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A trace representation of binary Jacobi sequences |
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| Authors: | Zongduo Dai |
| Affiliation: | a State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, 100039, Beijing, China b Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, Ontario, Canada c School of Electrical and Electronics Engineering, Yonsei University, Seoul, Republic of Korea |
| Abstract: | We determine the trace function representation, or equivalently, the Fourier spectral sequences of binary Jacobi sequences of period pq, where p and q are two distinct odd primes. This includes the twin-prime sequences of period p(p+2) whenever both p and p+2 are primes, corresponding to cyclic Hadamard difference sets. |
| Keywords: | Cyclic difference sets Twin-prime cyclic difference sets Trace representations (discrete) Fourier spectral sequence Defining pairs Binary sequences with two-level autocorrelation Binary Hadamard sequences |
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