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- W3033074304 abstract "<p style='text-indent:20px;'>Combinatorial <inline-formula><tex-math id=M1>begin{document}$ t $end{document}</tex-math></inline-formula>-designs have been an important research subject for many years, as they have wide applications in coding theory, cryptography, communications and statistics. The interplay between coding theory and <inline-formula><tex-math id=M2>begin{document}$ t $end{document}</tex-math></inline-formula>-designs has been attracted a lot of attention for both directions. It is well known that a linear code over any finite field can be derived from the incidence matrix of a <inline-formula><tex-math id=M3>begin{document}$ t $end{document}</tex-math></inline-formula>-design, meanwhile, that the supports of all codewords with a fixed weight in a code also may hold a <inline-formula><tex-math id=M4>begin{document}$ t $end{document}</tex-math></inline-formula>-design. In this paper, by determining the weight distribution of a class of linear codes derived from non-binary Kasami cyclic codes, we obtain infinite families of <inline-formula><tex-math id=M5>begin{document}$ 2 $end{document}</tex-math></inline-formula>-designs from the supports of all codewords with a fixed weight in these codes, and calculate their parameters explicitly.</p>" @default.
- W3033074304 created "2020-06-12" @default.
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- W3033074304 date "2021-01-01" @default.
- W3033074304 modified "2023-10-16" @default.
- W3033074304 title "Infinite families of 2-designs from a class of non-binary Kasami cyclic codes" @default.
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- W3033074304 doi "https://doi.org/10.3934/amc.2020088" @default.
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