TECHNOLOGY FOCUS - POLYMERS - Preferred Compositions: The composition with bismaleimide oligomer also comprises bismaleimide monomer, where the bismaleimide monomer is below 25% of total solids content of the composition. Molar ratio of total amount of used barbituric acid and bismaleimide oligomer is 1:3-2:1, preferably 1:2-1:1. Bismaleimide oligomer is above 75% of total solids content of the composition with bismaleimide oligomer. Bismaleimide monomer is below 25% of total solids content of the composition with bismaleimide oligomer. Preferred Products: Bismaleimide oligomer is a multi-functional group bismaleimide oligomer with high branch architecture or multi double-bond reactive functional groups. Preferred Components: High branch architecture mainly uses bismaleimide as architecture matrix; the barbituric acid is bonded on the double bond of the bismaleimide by free radical type, enabling double bond of the bismaleimide to open double sides or single side, and performing architecture polymerization reaction of branching and ordering, for forming branched section architecture, and persistently polymerizing and branching to forming the high branch architecture. Bismaleimide monomer comprises architectures represented by 1,1'-thiobis(1H-pyrrole-2,5-dione) of formula (I) and 1-methly-1H-pyrrole-2,5-dione compound with benzene and dimethlysulfane of formula (II)R1=-RCH3-(alkyl), -RNH2R-, -C(O)CH2-, -CH2OCH2-, -C(O)-, -O-, -O-O-, -S-, -S-S-, -S(O)-, -CH2S(O)CH2-, -(O)S(O)-, -C6H5-, -CH2(C6H5)CH2-, -CH2(C6H5)(O)-, extended phenyl, extended-combined phenyl, substituted extended phenyl or substituted extended-combined phenyl; andR2=-RCH2-, -C(O)-, -C(CH3)2-, -O-, -O-O-, -S-, -S-S-, -(O) S(O)- or -S(O)-.Bismaleimide monomer is selected from a group consisting of N,N'-bismaleimide-4,4'-diphenylmethane, 1,1'-(methylenedi-4,1-phenylene) bismaleimide, N,N'-(1,1'-biphenyl-4,4'-diyl) bismaleimide, N,N'-(4-methyl-1,3-phenylene) bismaleimide, 1,1'-(3,3'dimethyl-1,1'-biphenyl-4,4'-diyl) bismaleimide, N,N'-ethylenedimaleimide, N,N'-(1,2-phenylene) dimaleimide, N,N'-(1,3-phenylene) dimaleimide, N,N'-thiodimaleimide, N,N'-ketonedimaleimide, N,N'-methylene-bis-maleinimide, bis-maleinimidomethyl-ether, 1,2-bis-(maleimido)-1,2-ethandiol, N,N'-4,4'-diphenylether-bis-maleimid and 4,4'-bis(maleimido)-diphenylsulfone. Barbituric acid comprises an architecture represented by 5,5-dimethyl-6-methylene-dihydropyrimidine-2,4(1H,3H)-dione of formula (III).R3 and R4=the same or different substituted groups comprising H, Me, Et, C6H5, CH(CH3)2, CH2CH(CH3)2, CH2CH2CH(CH3)2, or CH(CH3)CH2CH2CH3.Branched section combination of the high branch architecture is -((bismaleimide monomer) +(barbituric acid)x)m- where X is 0-4, preferably 0.5-2.5, and repeating unit number m is less than or equal to 20, preferably 2-10. High branch architecture is branch type, each branch is a branched section, and total branched section of the high branch architecture is -(((bismaleimide monomer) + (barbituric acid)x)m)n-, where X is 0-4, repeating unit number m is less than or equal to 20 and repeating unit of total branched section n is less than or equal to 50. Composition with bismaleimide oligomer further comprises a carrier, for enabling the composition with bismaleimide oligomer to become solution or colloid type. Preferred Process: Bismaleimide oligomer forms molecular composites through reacting with epoxy resin, polyimide, or acrylate resin. Batch addition represents that adding equal or unequal barbituric acid in 2-30 batches, preferably 4-16 batches. Preferred Conditions: Interval time of batch addition is 5 minutes to 6 hours, preferably 15 minutes to 2 hours. Reaction temperature of bismaleimide monomer and barbituric acid is 100-150 degrees C, preferably 120-140 degrees C. Persistent reaction time after adding barbituric acid completely is 0.5-12 hours, preferably 1-6 hours.