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Completing the spectrum for LGDD ( m v )
Author(s) -
Lei Jianguo
Publication year - 1997
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/(sici)1520-6610(1997)5:1<1::aid-jcd1>3.0.co;2-j
Subject(s) - mod , mathematics , combinatorics , spectrum (functional analysis) , construct (python library) , physics , quantum mechanics , computer science , programming language
In this article, we construct LGDD( m v ) for v ≡ 2 (mod 6) and m ≡ 0 (mod 6) by constructing the missing essential values 6 v , v = 8, 14, 26, 50. Thus an LGDD( m v ) exists if and only if v ( v ‐ 1) m 2 ≡ 0 (mod 6), ( v ‐ 1) m ≡ 0 (mod 2) and ( m, v ) ≠ (1, 7). © 1997 John Wiley & Sons, Inc.