FFT hashing is not collision free 1st Edition by Baritaud T, Gilbert H, Girault M ISBN

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Author: Baritaud T, Gilbert H, Girault M

FFT (Fast Fourier Transform) hashing refers to the use of the Fast Fourier Transform algorithm as part of a hashing process, primarily in the context of cryptography or data integrity. The general idea behind using FFT in hashing involves transforming input data into a frequency domain representation, and then utilizing the transformed data in a way that can be hashed efficiently. FFT-based algorithms can have advantages in terms of computational efficiency, especially when processing large data sets or signals, due to the FFT’s ability to reduce the time complexity of certain operations from O(n2)O(n^2)O(n2) to O(nlog⁡n)O(n log n)O(nlogn).

However, like many hashing techniques, FFT hashing is not collision-free. Understanding why this is the case requires delving into the properties of hash functions, the limitations of the FFT algorithm in the context of hashing, and the trade-offs involved in using this technique.

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