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Mobile IP, which was designed at the working group of IETF, intended to enable nodes to move from one IP subnet to another. That is, it can support node mobility across heterogeneous networks. For this mobility support, a mobile node (MN) must achieve registration at a home agent (HA) when the MN is away from home. In this article, we propose a mobile IP authentication that is based on an identification scheme using a one-way function. It ensures a secure mobile IP authentication against replay attack and man-in-the-middle attack. Furthermore, its implementation is expected to be efficient, since it does not use any public key cryptography operations.