Quaternary Codes and Biphase Sequences from \mathbb{Z}_8-Codes

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• 作者：Zinoviev ; D. V. ; Solé ; P.
• 刊名：Problems of Information Transmission
• 出版年：2004
• 出版时间：2004
• 年：2004
• 卷：40
• 期：2
• 页码：147-158
• 全文大小：167 KB
• 刊物类别：Engineering
• 刊物主题：Communications Engineering and Networks
  Electronic and Computer Engineering
  Information Storage and Retrieval
  Systems Theory and Control
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1608-3253

文摘

Composing the Carlet map with the inverse Gray map, a new family of cyclic quaternary codes is constructed from 5-cyclic $\backslash mathbb\{Z\}\_8$-codes. This new family of codes is inspired by the quaternary Shanbag–Kumar–Helleseth family, a recent improvement on the Delsarte–Goethals family. We conjecture that these $\backslash mathbb\{Z\}\_4$-codes are not linear. As applications, we construct families of low-correlation quadriphase and biphase sequences.