The textbook "Semidefinite Programming, Binary Codes and a Graph Coloring Problem" by Chao Li offers a comprehensive investigation into the maximum size of binary error-correcting codes. It highlights the challenges in determining A(n,d), which encompasses both the construction of effective codes and the search for good upper bounds. The author discusses the progress made from 1973 to 2003 and emphasizes the significant role that semidefinite programming (SDP) plays in the development of new bounds. By applying Terwilliger algebra and formulating a new SDP approach, the theoretical foundation for analyzing dual solutions is established. The book also includes information on programming in MATLAB and CVX, which are used for the efficient generation of solutions and the analysis of the combinatorial significance of the variables. These insights are of great importance for further research in information theory.