New p-Ary Sequences with Low Correlation and Large Family Size

被引：0

作者：

Liu, Fang ^{[1
]}

Peng, Daiyuan ^{[1
]}

Tang, Xiaohu ^{[1
]}

Niu, Xianhua ^{[1
]}

机构：

[1] SW Jiaotong Univ, Sch Informat Sci & Technol, Prov Key Lab Informat Coding & Transmiss, Chengdu, Peoples R China

来源：

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES | 2010年 / E93A卷 / 11期

基金：

美国国家科学基金会;

关键词：

code division multiple access (CDMA); p ary sequence; quadratic form; low correlation; large linear span; PERIODIC CORRELATION-PROPERTIES; NONBINARY SEQUENCES; CORRELATION PROPERTY;

D O I：

10.1587/transfun.E93.A.2245

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

For an odd prime p two new families of p ary sequences of period p(n) - 1 are constructed for odd n = 2l + 1 = (2m + 1)e and even n = 2l = 2me respectively. It is shown that for a given integer rho with 1 <= p <= m the proposed sequence families both have maximum correlation magnitude 1 + p(n+2(rho-1)+2) family size (p(n) - 1)p((rho-1)n) + 1 and maximum linear span n(n+3)/2.

引用

页码：2245 / 2250

页数：6

共 50 条

[31] Nonlinear p-ary sequences
Ling, S
Solé, P
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2003, 14 (02) : 117 - 125
[32] ON P-ARY BENT SEQUENCES
MATSUFUJI, S
IMAMURA, K
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 1995, E78A (09) : 1257 - 1260
[33] Almost p-ary sequences
Ozden, Busra
Yayla, Oguz
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2020, 12 (06): : 1057 - 1069
[34] In the Cross-Correlation Distributions of p-Ary in-Sequences and Their Decimated Sequences
Choi, Sung-Tai
No, Jong-Seon
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2012, E95A (11) : 1808 - 1818
[35] Almost p-Ary Perfect Sequences
Chee, Yeow Meng
Tan, Yin
Zhou, Yue
SEQUENCES AND THEIR APPLICATIONS-SETA 2010, 2010, 6338 : 399 - +
[36] New Families of p-Ary Sequences of Period pn-1/2 with Low Maximum Correlation Magnitude
Lee, Wijik
Kim, Ji-Youp
No, Jong-Seon
IEICE TRANSACTIONS ON COMMUNICATIONS, 2014, E97B (11): : 2311 - 2315
[37] On the Non-Existence of Certain Classes of Perfect p-Ary Sequences and Perfect Almost p-Ary Sequences
Lv, Chang
IEEE TRANSACTIONS ON INFORMATION THEORY, 2017, 63 (08) : 5350 - 5359
[38] p-ary unified sequences:: p-ary extended d-form sequences with the ideal autocorrelation property
No, JS
IEEE TRANSACTIONS ON INFORMATION THEORY, 2002, 48 (09) : 2540 - 2546
[39] New p-ary perfect sequences and difference sets with singer parameters
Dillon, JF
SEQUENCES AND THEIR APPLICATIONS, PROCEEDINGS, 2002, : 23 - 33
[40] On the linear span of the p-ary cascaded GMW sequences
TANG XiaoHu Institute of Mobile Communications
ScienceinChina(SeriesF:InformationSciences), 2007, (04) : 551 - 560

← 1 2 3 4 5 →