Application of Generating Functions and Partial Differential Equations in Coding Theory
Information Theory
2007-07-13 v1 math.IT
Abstract
In this work we have considered formal power series and partial differential equations, and their relationship with Coding Theory. We have obtained the nature of solutions for the partial differential equations for Cycle Poisson Case. The coefficients for this case have been simulated, and the high tendency of growth is shown. In the light of Complex Analysis, the Hadamard Multiplication's Theorem is presented as a new approach to divide the power sums relating to the error probability, each part of which can be analyzed later.
Keywords
Cite
@article{arxiv.cs/0501015,
title = {Application of Generating Functions and Partial Differential Equations in Coding Theory},
author = {Milan Bradonjic},
journal= {arXiv preprint arXiv:cs/0501015},
year = {2007}
}
Comments
17 pages, 16 figures