In a large pot over medium heat, bring the water and kombu almost to a boil (about 10 minutes). Remove the kombu (you can save it for a second dashi). Use the liquid (kombu dashi) as a vegetarian stock, or follow the next steps to make ichiban dashi (first fish stock).
Immediately after removing the kombu, add the katsuobushi. Bring the liquid to a boil, then turn off the heat. Skim off any foam, and let the mixture stand for 2 minutes.
Strain the stock through a cloth-lined sieve. Discard the katsuobushi or save it with the kombu for a second stock. Refrigerate the dashi in a tightly covered container for up to 4 days, or freeze into cubes in an ice-cube tray.
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