal nonlinearity and optimal differential uniformity of a sbox permutation of size 8*8 are 3, 112 and 4 respectively. (it is an open problem whether there exists an 8*8 sbox permutation with differential uniformity 2 or not). We once attempted to construct such a sbox whose algebraic immunity, nonlinearity and differential uniformity approach optimal simultaneously, but we failed. While we attempted to prove that there didn't exist the sboxes whose algebraic immunity, nonlinearity and differential uniformity approach optimal simultaneously, we failed as well. pale We want to know:
1) Are there permuations from GF(2^n) to GF(2^n) whose algebraic immunity, nonlinearity and differential uniformity approach optimal simultaneously, where n is an even number such that n>= 8?
2) If yes, how to construct them?

Xiutao Feng

Posts: 13
Join date: 2010-08-20

View user profile

Back to top Go down

View previous topic View next topic Back to top

- Similar topics

Permissions in this forum:
You cannot reply to topics in this forum