English

On Inverses for Quadratic Permutation Polynomials over Integer Rings

Information Theory 2011-02-11 v1 math.IT

Abstract

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.

Keywords

Cite

@article{arxiv.1102.2223,
  title  = {On Inverses for Quadratic Permutation Polynomials over Integer Rings},
  author = {Jonghoon Ryu and Oscar Y. Takeshita},
  journal= {arXiv preprint arXiv:1102.2223},
  year   = {2011}
}

Comments

21 pages, one column, Matlab files attached

R2 v1 2026-06-21T17:24:40.266Z