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Weight hierarchies and weight distributions of a familiy of $p$-ary linear codes
March 06, 2020 Β· Declared Dead Β· π Designs, Codes and Cryptography
"No code URL or promise found in abstract"
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Authors
Fei Li, Xiumei Li
arXiv ID
2003.03048
Category
cs.IT: Information Theory
Cross-listed
math.NT
Citations
15
Venue
Designs, Codes and Cryptography
Last Checked
4 months ago
Abstract
The weight distribution and weight hierarchy of linear codes are two important research topics in coding theory. In this paper, by choosing proper defining sets from inhomogeneous quadratic functions over $\mathbb{F}_{q}^{2},$ we construct a family of $3$-weight $p$-ary linear codes and determine their weight distributions and weight hierarchies. Most of the codes can be used in secret sharing schemes.
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