A new family of ternary sequences with ideal two-level autocorrelation function

A new family of ternary sequences with ideal two-level autocorrelation function

Let /spl alpha/ be a primitive element of F/sub 3n/. Let d=3/sup 2k/-3/sup k/+1 where n=3k. We show that the ternary sequence {s(t)} given by s(t)=Tr/sub n/(/spl alpha//sup t/+/spl alpha//sup dt/) has a two-level ideal autocorrelation function.

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Bibliographische Detailangaben
Hauptverfasser: Helleseth, T., Kumar, V., Martinsen, H.M.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Autocorrelation
Binary sequences
Councils
Cryptography
Galois fields
Informatics
Jacobian matrices
Polynomials
Random sequences
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Beschreibung
Zusammenfassung:Let /spl alpha/ be a primitive element of F/sub 3n/. Let d=3/sup 2k/-3/sup k/+1 where n=3k. We show that the ternary sequence {s(t)} given by s(t)=Tr/sub n/(/spl alpha//sup t/+/spl alpha//sup dt/) has a two-level ideal autocorrelation function.
DOI:10.1109/ISIT.2000.866626