Employing a Pseudo-Random Sequence to Secure a Lattice Coding Scheme

A pseudo-random antipodal sequence that is accessible to transmitter and legitimate receiver is employed over a lattice coding scheme to provide the required security. Traditionally, pseudo-random sequences are employed in spread spectrum techniques to maintain the security of a wireless communication system. However, spread spectrum techniques require a huge amount of bandwidth that is a major constraint for wireless systems. Nonetheless, in the proposed scheme, the pseudorandom sequence is employed over channel coding level, so the bandwidth limitation of the spread spectrum is eased significantly. Mathematically, it is proved that the eavesdropper suffers from a degraded channel compared with legitimate receiver, and at high signal to noise ratio regimes, the proposed scheme can considerably deliver the required secrecy.