Abstract

We present a new construction of a family of perfect ternary sequences (PTSs) that is a generalization of one of the known families of PTSs. These PTSs of length N1N2 are derived from shift sequences of odd length N1 corresponding to m-sequences over GF(p) and PTSs of odd length N2. Ipatov PTSs are a special case where N2 = 1. For N2 ≥ 3, we find conditions under which the obtained PTSs are new. We also consider implementation issues of these sequences.

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