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Odd perfect sequences and sets of spreading sequences with zero or low odd periodic correlation zone. (English) Zbl 1290.94036

Helleseth, Tor (ed.) et al., Sequences and their applications – SETA 2012. 7th international conference, Waterloo, ON, Canada, June 4–8, 2012. Proceedings. Berlin: Springer (ISBN 978-3-642-30614-3/pbk). Lecture Notes in Computer Science 7280, 1-12 (2012).
Summary: In this paper, we apply shift sequences defined by difference balanced function with \(d\)-form property to construct (almost) perfect or odd perfect sequences, which is a generalization of the construction given by E. I. Krengel [Sequences and their applications – SETA 2004. Third international conference. Lect. Notes Comput. Sci. 3486, 197–207 (2005; Zbl 1145.94423)]. We then propose new signal sets with flexible parameters and zero odd periodic correlation zone or low odd periodic correlation zone property, by interleaving an odd perfect sequence or a sequence with low odd periodic correlation. Furthermore, we show that the parameters of some constructed signal sets are optimal with respect to the odd periodic correlation bound.
For the entire collection see [Zbl 1245.94009].

MSC:

94A55 Shift register sequences and sequences over finite alphabets in information and communication theory

Citations:

Zbl 1145.94423
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