Abstract:

The construction of a family of binary sequences with four level autocorrelation is described. Given any prime p and any positive integers m,n(mn), we construct a family of binary sequences with period pn－1 and fourlevel autocorrelation based on a binary sequence with period pm－1 and threelevel autocorrelation when m|n.The distribution of the autocorrelation values of these sequences is derived. Some properties such as constantonthecoset property and linear span are discussed.

Key words: optimal autocorrelation;fourlevelautocorrelation;constantonthecoset;linear span