1. FEW-WEIGHT CODES FROM TRACE CODES OVER $R_{k}$.
- Author
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SHI, MINJIA, GUAN, YUE, WANG, CHENCHEN, and SOLÉ, PATRICK
- Subjects
- *
GEOMETRIC topology , *MATHEMATICAL singularities , *LOGICAL prediction , *MANIFOLDS (Mathematics) , *DIFFERENTIAL geometry - Abstract
We construct two families of few-weight codes for the Lee weight over the ring $R_{k}$ based on two different defining sets. For the first defining set, taking the Gray map, we obtain an infinite family of binary two-weight codes which are in fact $2^{k}$ -fold replicated MacDonald codes. For the second defining set, we obtain two infinite families of few-weight codes. These few-weight codes can be used to implement secret-sharing schemes. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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