@inproceedings{d4ecc9d4e71a4b2a8792ff1ecbd885e3,
title = "Families of perfect polyphase sequences from the array structure of Fermat-Quotient sequences and Frank-Zadoff sequences",
abstract = "We show that a p-ary polyphase sequence of period p2 from the Fermat quotients is 'perfect.' That is, its periodic autocorrelation is zero for all non-trivial shifts. We call this Fermat-Quotient sequences. Using this and the fact that the Frank-Zadoff sequences (which is known to be also perfect), we propose a collection of 'optimum' families of perfect polyphase sequences in the sense of Sarwate Bound. That is, the cross-correlation of two members in a family is upper bounded by p. We may say these families are 'completely optimum' since the cross-correlation of any two members in a family is exactly p for all phase-shifts.",
author = "Park, {Ki Hyeon} and Song, {Hong Yeop} and Kim, {Dae San}",
year = "2015",
month = sep,
day = "28",
doi = "10.1109/ISIT.2015.7282713",
language = "English",
series = "IEEE International Symposium on Information Theory - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1537--1540",
booktitle = "Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015",
address = "United States",
note = "IEEE International Symposium on Information Theory, ISIT 2015 ; Conference date: 14-06-2015 Through 19-06-2015",
}