On Inverses for Quadratic Permutation Polynomials over Integer Rings

Jonghoon Ryu, O.Y. Takeshita · arXiv (Cornell University) · 2011

Quadratic permutation polynomial interleavers over integer rings have recently received attention in practical turbo coding systems from deep space applications to mobile communications. In this correspondence, a necessary and sufficient condition that determines the least degree inverse of a quadratic permutation polynomial is proven. Moreover, an algorithm is provided to explicitly compute the inverse polynomials.

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