A trace representation of binary Jacobi sequences

Zongduo Dai; Guang Gong; Hong Yeop Song

doi:10.1016/j.disc.2008.02.024

A trace representation of binary Jacobi sequences

Zongduo Dai, Guang Gong, Hong Yeop Song

Department of Electrical and Electronic Engineering

Research output: Contribution to journal › Article › peer-review

24 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 language	English
Pages (from-to)	1517-1527
Number of pages	11
Journal	Discrete Mathematics
Volume	309
Issue number	6
DOIs	https://doi.org/10.1016/j.disc.2008.02.024
Publication status	Published - 2009 Apr 6

Bibliographical note

Funding Information:
Zongduo Dai and Hong-Yeop Song wish to acknowledge Prof. Guang Gong of University of Waterloo who invited them to visit University of Waterloo from July 1 to August 30, 2002, and from Jan. 17 to Feb. 7, 2004, respectively. Zongduo Dai’s work was supported by National Natural Science Foundation of CHINA (Grant No. 60173016), and the National 973 Project (Grant No. 1999035804), Guang Gong’s work is supported by NSERC, CANADA, and Hong-Yeop Song’s work was supported by the grant (R01-2003-000-10330-0) from the Basic Research Program of the Korea Science & Engineering Foundation, KOREA.

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics

Access to Document

10.1016/j.disc.2008.02.024

Cite this

@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}",

note = "Funding Information: Zongduo Dai and Hong-Yeop Song wish to acknowledge Prof. Guang Gong of University of Waterloo who invited them to visit University of Waterloo from July 1 to August 30, 2002, and from Jan. 17 to Feb. 7, 2004, respectively. Zongduo Dai{\textquoteright}s work was supported by National Natural Science Foundation of CHINA (Grant No. 60173016), and the National 973 Project (Grant No. 1999035804), Guang Gong{\textquoteright}s work is supported by NSERC, CANADA, and Hong-Yeop Song{\textquoteright}s work was supported by the grant (R01-2003-000-10330-0) from the Basic Research Program of the Korea Science & Engineering Foundation, KOREA. ",

year = "2009",

month = apr,

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",

}

TY - JOUR

T1 - A trace representation of binary Jacobi sequences

AU - Dai, Zongduo

AU - Gong, Guang

AU - Song, Hong Yeop

N1 - Funding Information: Zongduo Dai and Hong-Yeop Song wish to acknowledge Prof. Guang Gong of University of Waterloo who invited them to visit University of Waterloo from July 1 to August 30, 2002, and from Jan. 17 to Feb. 7, 2004, respectively. Zongduo Dai’s work was supported by National Natural Science Foundation of CHINA (Grant No. 60173016), and the National 973 Project (Grant No. 1999035804), Guang Gong’s work is supported by NSERC, CANADA, and Hong-Yeop Song’s work was supported by the grant (R01-2003-000-10330-0) from the Basic Research Program of the Korea Science & Engineering Foundation, KOREA.

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

SN - 0012-365X

VL - 309

SP - 1517

EP - 1527

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 6

ER -

A trace representation of binary Jacobi sequences

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this