Scheduled System Maintenance on May 29th, 2015:
IEEE Xplore will be upgraded between 11:00 AM and 10:00 PM EDT. During this time there may be intermittent impact on performance. We apologize for any inconvenience.
By Topic

On the crosscorrelation of sequences over GF(p) with short periods

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Muller, E.N. ; Fakultat fur Math., Otto-von-Guericke-Univ., Magdeburg, Germany

We investigate the crosscorrelation function Cd(t)=Σi=1 (pn-1) ζ(ai-t-adi), where ζ is a complex primitive pth root of unity, (ai)(i∈N0) is a maximal linear shift-register sequence of length pn-1, and p is an odd prime. For p=3, n odd, and d=pn+1/4+pn-1/2 we show that 2·√pn is an upper bound for the absolute value of 1+Cd(t). For any odd prime p and pk+1, where n/gcd/(n,k) is not divisible by 4 we determine the maximum absolute value of Cd(t) and the number of values of Cd(t)

Published in:

Information Theory, IEEE Transactions on  (Volume:45 ,  Issue: 1 )