On the existence of cyclic Hadamard difference sets

Jeong Heon Kim, Hong Yeop Song

Research output: Contribution to conferencePaper

1 Citation (Scopus)

Abstract

Every known cyclic Hadamard difference set has one of three types of v:(1) v=4n-1 is a prime. (2) v is a product of twin primes. (3) v=2n-1 for n=2,3,.. It is conjectured that all the cyclic Hadamard difference sets have parameter v which falls into one of the three types. The conjecture has been previously confirmed for n<10000 except for 17 cases not fully investigated. In this paper, four smallest cases among these 17 cases are examined and confirmed the conjecture for all vles/3435.

Original languageEnglish
Pages743-746
Number of pages4
DOIs
Publication statusPublished - 1998 Jan 1
Event5th Asia-Pacific Conference Communications and 4th Optoloelectronics Communications Conference, APCC/OECC 1999 - Beijing, China
Duration: 1999 Oct 181999 Oct 22

Other

Other5th Asia-Pacific Conference Communications and 4th Optoloelectronics Communications Conference, APCC/OECC 1999
CountryChina
CityBeijing
Period99/10/1899/10/22

All Science Journal Classification (ASJC) codes

  • Hardware and Architecture
  • Electrical and Electronic Engineering
  • Communication
  • Computer Networks and Communications

Cite this

Kim, J. H., & Song, H. Y. (1998). On the existence of cyclic Hadamard difference sets. 743-746. Paper presented at 5th Asia-Pacific Conference Communications and 4th Optoloelectronics Communications Conference, APCC/OECC 1999, Beijing, China. https://doi.org/10.1109/APCC.1999.825007
Kim, Jeong Heon ; Song, Hong Yeop. / On the existence of cyclic Hadamard difference sets. Paper presented at 5th Asia-Pacific Conference Communications and 4th Optoloelectronics Communications Conference, APCC/OECC 1999, Beijing, China.4 p.
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Kim, JH & Song, HY 1998, 'On the existence of cyclic Hadamard difference sets', Paper presented at 5th Asia-Pacific Conference Communications and 4th Optoloelectronics Communications Conference, APCC/OECC 1999, Beijing, China, 99/10/18 - 99/10/22 pp. 743-746. https://doi.org/10.1109/APCC.1999.825007

On the existence of cyclic Hadamard difference sets. / Kim, Jeong Heon; Song, Hong Yeop.

1998. 743-746 Paper presented at 5th Asia-Pacific Conference Communications and 4th Optoloelectronics Communications Conference, APCC/OECC 1999, Beijing, China.

Research output: Contribution to conferencePaper

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Kim JH, Song HY. On the existence of cyclic Hadamard difference sets. 1998. Paper presented at 5th Asia-Pacific Conference Communications and 4th Optoloelectronics Communications Conference, APCC/OECC 1999, Beijing, China. https://doi.org/10.1109/APCC.1999.825007