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math.CO2020★ 1 cited
The number of almost perfect nonlinear functions grows exponentially
Christian Kaspers, Yue Zhou
Almost perfect nonlinear (APN) functions play an important role in the design of block ciphers as they offer the strongest resistance against differential cryptanalysis. Despite mo…
math.CO2020★ 4 cited
A lower bound on the number of inequivalent APN functions
Christian Kaspers, Yue Zhou
In this paper, we establish a lower bound on the total number of inequivalent APN functions on the finite field with elements, where is even. We obtain this result by…