IJPAM: Volume 107, No. 2 (2016)

ON THE COVERING RADIUS OF MELAS CODES

Jingjing Gu$^1$, Xiwang Cao$^2$
$^{1,2}$College of Science
Nanjing University of Aeronautics and Astronautics
Jiangsu, 210016, P.R. CHINA


Abstract. Let $\mathbb{F}_q$ be the finite field of $q(=2^m)$ elements, $\mathcal{C}_{1,-1}$ the Melas code over $\mathbb{F}_q$. In this note, we show that the covering radius of $\mathcal{C}_{1,-1}$ is $3$ if $q>8$.

Received: February 19, 2016

AMS Subject Classification: 94B15, 94B75

Key Words and Phrases: covering radius, character sum, cyclic code, Melas code

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DOI: 10.12732/ijpam.v107i2.16 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 2
Pages: 479 - 485


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