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August  2017, 11(3): 445-452. doi: 10.3934/amc.2017037

## Integer-valued Alexis sequences with large zero correlation zone

 Department of Electronic Engineering, Southern Taiwan University of Science and Technology, No. 1, Nan-Tai Street, Yungkang Dist., Tainan City 710, Taiwan

Received  January 2015 Revised  February 2016 Published  August 2017

In this paper, a new class of integer-valued Alexis sequences with length N = 2 (mod 4) is proposed and constructed by using integer-valued almost-perfect sequences obtained from three integer-valued elementary sequences. Compared with binary Alexis sequences, the proposed integer-valued Alexis sequences have a larger zero correlation zone (ZCZ). In addition, the maximal energy efficiency of the proposed sequences is investigated.

Citation: Wei-Wen Hu. Integer-valued Alexis sequences with large zero correlation zone. Advances in Mathematics of Communications, 2017, 11 (3) : 445-452. doi: 10.3934/amc.2017037
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##### References:
Comparisons of ZCZ between binary and proposed sequences
 $N_a$ binary Alexis sequences [1] integer-valued Alexis sequences 10 4 5 14 5 6 18 7 8 22 8 10 26 8 12 30 unknown 14
 $N_a$ binary Alexis sequences [1] integer-valued Alexis sequences 10 4 5 14 5 6 18 7 8 22 8 10 26 8 12 30 unknown 14
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