On the Existence of Cyclic Hadamard Difference Sets

Hong-Yeop Song, Solomon W. Golomb

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

The main conjecture of this note is the following: if a cyclic (v = 4n - 1, k = 2n - 1, λ= n - 1) Hadmard difference set exists, the the value of v must be either a prime, or a product of “twin primes,” or one less than a power of 2. Six cases, v - 399, 495, 627, 651, 783, and 975, which were once listed as the possible exceptions for v < 1000, are now fully investigated, and all the cases of v < 10 000 are now verified relative to this conjecture, with at most 17 possible exceptions.

Original languageEnglish
Pages (from-to)1266-1268
Number of pages3
JournalIEEE Transactions on Information Theory
Volume40
Issue number4
DOIs
Publication statusPublished - 1994 Jan 1

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

Cite this