A new family of ternary sequences with ideal two-level autocorrelation function

Helleseth, Tor ; Vijay Kumar, P. ; Martinsen, Halvard (2001) A new family of ternary sequences with ideal two-level autocorrelation function Designs, Codes and Cryptography, 23 (2). pp. 157-166. ISSN 0925-1022

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Official URL: https://link.springer.com/article/10.1023/A%3A1011...

Related URL: http://dx.doi.org/10.1023/A:1011208514883

Abstract

Let α be a primitive element of F₃n. Let d=3^2k-3^k+1 where n=3k. We show that the ternary sequence s(t) given bys(t)=Trn(α^t+α^dt)has a two-level idealautocorrelation function.

Item Type:	Article
Source:	Copyright of this article belongs to Springer Verlag.
Keywords:	Sequences; Ideal Autocorrelation; two-Level Autocorrelation
ID Code:	110186
Deposited On:	31 Jan 2018 09:59
Last Modified:	31 Jan 2018 09:59

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