A trace representation of binary Jacobi sequences

Zongduo Dai, Guang Gong, Hong Yeop Song

Research output: Contribution to journalArticle

21 Citations (Scopus)

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 languageEnglish
Pages (from-to)1517-1527
Number of pages11
JournalDiscrete Mathematics
Volume309
Issue number6
DOIs
Publication statusPublished - 2009 Apr 6

Fingerprint

Binary sequences
Jacobi
Trace
Twin primes
Trace Function
Binary
Difference Set
Spectral Sequence
Odd
Distinct

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

Cite this

Dai, Zongduo ; Gong, Guang ; Song, Hong Yeop. / A trace representation of binary Jacobi sequences. In: Discrete Mathematics. 2009 ; Vol. 309, No. 6. pp. 1517-1527.
@article{7470e17fde884f60a37222a7121e78cd,
title = "A trace representation of binary Jacobi sequences",
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.",
author = "Zongduo Dai and Guang Gong and Song, {Hong Yeop}",
year = "2009",
month = "4",
day = "6",
doi = "10.1016/j.disc.2008.02.024",
language = "English",
volume = "309",
pages = "1517--1527",
journal = "Discrete Mathematics",
issn = "0012-365X",
publisher = "Elsevier",
number = "6",

}

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

In: Discrete Mathematics, Vol. 309, No. 6, 06.04.2009, p. 1517-1527.

Research output: Contribution to journalArticle

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 -