A Class of Linear Codes with a Few Weights
December 22, 2015 Β· Declared Dead Β· π Cryptography and Communications
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Authors
Can Xiang, Chunming Tang, Keqin Feng
arXiv ID
1512.07103
Category
cs.IT: Information Theory
Citations
12
Venue
Cryptography and Communications
Last Checked
4 months ago
Abstract
Linear codes have been an interesting subject of study for many years, as linear codes with few weights have applications in secrete sharing, authentication codes, association schemes, and strongly regular graphs. In this paper, a class of linear codes with a few weights over the finite field $\gf(p)$ are presented and their weight distributions are also determined, where $p$ is an odd prime. Some of the linear codes obtained are optimal in the sense that they meet certain bounds on linear codes.
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