Crypto 2024 Springer Verlag. We consider the map $\chi:\f_2^n\to\f_2^n$ for $n$ odd given by $y=\chi(x)$ with $y_i=x_i+x_{i+2}(1+x_{i+1})$, where the indices are computed modulo $n$. In integral cryptanalysis, divisibility properties interpolate between bits that sum to zero.

In integral cryptanalysis, divisibility properties interpolate between bits that sum to zero. We propose a new notion called unclonable puncturable obfuscation (upo) and study its.