SHTTP means Secure Hypertext Transmission Protocol (aka Secure-HTTP).
SHTTP is an extended version of HTTP providing security through encryption. SHTTP encrypts data transfers, but does not authenticate the client. The responsibility for authentication remains with the website (i.e. the responsibility for determining whether the visitor should be shown the information in the first place).
FTTP means Fiber to the Premises. This term is used in several contexts: as a blanket term for both FTTH and FTTB, or where the fiber network includes both homes and small businesses.
Fiber to the x (FTTx) is a generic term for any broadband network architecture that uses optical fiber to replace all or part of the usual metal local loop used for last mile telecommunications. The generic term originated as a generalization of several configurations of fiber deployment (FTTN, FTTC, FTTB, FTTH...), all starting by FTT but differentiated by the last letter, which is substituted by an x in the generalization.