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FREE CYCLIC CODES OVER FINITE LOCAL RINGS
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 Title & Authors
FREE CYCLIC CODES OVER FINITE LOCAL RINGS
Woo, Sung-Sik;
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 Abstract
In [2] it was shown that a 1-generator quasi-cyclic code C of length n
 Keywords
free modules over a finite commutative rings;separable extension of local rings;cyclic codes over ;
 Language
English
 Cited by
1.
IDEALS OF Zpn[X]/(Xl-1),;

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

대한수학회논문집, 2013. vol.28. 1, pp.39-54 crossref(new window)
1.
On quasi-cyclic codes over $${\mathbb{Z}_q}$$, Applicable Algebra in Engineering, Communication and Computing, 2009, 20, 5-6, 459  crossref(new windwow)
2.
IDEALS OF Zpn[X]/(Xl-1), Communications of the Korean Mathematical Society, 2011, 26, 3, 427  crossref(new windwow)
3.
CYCLIC CODES OF LENGTH 2nOVER ℤ4, Communications of the Korean Mathematical Society, 2013, 28, 1, 39  crossref(new windwow)
 References
1.
M. F. Atiyah and I. G. Macdonald, Introduction to commutative algebra, Addison-Wesley, 1969

2.
N. Aydin and D. K. Ray-Chaudhuri, Quasi-cyclic codes over $Z_{4}$ and some new binary codes, IEEE Trans. Inform. Theory 48 (2002), no. 7, 2065-2069 crossref(new window)

3.
N. Bourbaki, Elements of Mathematics, Commutative Algebra, Addison-Wesley, 1972

4.
P. Kanwar and S. R. Lopez-Permouth, Cyclic codes over the integers modulo $P^{n}$ , Finite Fields Appl. 3 (1997), no. 4, 334-352 crossref(new window)

5.
S. Ling and P. Sole, On the algebraic structure of cyclic code I: finite fields, IEEE Transactions on Information Theory 47 (2001), no. 7, 2751-2760 crossref(new window)

6.
B. R. McDonald, Finite rings with identity, Marcel Dekker, 1974. Department of Mathematics, Ewha Women's University, Seoul 120-750