1. A method for managing transmission resources in a digital communication system comprising an access network, including a DSL system, and implementing resource management to reduce impairments, including cross-talk interference, in a metal access cable or cable binder, of the access network, comprising a number, N, of lines, the method comprising: at a processor, executing instructions stored in a memory to carry out acts comprising: determining, for each respective of said lines, a relevant line set including only interference relevant lines for said respective line, applying resource management, of said lines N, using one or more algorithms based on the determined relevant line sets for said respective lines, defining a criterion comprising at least one decision variable, relating to a noise power spectral density, and indicating a level of acceptance for the respective line on each respective frequency within a frequency band of interest, with respect to said decision variable, examining, for each respective line, if the criterion is met in respect to each other line, identifying the lines for which the criterion is met as lines belonging to the interference relevant line set for said respective line.