Electronic token and lock core

A lock system comprising:

• a lock core comprising a core body, a lock actuator coupled to the core body for rotation about an axis, a blocker movable perpendicular to the axis, and an electromagnetic actuator, the blocker having a long dimension that is perpendicular to the axis, the electromagnetic actuator having a shaft that is movable parallel with the axis between a first position in which the blocker is locked to prevent rotation of the lock actuator about the axis and a second position in which the blocker is unlocked to allow rotation of the lock actuator about the axis, the blocker being in a locking position when the blocker prevents rotation of the lock actuator about the axis, the lock core further having a blocker spring that engages the blocker and biases the blocker toward the locking position;
• and
• a token that is couplable mechanically to the lock actuator, the electromagnetic actuator moving the shaft parallel with the axis from the first position to the second position so that the blocker is unlocked after the token is coupled mechanically to the lock actuator.