### Abstract

We determine the trace function representation, or equivalently, the Fourier spectral sequences of binary Jacobi sequences of period p q, 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.

Original language | English |
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Pages (from-to) | 1517-1527 |

Number of pages | 11 |

Journal | Discrete Mathematics |

Volume | 309 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2009 Apr 6 |

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### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Discrete Mathematics and Combinatorics

### Cite this

*Discrete Mathematics*,

*309*(6), 1517-1527. https://doi.org/10.1016/j.disc.2008.02.024

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*Discrete Mathematics*, vol. 309, no. 6, pp. 1517-1527. https://doi.org/10.1016/j.disc.2008.02.024

**A trace representation of binary Jacobi sequences.** / Dai, Zongduo; Gong, Guang; Song, Hong Yeop.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A trace representation of binary Jacobi sequences

AU - Dai, Zongduo

AU - Gong, Guang

AU - Song, Hong Yeop

PY - 2009/4/6

Y1 - 2009/4/6

N2 - We determine the trace function representation, or equivalently, the Fourier spectral sequences of binary Jacobi sequences of period p q, 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.

AB - We determine the trace function representation, or equivalently, the Fourier spectral sequences of binary Jacobi sequences of period p q, 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.

UR - http://www.scopus.com/inward/record.url?scp=62149135842&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=62149135842&partnerID=8YFLogxK

U2 - 10.1016/j.disc.2008.02.024

DO - 10.1016/j.disc.2008.02.024

M3 - Article

AN - SCOPUS:62149135842

VL - 309

SP - 1517

EP - 1527

JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 0012-365X

IS - 6

ER -