Using Primitive Pythagorean Triples and the Blom's Scheme in the 4-way Handshake Wireless Security Protocol
Abstract
The current standards for wireless security are WPA and its revised version WPA2 (IEEE 802.11i). At the basis of both of these is the WEP protocol that has been broken and automated software can crack it in under a minute. In order to put wireless security on a strong theoretical footing, this thesis proposes a novel way of using Pythagorean triples along with Blom's scheme to perform raw key exchange and authentication by using a 2 stage process to do the 4-way handshake similar to the one described in IEEE 802.11i. Primitive Pythagorean Triples (PPT's) are infinite and they display randomness that makes them good candidates for cryptographic key. We analyze the cryptographic strength of random keys generated by Primitive Pythagorean Triples and determine whether or not they can be used for wireless authentication and as raw keys for encryption in wireless security.
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- OSU Theses [15752]