  Generalized balance tournament packings (GBTPs) extend the concept of
generalized balanced tournament designs introduced by Lamken and Vanstone
(1989). In this paper, we establish the connection between GBTPs and a class of
codes called equitable symbol weight codes. The latter were recently
demonstrated to optimize the performance against narrowband noise in a general
coded modulation scheme for power line communications. By constructing classes
of GBTPs, we establish infinite families of optimal equitable symbol weight
codes with code lengths greater than alphabet size and whose narrowband noise
error-correcting capability to code length ratios do not diminish to zero as
the length grows.
