Existence of (v,k,2) difference sets with k<2030 and k-2 is a natural number

  • Adegoke Solomon Osifodunrin Department of Mathematics, Houston Community College, Houston, Texas 77083 USA
Keywords: Representation, Biplane, Idempotents, difference Sets, Intersection numbers

Abstract

(v, k, 2) symmetric designs(or Biplanes) are known to exist for some integer values k < 16. This paper investigates the existence of a class of (v, k, 2)  difference sets with <math>2 <  <sqrt>k-2</sqrt> < 45<\math> and <math><sqrt>k-2<\sqrt><\math> is an integer using variance technique, representation, group and algebraic number Theories. Our results indicate that most of these parameters do not exist.

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Published
2019-10-17
How to Cite
Osifodunrin, A. S. (2019). Existence of (v,k,2) difference sets with k&lt;2030 and k-2 is a natural number. International Journal of Mathematical Analysis and Optimization: Theory and Applications, 2019(2), 520 - 544. Retrieved from http://ihafa.unilag.edu.ng/index.php/ijmao/article/view/479
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Articles