THE SYMMETRY GROUPS OF NONLINEARITY CRITERIA

(整期优先)网络出版时间:2004-01-11
/ 1
Itisalreadyknownthatthereareseveralnonlinearitycriteriasuchasalgebrajcdegree,nonlinearity,distancetolinearstructures,correlationimmune,propagationcriterion,differentialuniformity,whichareusedtocheckwhetheracryptographicfunctionisweakornot,inthispaperwewilldiscussthesecriteriafromavaluationpointofview,andconsiderthelargesttransformationgroupwhichleaveacriterioninvariant,whichisnameditssymmetrygroup.itcanserveasawayofcoparingthestabilityofnonlinearitycriteriaundertheactionofinvertibletransformations.