Aruba Networks FIPS 140-2 manual WPA2-PSK

Authentication	Mechanism Strength
Mechanism
Wireless Client	For WPA2-PSK there are at least 95^16 (=4.4 x 10^31) possible
WPA2-PSK
	combinations. In order to test a guessed key, the attacker must complete the
(Wireless Client
	4-way handshake with the AP. Prior to completing the 4-way handshake, the
Role)
	attacker must complete the 802.11 association process. That process involves
	the following packet exchange:
	∙ Attacker sends Authentication request (at least 34 bytes)
	∙ AP sends Authentication response (at least 34 bytes)
	∙ Attacker sends Associate Request (at least 36 bytes)
	∙ AP sends Associate Response (at least 36 bytes)
	Total bytes sent: at least 140. Note that since we do not include the actual 4-
	way handshake, this is less than half the bytes that would actually be sent, so
	the numbers we derive will absolutely bound the answer.
	The theoretical bandwidth limit for IEEE 802.11n is 300Mbit, which is
	37,500,000 bytes/sec. In the real world, actual throughput is significantly less
	than this, but we will use this idealized number to ensure that our estimate is
	very conservative.
	This means that the maximum number of associations (assume no delays, no
	inter-frame gaps) that could be completed is less than 37,500,000/214 =
	267,857 per second, or 16,071,429 associations per minute. This means that
	an attacker could certainly not try more than this many keys per second (it
	would actually be MUCH less, due to the added overhead of the 4-way
	handshake in each case), and the probability of a successful attack in any 60
	second interval MUST be less than 16,071,429/(4.4 x 10^31), or roughly 1 in
	10^25, which is much less than 1 in 10^5.
Mesh AP WPA2	Same as Wireless Client WPA2-PSK above
PSK (User role)
Certificate based	The module supports RSA 2048-bit keys, which has at least 112-bits of
authentication –RSA	equivalent strength. The probability of a successful random attempt is
key pair (CO role)	1/(2^112), which is less than 1/1,000,000. The probability of a success with
	multiple consecutive attempts in a one-minute period is 5.6e7/(2^112), which
	is less than 1/100,000.

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