5 research outputs found

    On Codes over Zp2\mathbb{Z}_{p^2} and its Covering Radius

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    This paper gives lower and upper bounds on the covering radius of codes over Zp2\mathbb{Z}_{p^2} with respect to Lee distance. We also determine the covering radius of various Repetition codes over $\mathbb{Z}_{p^2}.

    On the ZqZ_q-MacDonald Code and its Weight Distribution of dimension 3

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    In this paper, we determine the parameters of Zq\mathbb{Z}_q-MacDonald Code of dimension k for any positive integer qβ‰₯2.q \geq 2. Further, we have obtained the weight distribution of Zq\mathbb{Z}_q-MacDonald code of dimension 3 and furthermore, we have given the weight distribution of Zq\mathbb{Z}_q-Simplex code of dimension 3 for any positive integer $q \geq 2.

    On the Covering Radius of Some Modular Codes

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    This paper gives lower and upper bounds on the covering radius of codes over Z2s\Z_{2^s} with respect to homogenous distance. We also determine the covering radius of various Repetition codes, Simplex codes (Type Ξ±\alpha and Type Ξ²\beta) and their dual and give bounds on the covering radii for MacDonald codes of both types over Z4\Z_4.Comment: revise

    On Some Classes of Z2Z4βˆ’\mathbb{Z}_{2}\mathbb{Z}_{4}-Linear Codes and their Covering Radius

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    In this paper we define Z2Z4βˆ’\mathbb{Z}_{2}\mathbb{Z}_{4}-Simplex and MacDonald Codes of type Ξ±\alpha and Ξ²\beta and we give the covering radius of these codes.Comment: arXiv admin note: text overlap with arXiv:1411.1822 by other author

    On DNA Codes using the Ring Z4 + wZ4

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    In this work, we study the DNA codes from the ring R = Z4 + wZ4, where w^2 = 2+2w with 16 elements. We establish a one to one correspondence between the elements of the ring R and all the DNA codewords of length 2 by defining a distance-preserving Gau map phi. Using this map, we give several new classes of the DNA codes which satisfies reverse and reverse complement constraints. Some of the constructed DNA codes are optimal.Comment: Revised version with new results and corrections. Submitted to ISIT 201
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