Exhaustive determination of (1023, 511, 255)-cyclic difference sets |
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| Authors: | Peter Gaal Solomon W Golomb |
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| Institution: | Communication Sciences Institute, University of Southern California, Los Angeles, CA 90089-2565, USA ; Communication Sciences Institute, University of Southern California, Los Angeles, CA 90089-2565, USA |
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| Abstract: | An exhaustive search for (1023, 511, 255)-cyclic difference sets has been conducted. A total of 10 non-equivalent (1023, 511, 255)-cyclic difference sets have been found, all of which are members of previously known or conjectured infinite families. A fast and effective autocorrelation test method was utilized that can also facilitate the testing of longer sequences. |
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| Keywords: | Cyclic Hadamard matrices cyclic difference sets ideal autocorrelation sequences |
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