A class of nonlinear error correcting codes based upon interleaved two-level sequences (Corresp.)

In this correspondence, we consider nonlinear binary error-correcting codes based upon the
n
-fold interleaving of a periodic binary sequence of length
L
with 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}.