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The χ function over n-dimensional vector space over GF(2) is defined as χ(x_{0}, x_{1}, ..., x_{n-1}) = (y_{0}, y_{1}, ..., y_{n-1}) where
n
χ(x_{0}, x_{1}, ..., x_{n-1}) = (y_{0}, y_{1}, ..., y_{n-1})
y_i = x_i + (x_{i+1} + 1) x_{i+2}
for i=0, 1, ..., n-1 and the indices are computed modulo n
i=0, 1, ..., n-1