<p style='text-indent:20px;'>Computational techniques for the construction of quasi-symmetric block designs are explored and applied to case with <inline-formula><tex-math id="M2">\begin{document}$ 56 $\end{document}</tex-math></inline-formula> points. One new id="M3">\begin{document}$ (56,16,18) many id="M4">\begin{document}$ (56,16,6) discovered, non-existe...