• openAccess   List Decoding of Matrix-Product Codes from nested codes: an application to Quasi-Cyclic codes 

      Hernando, Fernando; Hoholdt, Tom; Ruano, Diego American Institute of Mathematical Sciences (2012-01-30)
      A list decoding algorithm for matrix-product codes is provided when C1, . . . , Cs are nested linear codes and A is a non-singular by columns matrix. We estimate the probability of getting more than one codeword as output ...
    • openAccess   On Exact Series Solution of Strongly Coupled Mixed Parabolic Problems 

      Ferrer González, María Vicenta; Soler Basauri, Vicente; Defez Candel, Emilio; Camacho Vindel, Javier Hindawi (2013)
      This paper studies the construction of the exact solution for parabolic coupled systems of the type ut = Auxx, A1u(0, t) + B1 ux (0,t) 0, A2 u(l, t) + B2 ux (l, t) = 0, 0 < x < 1, t > 0, and u (x, 0) = f(x), where A1, ...