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Irregular, extremal perfect systems of difference sets II

โœ Scribed by D. G. Rogers


Publisher
Springer Japan
Year
1988
Tongue
English
Weight
482 KB
Volume
4
Category
Article
ISSN
0911-0119

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On critical perfect systems of differenc
โœ D.G. Rogers ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 773 KB

A perfect system of difference sets with threshold c is a partition of a consecutive run of integers beginning with c into full difference sets of valency at least 2. The BKT inequality, due to Bermond, Kotzig and Turgeon gives a necessary condition for the existence of such systems; systems for whi

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โœ Anton Kotzig; Jean Turgeon ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 424 KB

\_xk, 113 6 k <j s I,) be thcit difference sets. We shah say that the system ,S = (S, S2,. . ,, S,) is perfect if Each D' is called a component of the system. A perfect system of difference sets is caifed regular if rl = r2 = ---= r, = r. We shall then speak of a perfect (I, s)-system. In this pape