Optimal Families of Perfect Polyphase Sequences from Cubic Polynomials
Summary :
For an odd prime p and a positive integer k ≥ 2, we propose and analyze construction of perfect pk-ary sequences of period pk based on cubic polynomials over the integers modulo pk. The constructed perfect polyphase sequences from cubic polynomials is a subclass of the perfect polyphase sequences from the Mow's unified construction. And then, we give a general approach for constructing optimal families of perfect polyphase sequences with some properties of perfect polyphase sequences and their optimal families. By using this, we construct new optimal families of pk-ary perfect polyphase sequences of period pk. The constructed optimal families of perfect polyphase sequences are of size p-1.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E101-A No.12 pp.2359-2365
- Publication Date
- 2018/12/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E101.A.2359
- Type of Manuscript
- Special Section PAPER (Special Section on Signal Design and Its Applications in Communications)
- Category
- Coding Theory
Authors
Min Kyu SONG
Yonsei University
Hong-Yeop SONG
Yonsei University
Keyword
Latest Issue
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Min Kyu SONG, Hong-Yeop SONG, "Optimal Families of Perfect Polyphase Sequences from Cubic Polynomials" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 12, pp. 2359-2365, December 2018, doi: 10.1587/transfun.E101.A.2359.
Abstract: For an odd prime p and a positive integer k ≥ 2, we propose and analyze construction of perfect pk-ary sequences of period pk based on cubic polynomials over the integers modulo pk. The constructed perfect polyphase sequences from cubic polynomials is a subclass of the perfect polyphase sequences from the Mow's unified construction. And then, we give a general approach for constructing optimal families of perfect polyphase sequences with some properties of perfect polyphase sequences and their optimal families. By using this, we construct new optimal families of pk-ary perfect polyphase sequences of period pk. The constructed optimal families of perfect polyphase sequences are of size p-1.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.2359/_p
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@ARTICLE{e101-a_12_2359,
author={Min Kyu SONG, Hong-Yeop SONG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Optimal Families of Perfect Polyphase Sequences from Cubic Polynomials},
year={2018},
volume={E101-A},
number={12},
pages={2359-2365},
abstract={For an odd prime p and a positive integer k ≥ 2, we propose and analyze construction of perfect pk-ary sequences of period pk based on cubic polynomials over the integers modulo pk. The constructed perfect polyphase sequences from cubic polynomials is a subclass of the perfect polyphase sequences from the Mow's unified construction. And then, we give a general approach for constructing optimal families of perfect polyphase sequences with some properties of perfect polyphase sequences and their optimal families. By using this, we construct new optimal families of pk-ary perfect polyphase sequences of period pk. The constructed optimal families of perfect polyphase sequences are of size p-1.},
keywords={},
doi={10.1587/transfun.E101.A.2359},
ISSN={1745-1337},
month={December},}
Copy
TY - JOUR
TI - Optimal Families of Perfect Polyphase Sequences from Cubic Polynomials
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2359
EP - 2365
AU - Min Kyu SONG
AU - Hong-Yeop SONG
PY - 2018
DO - 10.1587/transfun.E101.A.2359
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2018
AB - For an odd prime p and a positive integer k ≥ 2, we propose and analyze construction of perfect pk-ary sequences of period pk based on cubic polynomials over the integers modulo pk. The constructed perfect polyphase sequences from cubic polynomials is a subclass of the perfect polyphase sequences from the Mow's unified construction. And then, we give a general approach for constructing optimal families of perfect polyphase sequences with some properties of perfect polyphase sequences and their optimal families. By using this, we construct new optimal families of pk-ary perfect polyphase sequences of period pk. The constructed optimal families of perfect polyphase sequences are of size p-1.
ER -
English
