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Two-weight and three-weight linear codes based on Weil sums
December 21, 2016 Β· Declared Dead Β· π Finite Fields Their Appl.
"No code URL or promise found in abstract"
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Authors
Gaopeng Jian
arXiv ID
1612.07060
Category
cs.IT: Information Theory
Citations
50
Venue
Finite Fields Their Appl.
Last Checked
5 months ago
Abstract
Linear codes with few weights have applications in secret sharing, authentication codes, association schemes and strongly regular graphs. In this paper, several classes of two-weight and three-weight linear codes are presented and their weight distributions are determined using Weil sums. Some of the linear codes obtained are optimal or almost optimal with respect to the Griesmer bound.
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