From the following link on the NPS website
It seems the rules for camping in the backcountry are:
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You must be a through-hiker hiking for two or more consecutive days.
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Camping is limited to one night
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Ten Persons per campsite.
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Self contained stoves are permitted; ground fires, charcoal stoves and grills are prohibited.
If you can satisfy the above then you have to adhere to the following rules:
Hikers may not camp:
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Within 100 feet of any stream or water source
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Within 0.5 mile of an established roadway
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Within 200 feet of another camping party
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From 0.5 mile south of Blue Mountain Lake Road to a point 1