  Quantum key distribution(QKD) is one of the most significant areas in quantum
information theory. For nearly four decades, substantial QKD schemes are
developed. In early years, the security of QKD protocols is depend on switching
different bases, namely based on non-orthogonal state encoding. The most famous
example is the BB84 protocol. Later, other techniques were developed for
orthogonal state encoding. Examples of such protocols include the GV protocol
and order-rearrangement protocols. In this paper, we present two QKD protocols
based on orthogonal state encoding. One of them does not need to employ
order-rearrangement techniques while the other needs to. We provide analyses
for them, demonstrating that they are highly efficient when considering
consumptions of both qubits and classical bits. Furthermore, the employment of
maximally entangled states could be less than previous ones and so the
measurement efficiency could be increased. We also modify the protocols for
implementing in noisy channels by applying the testing state method.
