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New family of p-ary sequences with optimal correlation property and large linear span

โœ Scribed by Jang, J.-W.; Young-Sik Kim; Jong-Seon No; Helleseth, T.


Book ID
114638385
Publisher
IEEE
Year
2004
Tongue
English
Weight
297 KB
Volume
50
Category
Article
ISSN
0018-9448

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New nonbinary sequence families with low
โœ Zhengchun Zhou; Xiaohu Tang ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 225 KB

Let p be an odd prime and n = (2m + 1)e. Based on the theory of quadratic forms over finite fields of odd characteristic, we generalize the binary construction by Yu and Gong to p-ary case. As a result, we obtain a new family F k o (ฯ) of p-ary sequences of period p n -1 for arbitrary positive integ