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• W2425228145 abstract "In this paper, we mainly determine the weight distributions of three classes of linear codes. Firstly, we prove that two classes of ternary linear codes from the following two planar functions have two or three weights: f(x)=x3k+12,x∈F3m, where k,m are odd, gcd(m,k)=1, and f(x)=x3k+1,x∈F3m, where mgcd(m,k) is odd. They are exactly a part of the open problem in Ding and Ding (2015 Section IV). Secondly, we construct a new class of binary linear codes with three weights. In particular, the linear codes in this paper have applications in consumer electronics, communication and secret sharing schemes." @default.
• W2425228145 created "2016-06-24" @default.
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• W2425228145 date "2016-11-01" @default.
• W2425228145 modified "2023-10-16" @default.
• W2425228145 title "Three classes of linear codes with two or three weights" @default.
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• W2425228145 doi "https://doi.org/10.1016/j.disc.2016.05.033" @default.
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