EXISTENCE AND NONEXISTENCE OF ALMOST-PERFECT AUTOCORRELATION SEQUENCES

被引：50

作者：

POTT, A ^{[1
]}

BRADLEY, SP ^{[1
]}

机构：

[1] UNIV LONDON,ROYAL HOLLOWAY & BEDFORD NEW COLL,DEPT MATH,EGHAM TW20 0EX,SURREY,ENGLAND

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 1995年 / 41卷 / 01期

关键词：

ALMOST PERFECT AUTOCORRELATION SEQUENCE; DIFFERENCE SET; MULTIPLIER;

D O I：

10.1109/18.370094

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We show that almost perfect autocorrelation sequences are the same as certain cyclic divisible difference sets, We apply known theorems on divisible difference sets to simplify and strengthen results by J. Wolfmann [10], In particular, we answer two questions which were posed in [10].

引用

页码：301 / 304

页数：4

共 10 条

[1] SOME CONSTRUCTIONS OF GROUP DIVISIBLE DESIGNS WITH SINGER GROUPS [J].

ARASU, KT ;

POTT, A .

DISCRETE MATHEMATICS, 1991, 97 (1-3) :39-45

[2]

BOSE RC, 1942, J IND MATH SOC, V6, P1

[3] ORTHOGONAL MATRICES WITH ZERO DIAGONAL .2. [J].

DELSARTE, P ;

GOETHALS, JM ;

SEIDEL, JJ .

CANADIAN JOURNAL OF MATHEMATICS, 1971, 23 (05) :816-&

[4] RELATIVE DIFFERENCE SETS [J].

ELLIOTT, JEH ;

BUTSON, AT .

ILLINOIS JOURNAL OF MATHEMATICS, 1966, 10 (03) :517-&

[5] ON AUTOMORPHISM-GROUPS OF DIVISIBLE DESIGNS [J].

JUNGNICKEL, D .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1982, 34 (02) :257-297

[6]

JUNGNICKEL D, 1989, C NUMER, V68, P91

[7]

Jungnickel D., 1992, SANKHYA A, V54, P219

[8] ALMOST PERFECT BINARY FUNCTIONS [J].

LANGEVIN, P .

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 1993, 4 (02) :95-102

[9]

POTT A, IN PRESS SPRINGER LE

[10] ALMOST PERFECT AUTOCORRELATION SEQUENCES [J].

WOLFMANN, J .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1992, 38 (04) :1412-1418

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