Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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CYCLIC CODES OF EVEN LENGTH OVER Z4

  • Woo, Sung-Sik (DEPARTMENT OF MATHEMATICS EWHA WOMEN'S UNIVERSITY)
  • Published : 2007.05.31
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Abstract

In [8], we showed that any ideal of $\mathbb{Z}_4[X]/(X^{2^n}-1)$ is generated by at most two polynomials of the standard forms. The purpose of this paper is to find a description of the cyclic codes of even length over $\mathbb{Z}_4$ namely the ideals of $\mathbb{Z}_4[X]/(X^l\;-\;1)$, where $l$ is an even integer.

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References

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  2. IDEALS OF Zpn[X]/(Xl-1) vol.26, pp.3, 2011, https://doi.org/10.4134/CKMS.2011.26.3.427
  3. THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS I vol.46, pp.2, 2009, https://doi.org/10.4134/JKMS.2009.46.2.295