Keamy's secondary protocol has Dharma logo

Keamy takes a key from around Captain Gault's neck to access a safe in his office. It contains a secondary protocol which tells them where Ben is heading. Charles Widmore apparently knows where Ben would go, so now Keamy does too.

The most interesting thing about the secondary protocol is that there is a Dharma logo on the front. It's the same logo that was on Ben's Dharka in "The Shape of Things To Come." This is quite possibly the Orchid logo.

Widmore seems to know a lot about the island, but what is his connection with the Dharma Initiative?