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.
|Number of pages||4|
|Publication status||Published - 1998|
|Event||5th Asia-Pacific Conference Communications and 4th Optoloelectronics Communications Conference, APCC/OECC 1999 - Beijing, China|
Duration: 1999 Oct 18 → 1999 Oct 22
|Other||5th Asia-Pacific Conference Communications and 4th Optoloelectronics Communications Conference, APCC/OECC 1999|
|Period||99/10/18 → 99/10/22|
Bibliographical noteFunding Information:
This work is part of research supported by University Research Program of “Ministry of Information Communication in South Korea”.
All Science Journal Classification (ASJC) codes
- Hardware and Architecture
- Electrical and Electronic Engineering
- Computer Networks and Communications