A class of nonlinear error correcting codes based upon interleaved two-level sequences (Corresp.)
Karl Levitt, Jack K. Wolf · IEEE Transactions on Information Theory · 1967
In this correspondence, we consider nonlinear binary error-correcting codes based upon then-fold interleaving of a periodic binary sequence of lengthLwith out-of-phase (normalized) autocorrelation-1/L. Examples of binary sequences with such out-of-phase autocorrelation (termed two-level sequences) are: 1) maximal-length linear shift-register \footnote[1]{sequences}, 2) twin-prime \footnote[2]{sequences}, 3) quadratic residue \footnote[3]{sequences}, and 4) Hall \foonote[4]{sequences}.