BARKER ARRAYS .2. ODD NUMBER OF ELEMENTS

被引：3

作者：

JEDWAB, J ^{[1
]}

LLOYD, S ^{[1
]}

MOWBRAY, M ^{[1
]}

机构：

[1] UNIV LONDON,ROYAL HOLLOWAY & BEDFORD NEW COLL,LONDON,ENGLAND

来源：

SIAM JOURNAL ON DISCRETE MATHEMATICS | 1993年 / 6卷 / 02期

关键词：

BARKER ARRAY; APERIODIC AUTOCORRELATION; BINARY ARRAY; NONEXISTENCE;

D O I：

10.1137/0406025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Barker array is a two-dimensional array with elements +/-1 such that all out-of-phase aperiodic autocorrelation coefficients are 0, 1, or -1. No s x t Barker array with s, t > 1 and (s, t) not-equal (2, 2) is known, and it is conjectured that none exists. Nonexistence results for a class of arrays that includes Barker arrays have been previously given, in the case where st is even. We prove nonexistence results for this class of arrays in the caw where st is odd, providing further support for the Barker array conjecture.

引用

页码：309 / 328

页数：20

共 50 条

[1] BARKER ARRAYS .1. EVEN NUMBER OF ELEMENTS
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[J]. SIAM JOURNAL ON DISCRETE MATHEMATICS, 1993, 6 (02) : 294 - 308
[2] FORMATION OF DIFFERENCE PATTERNS IN TRANSDUCER ARRAYS WITH AN ODD NUMBER OF ELEMENTS
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[J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1966, 40 (04): : 915 - &
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[4] IDENTITIES RELATING NUMBER OF PARTITIONS INTO AN EVEN AND ODD NUMBER OF PARTS .2.
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[J]. FIBONACCI QUARTERLY, 1978, 16 (01): : 5 - 6
[5] SEQUENCES WITH AN ODD NUMBER OF REAL ELEMENTS
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