2020
DOI: 10.48550/arxiv.2006.00457
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Construction of MDS Euclidean Self-Dual Codes via Two Subsets

Abstract: The parameters of a q-ary MDS Euclidean self-dual codes are completely determined by its length and the construction of MDS Euclidean self-dual codes with new length has been widely investigated in recent years. In this paper, we give a further study on the construction of MDS Euclidean self-dual codes via generalized Reed-Solomon (GRS) codes and their extended codes. The main idea of our construction is to choose suitable evaluation points such that the corresponding (extended) GRS codes are Euclidean self-du… Show more

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“…Since then, GRS codes have become one of the most commonly used tools for constructing MDS Euclidean self-dual codes. In [11] and [12], Fang et al used two subsets to make the forms of lengths more variable. In the following Table 1, we summarize some known results in this field.…”
Section: Mathematics Subject Classification (2010) 94b05 • 81q99 1 In...mentioning
confidence: 99%
“…Since then, GRS codes have become one of the most commonly used tools for constructing MDS Euclidean self-dual codes. In [11] and [12], Fang et al used two subsets to make the forms of lengths more variable. In the following Table 1, we summarize some known results in this field.…”
Section: Mathematics Subject Classification (2010) 94b05 • 81q99 1 In...mentioning
confidence: 99%