To enter that faster swimming method, player must hold down R as well to activate Zora Link's barrier, causing him to drain magic at the cost of going faster AND electrifying enemies.
In addition to the normal swimming by moving the control stick in the water, holding down A will now cause Zora Link to swim at a moderate pace, unlike the fast pace used in previous versions. When using the Zora Mask, Zora Link behaves slightly different while swimming. Ocarina notes are no longer mapped to the C buttons, as there aren't any on 3DS system, instead, the Ocarina will use the X,Y,A,B,L,R buttons. Majora's Mask 3D supports the New 3DS System, and makes use of the new control stick as a camera control button. You can still run around and even fish during this transformation, but you will not be allowed to leave while wearing the mask.
Once you have completed the game and obtained the Fierce Deity Mask, you can transform into Fierce Deity Link inside the Fishing Holes, although you are unable to draw your sword.