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The vulnerabilities, e.g., DoS attack or dictionary attack, are shown in 4-way handshake which is the re- key protocol used in wireless LAN security standard IEEE 802.11i. And the countermeasures against these are already proposed. In this paper, we propose key distribution scheme using matched filter. This paper shows that our proposal improves the resistance against DoS attack with less computational overhead compared with previous approaches, and is also effective against dictionary attack.