1. A method for coherently modulating and demodulating a chaotic sequence spread spectrum signal within a communication system, comprising: channel encoding, by a transmitter of said communication system, a carrier with a plurality of information symbols; generating an identical string of discrete time chaotic samples at said transmitter and a receiver of said communication system by selecting a plurality of polynomial equations; using residue number system (RNS) arithmetic operations to respectively determine a plurality of solutions for said plurality of polynomial equations, said plurality of solutions iteratively computed and expressed as RNS residue values; and determining a series of digits in a weighted number system based on said plurality RNS residue values; modulating, at said transmitter, said carrier in a chaotic manner using said string of discrete time chaotic samples, each of said discrete time chaotic samples having a shorter sample time interval than a duration of said plurality of information symbols; utilizing, at said transmitter, an accurate time reference to minimize a timing difference uncertainty between each said string of discrete time chaotic samples generated at said transmitter and said receiver; synchronizing, at said receiver, each said string of discrete time chaotic samples in time and frequency; and maintaining synchronization of said string of discrete time chaotic samples in time and frequency at each said transmitter and said receiver for a duration of an information transfer.