On the Correlation Distribution of Kerdock Sequences

被引：0

作者：

Tang, Xiaohu ^{[1
]}

Helleseth, Tor ^{[2
]}

Johansen, Aina ^{[2
]}

机构：

[1] SW Jiaotong Univ, Inst Mobile Commun, Prov Key Lab Informat Coding & Transmiss, Chengdu 610031, Sichuan, Peoples R China

[2] Univ Bergen, Selmer Ctr, Dept Informat, N-5020 Bergen, Norway

来源：

SEQUENCES AND THEIR APPLICATIONS - SETA 2008 | 2008年 / 5203卷

关键词：

Binary sequences; quaternary sequences; Gray map; correlation distribution;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

For any even integer n, the binary Kerdock sequences of period 2(2(n) - 1) are optimal with respect to the well-known Welch bound. Until now the correlation distribution of this family has not been known. In this paper we completely determine its correlation distribution using connections between the correlation properties of binary sequences and quaternary sequences under the Gray map.

引用

页码：121 / +

页数：2

共 8 条

[1] 4-PHASE SEQUENCES WITH NEAR-OPTIMUM CORRELATION-PROPERTIES
BOZTAS, S
HAMMONS, R
KUMAR, PV
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1992, 38 (03) : 1101 - 1113
[2] Fan PZ., 1996, SEQUENCE DESIGN COMM
[3] THE Z4-LINEARITY OF KERDOCK, PREPARATA, GOETHALS, AND RELATED CODES
HAMMONS, AR
KUMAR, PV
CALDERBANK, AR
SLOANE, NJA
SOLE, P
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1994, 40 (02) : 301 - 319
[4] HELLESETH T, 1998, HDB CODING THEORY
[5] JOHANSEN A, IEEE T INFO IN PRESS
[6] Nechaev A.A., 1991, Discrete Math. Appl., V1, P365, DOI 10.1515/dma.1991.1.4.365
[7] Generalized binary Udaya-Siddiqi sequences
Tang, Xiaohu
Udaya, Parampalli
Fan, Pingzhi
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2007, 53 (03) : 1225 - 1230
[8] Optimal biphase sequences with large linear complexity derived from sequences over Z(4)
Udaya, P
Siddiqi, MU
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1996, 42 (01) : 206 - 216

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