TY - JOUR
AU - Adegoke Solomon Osifodunrin
PY - 2019/10/17
Y2 - 2020/05/31
TI - Existence of (v,k,2) difference sets with k<2030 and k-2 is a natural number
JF - International Journal of Mathematical Analysis and Optimization: Theory and Applications
JA - IJMAO
VL - 2019
IS - 2
SE - Articles
DO -
UR - http://jsrd.unilag.edu.ng/index.php/ijmao/article/view/479
AB - (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.
ER -