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• W2945755178 abstract "Minimal linear codes are a special subclass of linear codes and have significant applications in secret sharing and secure two-party computation. In this paper, we focus on constructing minimal linear codes with (w <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>min</sub> )/(w <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>max</sub> ) ≤ (p-1)/p for any odd prime p based on a generic construction of linear codes, where w <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>min</sub> and w <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>max</sub> denote the minimum and maximum nonzero weights in a code, respectively. First, we present two new infinite families of minimal linear codes with two or three weights by selecting suitable subcode of linear codes which are not minimal. Second, we also present an infinite family of minimal linear codes by employing partial spreads, which can be viewed as a generalization of the construction of Ding et al. In addition, we determine the weight distributions of all these minimal linear codes." @default.
• W2945755178 created "2019-05-29" @default.
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• W2945755178 date "2019-11-01" @default.
• W2945755178 modified "2023-10-15" @default.
• W2945755178 title "Three Classes of Minimal Linear Codes Over the Finite Fields of Odd Characteristic" @default.
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• W2945755178 doi "https://doi.org/10.1109/tit.2019.2918537" @default.
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