Difference Sets and Sequences
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 2A
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Let $G$ be a group of order $v$. A $k$-element subset $D$ of $G$ is called a $(v,k,\lambda)$-difference set in $G$ if for any nonidentity element $g\in G$, there are $\lambda$ pairs of elements $d_1,d_2\in D$ such that $d_1d_2^{-1}=g$. It is well-known that difference sets can be used to construct sequences used in digital communication. This paper is a survey on the recent developments of using difference sets and their variations to construct sequences with good auto-corrections or good cross-correlations.
Classification :
Primary: 05B10, 94A99.
Siu Lun Ma. Difference Sets and Sequences. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 2A. http://geodesic.mathdoc.fr/item/BMMS_2012_35_2A_a1/
@article{BMMS_2012_35_2A_a1,
author = {Siu Lun Ma},
title = {Difference {Sets} and {Sequences}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2012},
volume = {35},
number = {2A},
url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_2A_a1/}
}