Conference
Authors: | Rizomiliotis P., Kalouptsidis N. |
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Title: | Result on the nonlinear span of binary sequences |
Conference: | 2004 IEEE International Symposium on Information Theory |
Editors: | |
Ed: | No |
Eds: | No |
Pages: | 124 |
To appear: | No |
Month: | June |
Year: | 2004 |
Place: | Chicago, IL USA |
Pubisher: | IEEE Press |
Link: | |
File name: | |
Abstract: | A new family of balanced sequences over Fp, p odd prime, with optimal correlation property is presented. The construction is based on p-ary Helleseth-Gong sequences with ideal autocorrelation. The family contains pn balanced sequences of period N = p2n − 1. The correlation spectrum peak nontrivial value does not exceed 1 + pn, i.e. it is optimal in terms of Welch’s lower bound. The linear span of the sequences is 2n( n k + 2), where k is a divisor of n such that n/k is odd. |