According to research on the message modification techniques presented by Wang Xiaoyun et al and the advanced message modification techniques proposed by Yu Sasaki et al

the multi-message modification techniques were founded to not be always able to make a chaining value satisfy several sufficient conditions simultaneously and with it a method was presented to make it up. Moreover

two of the sufficient conditions were pointed out since they are no longer able to be modified by the method presented by Yu Sasaki et al in the new set of sufficient conditions proposed by Liang Jie and Lai Xuejia

and a new method was proposed to make one of them satisfied deterministically. Additionally

new multi-message modification techniques were presented to modify the other three sufficient conditions. Finally

the results are tested by computer simulations and produce new collision pairs for MD5.