DocumentCode
1205901
Title
On the existence of cyclic Hadamard difference sets
Author
Song, Hong Y. ; Golomb, Solomon W.
Author_Institution
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
Volume
40
Issue
4
fYear
1994
fDate
7/1/1994 12:00:00 AM
Firstpage
1266
Lastpage
1268
Abstract
The main conjecture of this article is the following: if a cyclic (v=4n-1, k=2n-1, λ=n-1) Hadamard 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<10000 are now verified relative to this conjecture, with at most 17 possible exceptions
Keywords
binary sequences; correlation theory; set theory; binary sequences; cyclic Hadamard difference sets; periodic autocorrelation function; Autocorrelation; Binary sequences; Books; Computer science; Digital communication; Error correction; Error correction codes; Linear systems; Multiaccess communication; Random processes;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.335939
Filename
335939
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