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4 days ago
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for n in range(2, 10):
    for s in range(n, 30):
        M = MatrixSpace(GF(5),n, s)
        S = Subsets(M, n, submultiset = False)
        for H in S:
            flag = true
            for h in H:
                if h * (h.transpose()) != identity_matrix(n):
                    flag = False;
                    break
                for g in H:
                    if (h == g):
                        ;
                    elif (h * (g.transpose()) + g * (h.transpose()) != zero_matrix(n)):
                        flag = False;
                        break
            if flag == True:
                n; s;
                break
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