I have created a Codename “Corp Names” and set its Number of Secrets to 5 as per

Secrets

Each Corp Name and Codename has a number of Secrets, which is tracked in the GNDT. For Corp Names this defaults to 5; for Codenames it defaults to zero.

This rule

Names

  Within the ruleset, a word only refers to the name of a Hacker if it is explicitly stated that it refers to a Hacker’s name.

applies only to Hacker Names, neither to Codenames, nor to Corp Names

Each Hacker has a Corp Name and any number of Codenames. Their Corp Name is the same as their BlogNomic account name, and is public.

As a weekly action, a Hacker may set up a new Codename by adding it as an NPC in the GNDT, with a unique name of their choosing that is preceded by a colon to denote that it is a Codename.

Moreover,

If both contradicting parts are Core Rules, or if both of them are Dynastic Rules, the part with more limited scope applies. (e.g. if the rules “Hackers may Kick each other” and “Hackers may not kick each other on Tuesdays” exist, and it is Tuesday, Hackers may not Kick each other.)

I suggest that the number of secrets of the codename “Corp Names” should be set to 5.