NONEXISTENCE OF CERTAIN PERFECT ARRAYS

被引:4
|
作者
CHAN, WK
SIU, MK
MA, SL
机构
[1] UNIV HONG KONG,DEPT MATH,HONG KONG,HONG KONG
[2] NATL UNIV SINGAPORE,DEPT MATH,SINGAPORE 0511,SINGAPORE
关键词
D O I
10.1016/0012-365X(94)90150-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Perfect binary arrays are equivalent to Menon difference sets in certain groups. This note proves a theorem on the Menon difference set and interprets its consequences on the nonexistence of certain perfect arrays.
引用
收藏
页码:107 / 113
页数:7
相关论文
共 50 条
  • [41] Nonexistence of a few binary orthogonal arrays
    Boyvalenkov, Peter
    Marinova, Tanya
    Stoyanova, Maya
    [J]. DISCRETE APPLIED MATHEMATICS, 2017, 217 : 144 - 150
  • [42] ON THE NONEXISTENCE OF BARKER ARRAYS AND RELATED MATTERS
    ALQUADDOOMI, S
    SCHOLTZ, RA
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1989, 35 (05) : 1048 - 1057
  • [43] Nonexistence of a few binary orthogonal arrays
    Boyvalenkov P.
    Marinova T.
    Stoyanova M.
    [J]. Discrete Applied Mathematics, 2017, 217 : 144 - 150
  • [44] ON THE PERFECT BINARY ARRAYS
    杨义先
    [J]. Journal of Electronics(China), 1990, (02) : 175 - 181
  • [45] Nested Perfect Arrays
    Becher, Veronica
    Carton, Olivier
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2024, 70 (10) : 7463 - 7471
  • [46] ON PERFECT BINARY ARRAYS
    KOPILOVICH, LE
    [J]. ELECTRONICS LETTERS, 1988, 24 (09) : 566 - 567
  • [47] Perfect ternary arrays
    Arasu, KT
    Dillon, JF
    [J]. DIFFERENCE SETS, SEQUENCES AND THEIR CORRELATION PROPERTIES, 1999, 542 : 1 - 15
  • [48] A note on perfect arrays
    Cao, XW
    Qiu, WS
    [J]. IEEE SIGNAL PROCESSING LETTERS, 2004, 11 (04) : 435 - 438
  • [49] PERFECT BINARY ARRAYS
    LUKE, HD
    BOMER, L
    ANTWEILER, M
    [J]. SIGNAL PROCESSING, 1989, 17 (01) : 69 - 80
  • [50] PERFECT TERNARY ARRAYS
    ANTWEILER, MFM
    BOMER, L
    LUKE, HD
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (03) : 696 - 705