Linear codes with a few weights from inhomogeneous quadratic functions

February 04, 2016 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Chunming Tang, Can Xiang, Keqin Feng arXiv ID 1602.01511 Category cs.IT: Information Theory Citations 35 Venue arXiv.org Last Checked 6 months ago
Abstract
Linear codes with few weights have been an interesting subject of study for many years, as these codes have applications in secrete sharing, authentication codes, association schemes, and strongly regular graphs. In this paper, linear codes with a few weights are constructed from inhomogeneous quadratic functions over the finite field $\gf(p)$, where $p$ is an odd prime. They include some earlier linear codes as special cases. The weight distributions of these linear codes are also determined.
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