Some results about double cyclic codes over 𝔽_q+v𝔽_q+v^2𝔽_q

03/10/2021

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by   Tenghui Deng, et al.

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Let 𝔽_q be the finite field with q elements. This paper mainly researches the polynomial representation of double cyclic codes over 𝔽_q+v𝔽_q+v^2𝔽_q with v^3=v. Firstly, we give the generating polynomials of these double cyclic codes. Secondly, we show the generating matrices of them. Meanwhile, we get quantitative information related to them by the matrix forms. Finally, we investigate the relationship between the generators of double cyclic codes and their duals.