naa a22 4500 510794408 CHVBK 20180411083331.0 cr unu---uuuuu 180411e20130301xx s 000 0 eng 10.1007/s11277-012-0557-y doi (NATIONALLICENCE)springer-10.1007/s11277-012-0557-y Analysis of Cubic Permutation Polynomials for Turbo Codes [Elektronische Daten] [Lucian Trifina, Daniela Tarniceriu] Quadratic permutation polynomials (QPPs) have been widely studied and used as interleavers in turbo codes. However, less attention has been given to cubic permutation polynomials (CPPs). This paper proves a theorem which states sufficient and necessary conditions for a cubic permutation polynomial to be a null permutation polynomial. The result is used to reduce the search complexity of CPP interleavers for short lengths (multiples of 8, between 40 and 352), by improving the distance spectrum over the set of polynomials with the largest spreading factor. The comparison with QPP interleavers is made in terms of search complexity and upper bounds of the bit error rate (BER) and frame error rate (FER) for AWGN and for independent fading Rayleigh channels. Cubic permutation polynomials leading to better performance than quadratic permutation polynomials are found for some lengths. Springer Science+Business Media, LLC., 2012 Cubic and quadratic permutation polynomial nationallicence Spreading factor nationallicence Distance spectrum nationallicence Turbo codes nationallicence Trifina Lucian Faculty of Electronics, Telecommunications and Information Technology, "Gheorghe Asachi” Technical University of Iasi, Bd. Carol I no. 11, 700506, Iasi, Romania aut Tarniceriu Daniela Faculty of Electronics, Telecommunications and Information Technology, "Gheorghe Asachi” Technical University of Iasi, Bd. Carol I no. 11, 700506, Iasi, Romania aut Wireless Personal Communications Springer US; http://www.springer-ny.com 69/1(2013-03-01), 1-22 0929-6212 69:1<1 2013 69 11277 https://doi.org/10.1007/s11277-012-0557-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11277-012-0557-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Trifina Lucian Faculty of Electronics, Telecommunications and Information Technology, "Gheorghe Asachi” Technical University of Iasi, Bd. Carol I no. 11, 700506, Iasi, Romania aut NATIONALLICENCE 700 1- Tarniceriu Daniela Faculty of Electronics, Telecommunications and Information Technology, "Gheorghe Asachi” Technical University of Iasi, Bd. Carol I no. 11, 700506, Iasi, Romania aut NATIONALLICENCE 773 0- Wireless Personal Communications Springer US; http://www.springer-ny.com 69/1(2013-03-01), 1-22 0929-6212 69:1<1 2013 69 11277 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer