Classifications of certain t-designs

Certain Aspects of Geologic Classifications and Correlations.

The American Association for the Advancement of Scientiflc Apparatus and Laboratory Methods: Science: Regulating the Flow of Solution for Plant CulCertain Aspects of Geologic Classifications and Cortures: PROFESSOR SAM F. TRELEASE and JAMES R. relations: PROFESSOR ROLLIN T. CHAMBERLIN ............ 183 THOMSON. The Chicago Soil-Nutrient-Temperature Obituary: Tank: DR GEORGE K. K. LINK .............

Certain Hadamard Designs

(2.1) F = C+C0 + C If A, B are two aggregates of elements of F we shall denote by AB the aggregate formed by adding each element of A to every element of B. We shall also denote the aggregate obtained by taking A a times by a A. Then we have the following Lemma 1. If p'=l (mod 4), then pl1 C0Ce = ——(C. + o, 4 , pl 1 p'-S pl-i (2.2) 0-, = ^-—— C + Í-—— C. + --C., 2 4 4 ¿i _ i ¿i _ i ¿i _ s c. = ...

The Nonexistence of Certain Tight Spherical Designs

In this paper, the nonexistence of tight spherical designs is shown in some cases left open to date. Tight spherical 5-designs may exist in dimension n = (2m + 1)2 − 2, and the existence is known only for m = 1, 2. In the paper, the existence is ruled out under a certain arithmetic condition on the integer m, satisfied by infinitely many values of m, including m = 4. Also, nonexistence is shown...

New t-designs and large sets of t-designs

Genealogy of t-designs

Abstract Recent years have seen a dramatic increase in existence results for tdesigns with large t, i.e. t ≥ 5. Designs are now known to exist for several thousand parameter sets, mostly constructed by the method of orbiting under a group. This note is a contribution to the classification of these designs by parameters. We take an abstract look at admissible parameter sets in general. We introd...