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- W4320458616 abstract "A code $C$ is called $Z_pZ_{p^2}$-linear if it is the Gray image of a $Z_pZ_{p^2}$-additive code, where $p>2$ is prime. In this paper, the rank and the dimension of the kernel of $Z_pZ_{p^2}$-linear codes are studied. Two bounds of the rank of a $Z_3Z_{9}$-linear code and the dimension of the kernel of a $Z_pZ_{p^2}$-linear code are given, respectively. For each value of these bounds, we give detailed construction of the corresponding code. Finally, pairs of rank and the dimension of the kernel of $Z_3Z_{9}$-linear codes are also considered." @default.
- W4320458616 created "2023-02-14" @default.
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- W4320458616 date "2022-05-27" @default.
- W4320458616 modified "2023-10-16" @default.
- W4320458616 title "$mathbb{Z}_pmathbb{Z}_{p^2}$-linear codes: rank and kernel" @default.
- W4320458616 doi "https://doi.org/10.48550/arxiv.2205.13981" @default.
- W4320458616 hasPublicationYear "2022" @default.
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