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In the fog computing environment, the periodic sequence can provide sufficient authentication code and also reduce the power consumption in the verification. But the periodic sequence faces a known full-cycle attack threat in fog computing. This paper studies the 2-adic complexity attack ability of the periodic balance sequence in the fog computing environment. It uses the exponential function as a new approach to study the 2-adic properties of periodic balance sequence and presents that the 2-adic complexity of the periodic balanced sequence is not an attacking threat when used in fog computing.

A Fog Computing Security: 2-Adic Complexity of Balanced Sequences