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CYCLIC CODES OF LENGTH 2n OVER Z4
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초록
The purpose of this paper is to find a description of the cycliccodes of length 2n over Z4. We show that any ideal of Z4[X]/(X2n− 1)is generated by at most two polynomials of the standard forms. We alsofind an explicit description of their duals in terms of the generators.
Abstract
The purpose of this paper is to find a description of the cycliccodes of length 2n over Z4. We show that any ideal of Z4[X]/(X2n− 1)is generated by at most two polynomials of the standard forms. We alsofind an explicit description of their duals in terms of the generators.
참고문헌 (7)
- M. F. Atiyah, "Introduction to Commutative algebra" (1969), Addison-Wesley
- S. T. Dougherty, "On modular cyclic codes", Finite Fields Appl., 13(1), pp.31~57 (2007)
- P. Kanwar, "Cyclic codes over the integers modulo pm", Finite Fields Appl., 3(4), pp.334~352 (1997)
- Bernard R. McDonald, "Finite Rings with Identity" (1974), Marcel Dekker
- 우성식, "Free cyclic codes over finite local rings", 대한수학회보, 43(4), pp.723~735 (2006), 대한수학회
- "((X^l)-1)", 대한수학회논문집, 26(3), pp.427~443 (2011), 대한수학회
- 우성식, "Cyclic Codes of Even Length over $\mathbb Z_4$", 대한수학회지, 44(3), pp.697~706 (2007), 대한수학회
관련 논문AI추천
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