# New Sets of Binary and Ternary Sequences with Low Correlation

@inproceedings{Krengel2004NewSO, title={New Sets of Binary and Ternary Sequences with Low Correlation}, author={Evgeny I. Krengel and Andrew Z. Tirkel and Thomas E. Hall}, booktitle={SETA}, year={2004} }

New binary and ternary sequences with low correlation and simple implementation are presented. The sequences are unfolded from arrays, whose columns are cyclic shifts of a short sequence or constant columns and whose shift sequence (sequence of column shifts) has the distinct difference property. It is known that a binary m-sequence/GMW sequence of length 2$^{\rm 2{\it m}}$ – 1 can be folded row-by-row into an array of 2m – 1 rows of length 2m + 1. We use this to construct new arrays which have…

## 4 Citations

### A New Class of Binary Sequence Family with Low Correlation and Large Linear Complexity

- Computer Science2007 3rd International Workshop on Signal Design and Its Applications in Communications
- 2007

The correlation property of the proposed sequence family is a little weak towards Welch bound, however, the linear complexity of each sequence is high, some of which can even reach p(p + 2).

### Matrix construction using cyclic shifts of a column

- Computer ScienceProceedings. International Symposium on Information Theory, 2005. ISIT 2005.
- 2005

The synthesis of matrices with good correlation, from cyclic shifts of pseudonoise columns, from shift sequences of m-arrays to produce arrays for watermarking of digital images is described.

### Arrays composed from the extended rational cycle

- Computer ScienceAdv. Math. Commun.
- 2017

A unified method of obtaining multivariate recursion polynomials and their footprints for all finite multidimensional arrays and shows that the size of the footprint is invariant under dimensional transformations based on the Chinese Remainder Theorem.

### Sequence Sets in Wireless Communication Systems: A Survey

- Computer ScienceIEEE Communications Surveys & Tutorials
- 2017

The properties of orthogonal sequences and their relationships that make them attractive to be used in communication systems are described and some ideas to motivate research to improve those properties are offered.

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