Application of Generating Functions and Partial Differential Equations in Coding Theory

摘要

In this work we have considered formal power series and partial differentialequations, and their relationship with Coding Theory. We have obtained thenature of solutions for the partial differential equations for Cycle PoissonCase. The coefficients for this case have been simulated, and the high tendencyof growth is shown. In the light of Complex Analysis, the HadamardMultiplication's Theorem is presented as a new approach to divide the powersums relating to the error probability, each part of which can be analyzedlater.