Authentication perpendicular arrays APA1(2, 5, v)

Authentication perpendicular arrays APA_λ (t, k, v), as a special kind of perpendicular arrays, are introduced by D. R. Stinson in constructing authentication and secrecy codes. In this article, we improve the existence results for APA₁(2, 5, v) and show that such a design exists if and only if v ≥ 5 is odd, except v = 7 and possibly excepting v = 9, 13, 15, 17, 33, 39, 49, 53, 57, 63, 69, 73, 87, 89, 97, 113, 137, and 213. © 1996 John Wiley & Sons, Inc.