#### 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.

arrDCCFIN.dvi (29 kB)

*.dvi copy*#### Recommended Citation

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

COinS

## Comments

Published in

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