Abstract
Weighted degree trace codes over even characteristic Galois rings give binary sequences by projection on their most significant bit (MSB). Upper bounds on the aperiodic correlation, peak to sidelobe level (PSL), partial period imbalance and partial period pattern imbalance of these sequences are derived. The proof technique involves estimates of incomplete character sums over Galois rings, combining Weil-like bounds with Fourier transform estimates.
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Solé, P., Zinoviev, D. (2008). The Peak to Sidelobe Level of the Most Significant Bit of Trace Codes over Galois Rings. In: Golomb, S.W., Parker, M.G., Pott, A., Winterhof, A. (eds) Sequences and Their Applications - SETA 2008. SETA 2008. Lecture Notes in Computer Science, vol 5203. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85912-3_29
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DOI: https://doi.org/10.1007/978-3-540-85912-3_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85911-6
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