After defeating Team Rocket during the Goldenrod Radio Tower fiasco, your next gym badge should be the eighth gym. If not, defeat Pryce at Mahogany first. If you are missing the eighth gym badge, go east of Mahogany through the Ice Path to Blackthorn.
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So simple
you go to the Kanto radio tower in lavender town
radio tower
Once you found the real director of the radio tower he will give it to you.
There is no way for you to get past the Guard that's blocking the staircase in the Radio Tower in Lavender Town in "Pokémon SoulSilver."