On the correlation distribution of the generalized maximal length ℤ4-sequences
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- 作者：Lisha Wang ; Xiaohu Tang
- 关键词：Correlation distribution ; Galois ring ; ℤ4 ; sequence ; ℤ4 ; valued quadratic form
- 刊名：Cryptography and Communications
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：9
- 期：2
- 页码：199-215
- 全文大小：
- 刊物类别：Computer Science
- 刊物主题：Data Structures, Cryptology and Information Theory; Coding and Information Theory; Communications Engineering, Networks; Information and Communication, Circuits; Mathematics of Computing;
- 出版者：Springer US
- ISSN：1936-2455
- 卷排序：9
文摘
A family of maximal length ℤ4-sequences was proposed by Tang, Udaya and Fan in 2005 by using binary sequences based on quadratic forms over finite fields, and was shown to possess low correlation property. However, its correlation distribution still remains open. In this paper, the maximal length ℤ4-sequences constructed by Tang, Udaya and Fan are equivalently expressed as another form via ℤ4-valued quadratic forms and then the correlation distribution is completely determined from the approach of ℤ4-valued quadratic forms.