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arxiv: 1704.07162 · v1 · pith:XVWT5DTAnew · submitted 2017-04-24 · 💻 cs.IT · math.IT

Z2Z4Z8-Cyclic Codes

classification 💻 cs.IT math.IT
keywords codesz2z4z8-additivez2z4z8-cyclicgeneratordetermineexamplesextensionforms
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In this paper we study Z2Z4Z8-additive codes, which are the extension of recently introduced Z2Z4-additive codes. We determine the standard forms of the generator and parity-check matrices of Z2Z4Z8-additive codes. Moreover, we investigate Z2Z4Z8-cyclic codes giving their generator polynomials and spanning sets. We also give some illustrative examples of both Z2Z4Z8-additive codes and Z2Z4Z8-cyclic codes.

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