Link Control Protocol (LCP) is used by the Point-to-Point Protocol (PPP) to determine packet formats. PPP is a data link layer protocol that provides a standard method for transporting network layer packets over point-to-point links, such as serial lines, modems, or dial-up connections. PPP supports various network layer protocols, such as IP, IPX, or AppleTalk, and it can encapsulate them in a common frame format. PPP also provides features such as authentication, compression, error detection, and multilink aggregation. LCP is a subprotocol of PPP that is responsible for establishing, configuring, maintaining, and terminating the point-to-point connection. LCP negotiates and agrees on various options and parameters for the PPP link, such as the maximum transmission unit (MTU), the authentication method, the compression method, the error detection method, and the packet format. LCP uses a series of messages, such as configure-request, configure-ack, configure-nak, configure-reject, terminate-request, terminate-ack, code-reject, protocol-reject, echo-request, echo-reply, and discard-request, to communicate and exchange information between the PPP peers.

The other options are not used by PPP to determine packet formats, but rather for other purposes. Layer 2 Tunneling Protocol (L2TP) is a tunneling protocol that allows the creation of virtual private networks (VPNs) over public networks, such as the Internet. L2TP encapsulates PPP frames in IP datagrams and sends them across the tunnel between two L2TP endpoints. L2TP does not determine the packet format of PPP, but rather uses it as a payload. Challenge Handshake Authentication Protocol (CHAP) is an authentication protocol that is used by PPP to verify the identity of the remote peer before allowing access to the network. CHAP uses a challenge-response mechanism that involves a random number (nonce) and a hash function to prevent replay attacks. CHAP does not determine the packet format of PPP, but rather uses it as a transport. Packet Transfer Protocol (PTP) is not a valid option, as there is no such protocol with this name. There is a Point-to-Point Protocol over Ethernet (PPPoE), which is a protocol that encapsulates PPP frames in Ethernet frames and allows the use of PPP over Ethernet networks. PPPoE does not determine the packet format of PPP, but rather uses it as a payload.