Contents

Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

A short note on 3-GDDS with 3 groups and block size 4

Dinesh G. Sarvate1, Pramod N. Shinde2
1College of Charleston Charleston, SC 29424, USA
2Nowrosjee Wadia College, Savitribai Phule Pune University, Pune, India

Abstract

Necessary conditions for the existence of a \( 3 \)-GDD\((n, 3, k; \lambda_1, \lambda_2)\) are obtained along with some non-existence results. We also prove that these necessary conditions are sufficient for the existence of a \( 3 \)-GDD\((n, 3, 4; \lambda_1, \lambda_2)\) for \( n \) even.

Citation
Dinesh G. Sarvate, Pramod N. Shinde. A short note on 3-GDDS with 3 groups and block size 4[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 114. 329-339. .