New pairs of -sequences with 4-level cross-correlation |
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| Authors: | Tor Helleseth Petri Rosendahl |
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| Institution: | Department of Informatics, University of Bergen, Hoyteknologisenteret, N-5020 Bergen, Norway |
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| Abstract: | Let ω be a primitive element of GF(2n), where . Let d=(22k+2s+1-2k+1-1)/(2s-1), where n=2k, and s is such that 2s divides k. We prove that the binary m-sequences s(t)=tr(ωt) and s(dt) have a four-level cross-correlation function and give the distribution of the values. |
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| Keywords: | Binary m-sequences Cross-correlation Finite fields |
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