Generalized nonbinary sequences with perfect autocorrelation, flexible alphabets and new periods

被引：3

作者：

Boztas, Serdar ^{[1
]}

Ozbudak, Ferruh ^{[2
,3
]}

Tekin, Eda ^{[3
,4
]}

机构：

[1] RMIT Univ, Sch Sci, Discipline Math, GPO Box 2476V, Melbourne, Vic 3001, Australia

[2] Middle East Tech Univ, Dept Math, TR-06800 Ankara, Turkey

[3] Middle East Tech Univ, Inst Appl Math, TR-06800 Ankara, Turkey

[4] Karabuk Univ, Dept Comp Technol, TR-78050 Karabuk, Turkey

来源：

CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES | 2018年 / 10卷 / 03期

关键词：

Feedback shift registers; Sequences; Autocorrelation; Finite fields;

D O I：

10.1007/s12095-017-0237-6

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We extend the parameters and generalize existing constructions of perfect autocorrelation sequences over complex alphabets. In particular, we address the PSK+ constellation (Boztas and Udaya 2010) and present an extended number theoretic criterion which is sufficient for the existence of the new sequences with perfect autocorrelation. These sequences are shown to exist for nonprime alphabets and more general lengths in comparison to existing designs. The new perfect autocorrelation sequences provide novel alternatives for wireless communications and radar system designers for applications in ranging and synchronisation as well as channel identification.

引用

页码：509 / 517

页数：9

共 38 条

[1] Generalized nonbinary sequences with perfect autocorrelation, flexible alphabets and new periods
Serdar Boztaş
Ferruh Özbudak
Eda Tekin
Cryptography and Communications, 2018, 10 : 509 - 517
[2] New nonbinary sequences with ideal two-level autocorrelation
Helleseth, T
Gong, G
IEEE TRANSACTIONS ON INFORMATION THEORY, 2002, 48 (11) : 2868 - 2872
[3] Autocorrelation and linear complexity of the new generalized cyclotomic sequences
Yan, Tongjiang
Sun, Rong
Xiao, Guozhen
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2007, E90A (04) : 857 - 864
[4] Autocorrelation of New Generalized Cyclotomic Sequences of Period pn
Jin, Seok-Yong
Kim, Young-Joon
Song, Hong-Yeop
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2010, E93A (11) : 2345 - 2348
[5] A construction for perfect periodic autocorrelation sequences
Blake, Samuel T., 1600, Springer Verlag (8865): : 104 - 108
[6] Autocorrelation values of generalized cyclotomic sequences of order two
Ding, CS
IEEE TRANSACTIONS ON INFORMATION THEORY, 1998, 44 (04) : 1699 - 1702
[7] Almost perfect autocorrelation sequences with small number of pauses for applications in magnetic resonance
Tekin, Eda
Gnilke, Oliver Wilhelm
Ozbudak, Ferruh
Bluemich, Bernhard
Greferath, Marcus
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2024, 16 (01): : 109 - 127
[8] Almost perfect autocorrelation sequences with small number of pauses for applications in magnetic resonance
Eda Tekin
Oliver Wilhelm Gnilke
Ferruh Özbudak
Bernhard Blümich
Marcus Greferath
Cryptography and Communications, 2024, 16 : 109 - 127
[9] Autocorrelation Values of New Generalized Cyclotomic Sequences of Order Two and Length pq
李胜强
陈志雄
傅晓彤
肖国镇
JournalofComputerScience&Technology, 2007, (06) : 830 - 834
[10] Autocorrelation values of new generalized cyclotomic sequences of order two and length pq
Li, Sheng-Qiang
Chen, Zhi-Xiong
Fu, Xiao-Tong
Xiao, Guo-Zhen
JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY, 2007, 22 (06) : 830 - 834

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