Describe in details the Authentication in 3GPP with clear steps and definition of each element involved and its role (IMSI, AUTN, CK,etc).

Authentication in 3GPP Home Environment Mobile Station Visited Network Sequence number (SON) RAND(i) K: User's secret key Generation of ryptographic material User authentication request IMSI/TMSI Authentication vectors RAND(i)AUTN(i) Verify AUTN(i) Compute RES(i) User authentication response RES(i) Compare RES(i) and YRES(i) Compute CK(i) and IK(i) Select CK(i) and IK(i)