Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Durairajan C"'
In this paper, we introduce a additive Tridiagonal and Double-Tridiagonal codes over $\mathbb{F}_4$ and then we study the properties of the code. Also, we find the number of additive Tridiagonal codes over $\mathbb{F}_4.$ Finally, we study the applic
Externí odkaz:
http://arxiv.org/abs/2104.05405
Autor:
Annamalai, N., Durairajan, C
In this paper, we examine the binary linear codes with respect to Hamming metric from incidence matrix of a unit graph $G(\mathbb{Z}_{n})$ with vertex set is $\mathbb{Z}_{n}$ and two distinct vertices $x$ and $y$ being adjacent if and only if $x+y$ i
Externí odkaz:
http://arxiv.org/abs/2011.04914
Autor:
Annamalai, N., Durairajan, C
In this paper, we examine the linear codes with respect to the Hamming metric from incidence matrices of the zero-divisor graphs with vertex set is the set of all non-zero zero-divisors of the ring $\mathbb{Z}_n$ and two distinct vertices being adjac
Externí odkaz:
http://arxiv.org/abs/2011.01602
Autor:
Annamalai, N., Durairajan, C.
In this article, we introduce and study the concept of the exponent of a cyclic code over a finite field $\mathbb{F}_q.$ We give a relation between the exponent of a cyclic code and its dual code. Finally, we introduce and determine the exponent dist
Externí odkaz:
http://arxiv.org/abs/2009.11607
Autor:
Annamalai, N., Durairajan, C.
This paper gives lower and upper bounds on the covering radius of codes over $\mathbb{Z}_{p^2}$ with respect to Lee distance. We also determine the covering radius of various Repetition codes over $\mathbb{Z}_{p^2}.$
Externí odkaz:
http://arxiv.org/abs/1711.01803
Autor:
Annamalai, N., Durairajan, C.
In this paper, we study a relative two-weight $\mathbb{Z}_2 \mathbb{Z}_4$-additive codes. It is shown that the Gray image of a two-distance $\mathbb{Z}_2 \mathbb{Z}_4$-additive code is a binary two-distance code and that the Gray image of a relative
Externí odkaz:
http://arxiv.org/abs/1609.09669
Autor:
Annamalai, N., Durairajan, C.
In this paper, we study the algebraic structure of Z_2[u]Z_2[u, v]-additive codes which are Z_2[u, v]-submodules where u^2 = v^2 = 0 and uv = vu. In particular, we determine a Gray map from Z_2[u]Z_2 [u, v] to Z_2^{2{\alpha}+8\b{eta}} and study gener
Externí odkaz:
http://arxiv.org/abs/1601.04859
Autor:
Mahalakshmi, J., Durairajan, C.
In this paper, we determine the parameters of $\mathbb{Z}_q$-MacDonald Code of dimension k for any positive integer $q \geq 2.$ Further, we have obtained the weight distribution of $\mathbb{Z}_q$-MacDonald code of dimension 3 and furthermore, we have
Externí odkaz:
http://arxiv.org/abs/1505.05642
Autor:
Pandian, P. Chella, Durairajan, C.
In this paper, we defined the $Z_q$-linear codes and discussed its various parameters. We constructed $Z_q$-Simplex code and $Z_q$-MacDonald code and found its parameters. We have given a lower and an upper bounds of its covering radius for q is an e
Externí odkaz:
http://arxiv.org/abs/1503.05704
Autor:
Gupta, Manish. K., Durairajan, C.
This paper gives lower and upper bounds on the covering radius of codes over $\Z_{2^s}$ with respect to homogenous distance. We also determine the covering radius of various Repetition codes, Simplex codes (Type $\alpha$ and Type $\beta$) and their d
Externí odkaz:
http://arxiv.org/abs/1206.3038