paper

The binary Gold function and its c-boomerang connectivity table

arXiv:2009.09340 · doi:10.1007/s12095-022-00573-8

Abstract

Here, we give a complete description of the c-Boomerang Connectivity Table for the Gold function over finite fields of even characteristic, by using double Weil sums. In the process we generalize a result of Boura and Canteaut (IACR Trans. Symmetric Cryptol. 2018(3) : 290-310, 2018) for the classical boomerang uniformity.

20 pages