2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133682We discuss how the loop calculus approach of [Chertkov, Chernyak '06], enhanced by the pseudo-codeword search algorithm of [Chertkov, Stepanov '06] and the facet-guessing idea from [Dimakis, Wainwright '06], improves decoding of graph based codes in the error-floor domain. The utility of the new, Linear Programming based, decoding is demonstrated via analysis and simulations of the model $[155,64,20]$ code.6 pages, 1 figure, invited talk at ITW'07 TahoeInformation Theorytext