|
| | | | |
| | | |
| Stat |
Members: 3669
Articles: 2'599'751
Articles rated: 2609
18 March 2025 |
|
| | | | |
|
Article overview
| |
|
|
Periodic complementary sets of binary sequences | | Dragomir Z. Djokovic
; | | Date: |
1 Aug 2007 | | Abstract: | Let PCS_p^N denote a set of p binary sequences of length N such that the sum
of their periodic auto-correlation functions is a delta-function. In the 1990,
Boemer and Antweiler addressed the problem of constructing such sequences. They
presented a table covering the range p <= 12, N <= 50 and showing in which
cases it was known at that time whether such sequences exist, do not exist, or
the question of existence is undecided. The number of undecided cases was
rather large.
Subsequently the number of undecided cases was reduced to 26 by the author.
In the present note, several cyclic difference families are constructed and
used to obtain new sets of periodic binary sequences. Thereby the number of
undecided cases is reduced to just one, namely p=3 and N=48. | | Source: | arXiv, 0708.0053 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
REGISTER