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This paper investigates skew $\Theta$-$\lambda$-constacyclic codes over $R={\bf F}_0\oplus {\bf F}_1 \oplus \cdots \oplus {\bf F}_{k-1}$, where ${\bf F}_i$'s are finite fields. The structures of skew $\lambda$-constacyclic codes over finite commutative semi-simple rings and their duals are provided. Moreover, skew $\lambda$-constacyclic codes of arbitrary length are studied under a new definition. We also show that a skew cyclic code of arbitrary length over finite commutative semi-simple rings is equivalent to either a cyclic code over $R$ or a quasi-cyclic code over $R$.
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참고문헌 (14)
참고문헌 신청
M. M. Al-Ashker / 2005 / Simplex codes over the ring F2 +uF2 / Arab. J. Sci. Eng. Sect. A Sci 30(2):277~285
A. Bonnecaze / 1999 / Cyclic codes and self-dual codes over F2 + uF2 / IEEE Trans. Inform. Theory 45(4):1250~1255
D. Boucher / 2007 / Skew-cyclic codes / Appl. Algebra Engrg. Comm. Comput 18(4):379~389
D. Boucher / 2008 / Skew constacyclic codes over Galois rings / Adv. Math. Commun 2(3):273~292
D. Boucher / 2009 / Coding with skew polynomial rings / J. Symbolic Comput 44(12):1644~1656
A. Bonnecaze / 1999 / Cyclic codes and self-dual codes over F2 + uF2 / IEEE Trans. Inform. Theory 45(4):1250~1255
D. Boucher / 2007 / Skew-cyclic codes / Appl. Algebra Engrg. Comm. Comput 18(4):379~389
D. Boucher / 2008 / Skew constacyclic codes over Galois rings / Adv. Math. Commun 2(3):273~292
D. Boucher / 2009 / Coding with skew polynomial rings / J. Symbolic Comput 44(12):1644~1656
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