Minimal linear codes constructed from functions
Minimal linear codes constructed from functions
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DOI：
10.1007/s12095-021-00553-4
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发表时间：
2019-11
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通讯作者：
Xia Wu;Wei Lu;X. Cao
中科院分区：
文献类型：
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作者：
Xia Wu;Wei Lu;X. Cao
In this paper, we consider minimal linear codes by a general construction of linear codes fromq-ary functions. First, we give necessary and sufficient conditions for codewords which are constructed by functions to be minimal. Second, as applications, we present three constructions of minimal linear codes. Constructions on minimal linear codes in this paper generalize some recent results in Ding et al. (IEEE Trans. Inf. Theory64(10), 6536–6545, ); Heng et al. (Finite Fields Appl.54, 176–196, ); Bartoli and Bonini (IEEE Trans. Inf. Theory65(7), 4152–4155, ); Mesnager et al. (IEEE Trans. Inf. Theory66(9), 5404–5413, ); Bonini and Borello (J. Algebraic Comb.53, 327–341, ). In our three constructions, the conditions of functions are much looser than theirs.
