Aplicação da análise matemática no rastreamento reverso do número IP para uso em redes TCP/IP sob ataque de negação-de-serviço

Abstract

The denial-of-service attack was unveiled in the year of 1988 and became a serious threat to the computer networks to carry on properly, around the world. When this kind of attack is going on the victim suffers so high increment in demanding computational resources, that they may become unavailable to the true users. Despite the fact that there exist other kind of computers network attacks, the denial-of-service attack is the target of a special interest by the scientific community, dedicated to computers network security. This is due to the simplicity in starting the attack, associated with its destructive effect. The difficulty in defending against this attack grows according to it is in a form “direct”, “indirect”, or “distributed”. In the specialized literature dealing with security there are papers with varied approaches to this problem and the main feature is the predominant state-ofart. The stressed trend in the arised proposes is the joining of mathematical and computational arguments. In this thesis some papers are analysed with considerable contributions to the problem under study. An original idea dealing with this problem, based in concepts and tools of the Theory of Complex variables, is joined to this analysis. The mapping between the attack environment and the complex variables space is the form by which one may construct a method to determine an attacker IP number, through the use of the “windind number of a path around a point”. This concept is a consequence of the “Cauchy’s Integral Theorem”, one the the most important results in the Theory of complex Variables.