Engineering Mathematics

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Volume 3, Issue 2, December 2019

  • Z2 (Z2+uZ2)(Z2+uZ2+u2Z2)-Additive Cyclic Codes

    Zhihui Li

    Issue: Volume 3, Issue 2, December 2019
    Pages: 30-39
    Received: 14 June 2019
    Accepted: 11 October 2019
    Published: 25 October 2019
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    Abstract: In this paper, we introduce the algebraic structure of Z2 (Z2+uZ2) (Z2+uZ2+u2Z2) -additive codes and Z2 (Z2+uZ2) (Z2+uZ2+u2Z2) -additive cyclic codes. Compared to the Z2Z4Z8-additive codes, the Gray image of any Z2 (Z2+uZ2) (Z2+uZ2+u2Z2) -linear code will always be a linear binary code. Therefore, we consider the Z2 (Z2+uZ2) (Z2+uZ2+u2Z2) -additive... Show More