Don't know what they are then.
Have you read that yellow grub article.
If there no signs of flicking and rubbing dosn't sound like velvet.
Yellow Grub
Symptoms:
Infected fish exhibit small yellow spots approximately 2 millimeters in diameter. These yellow spots can be found anywhere on the body and fins. Cysts may also be present in the internal organs.
Cause:
Larvae of digenetic worms, Cercaria and Metacercaria. The yellow spots on the fish’s body and fins contain larvae of di-genetic flukes. The larvae are introduced into the aquarium or pond by fish-eating birds who ingest fish infected with the parasite. Once ingested, the parasites mature in the intestines of the bird, where they produce eggs. The eggs are then deposited into the water with their droppings, where they infect the livers of aquatic snails. The snail allows the parasites to develop into a second and third larval form before migrating to a fish host. Due to this parasite’s complex life cycle, it is most common in pond-kept fish.
Treatment:
First remove all snails from the aquarium or pond so as to end the cycle of infection. Treatment is rarely necessary. Minor infestations tend to clear without treatment as the larvae will eventually die and be absorbed by the host's immune system. In severe cases, however, treating the water with Copper Sulfate may prove helpful.
Has the goldlfish ever been kept in a pond or with snails.