New Families of p-Ary Sequences from Quadratic Form with Low Correlation and Large Linear Span

Abstract

The quadratic form technique has many applications in sequence design including determining certain exponential sums. A key idea in this technique is to transform the problem of computing exponential sums into determining the weights of certain quadratic forms. We use this idea to define two new families of non-binary sequences and determine their correlation properties. The new families of sequences possess low correlation and large linear complexity properties.KeywordsCorrelation FunctionQuadratic FormCorrelation PropertyLinear SpanSequence FamilyThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.