Algorithm 2 Algorithm to construct $B=B_{cyc}$.

Input:n,s(<n)

H = binom(n,s)  H = −sum(H(:,1:n−1),2)  B = zeros(n)  for i = 1:n do

⌊ j = mod(i − 1:s + i − 1, n) + 1  B(i,j) = [1; −H(:,j(2 : s + 1))]\H(:,j(1))]

output:$B\in {\mathbb{R}}^{n\times n}$ with (s + 1) non-zeros in each row.