On Inverses for Quadratic Permutation Polynomials over Integer Rings

Details On Inverses for Quadratic Permutation Polynomials over Integer Rings On Inverses for Quadratic Permutation Polynomials over Integer Rings

2011-02-10

arxiv.org/abs/1102.2223v1

Computer Science

Information Theory

21 pages, one column, Matlab files attached

Scientific paper

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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