简介:Itisalreadyknownthatthereareseveralnonlinearitycriteriasuchasalgebrajcdegree,nonlinearity,distancetolinearstructures,correlationimmune,propagationcriterion,differentialuniformity,whichareusedtocheckwhetheracryptographicfunctionisweakornot,inthispaperwewilldiscussthesecriteriafromavaluationpointofview,andconsiderthelargesttransformationgroupwhichleaveacriterioninvariant,whichisnameditssymmetrygroup.itcanserveasawayofcoparingthestabilityofnonlinearitycriteriaundertheactionofinvertibletransformations.