Add the eggs to a medium pot of boiling water and cook for 10 minutes, then cover and allow to rest for 10 minutes. Rinse in cold water for a few minutes, then peel.
Cook the noodles according to package directions. Rinse in cold water and set aside.
Cut the eggs in half and add the yolks to a bowl. Mash the yolks and mix in the mayonnaise, pickle juice and paprika.
Cut the cooked egg whites into small pieces.
Add the cooked noodles to a large bowl, stir in the dressing. Add the eggs and toss.
Cover and chill for 1 hour, or until ready to serve.
Notes
Storage: Store in an airtight container in the refrigerator for up to 3 days, stirring and adding a spoonful of mayo before serving if needed.