Crosscorrelation Properties of Binary Sequences with Ideal Two-Level Autocorrelation
For odd n, binary sequences of period 2 n –1 with ideal two-level autocorrelation are investigated with respect to 3- or 5-valued crosscorrelation property between them. At most 5-valued crosscorrelation of m-sequences is first discussed, which is linked to crosscorrelation of some other binary two-level autocorrelation sequences. Then, several theorems and conjectures are established for describing 3- or 5-valued crosscorrelation of a pair of binary two-level autocorrelation sequences.
KeywordsBinary Sequence Cyclic Code Quadratic Residue Weight Enumerator Trace Representation
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- 9.Helleseth, T., Kumar, P.V.: Sequences with Low Correlation. In: Pless, V., Huffmann, C. (eds.) A chapter in Handbook of Coding Theory. Elsevier Science Publishers, Amsterdam (1998)Google Scholar
- 13.Niho, Y.: Multi-valued cross-correlation functions between two maximal linear recursive sequences. Ph.D. Dissertation. University of Southern California (1972)Google Scholar
- 16.Sidelnikov, V.M.: On mutual correlation of sequences. Soviet Math. Dokl 12, 197–201 (1971)Google Scholar