CYCLIC CODES OF EVEN LENGTH OVER Z4

Title & Authors
CYCLIC CODES OF EVEN LENGTH OVER Z4
Woo, Sung-Sik;

Abstract
In [8], we showed that any ideal of $\small{\mathbb{Z}_4[X]/(X^{2^n}-1)}$ 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 $\small{\mathbb{Z}_4}$ namely the ideals of $\small{\mathbb{Z}_4[X]/(X^l\;-\;1)}$, where $\small{l}$ is an even integer.
Keywords
cyclic code of even length over $\small{\mathbb{Z}_4}$;
Language
English
Cited by
1.
THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS I,;

대한수학회지, 2009. vol.46. 2, pp.295-311
2.
IDEALS OF Zpn[X]/(Xl-1),;

대한수학회논문집, 2011. vol.26. 3, pp.427-443
3.
CYCLIC CODES OF LENGTH 2n OVER ℤ4,;

대한수학회논문집, 2013. vol.28. 1, pp.39-54
1.
CYCLIC CODES OF LENGTH 2nOVER ℤ4, Communications of the Korean Mathematical Society, 2013, 28, 1, 39
2.
IDEALS OF Zpn[X]/(Xl-1), Communications of the Korean Mathematical Society, 2011, 26, 3, 427
3.
THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS I, Journal of the Korean Mathematical Society, 2009, 46, 2, 295
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