Double Arrays, Triple Arrays, and Balanced Grids with v = r + c - 1

Authors

John P. McSorley, Southern Illinois University CarbondaleFollow

Comments

Published in Designs, Codes, and Cryptography, 37(2), 313-318. The original publication is available at www.springerlink.com.

Abstract

In Theorem 6.1 of McSorley et al. [3] it was shown that, when v = r+c−1, every triple array TA(v, k, λ_rr, λ_cc, k : r × c) is a balanced grid BG(v, k, k : r×c). Here we prove the converse of this Theorem. Our final result is: Let v = r +c−1. Then every triple array is a TA(v, k, c−k, r−k, k : r × c) and every balanced grid is a BG(v, k, k : r × c), and they are equivalent.

Recommended Citation

McSorley, John P. "Double Arrays, Triple Arrays, and Balanced Grids with v = r + c - 1." (Nov 2005).