Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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CYCLIC CODES OF LENGTH 2n OVER ℤ4

  • Woo, Sung Sik (Department of Mathematics Ewha Women's University)
  • Received : 2012.01.12
  • Published : 2013.01.31
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Abstract

The purpose of this paper is to find a description of the cyclic codes of length $2^n$ over $\mathbb{Z}_4$. We show that any ideal of $\mathbb{Z}_4$[X]/($X^{2n}$ - 1) is generated by at most two polynomials of the standard forms. We also find an explicit description of their duals in terms of the generators.

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References

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