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- W2582434266 abstract "Quasi-cyclic codes are generalizations of the familiar linear cyclic codes. By using the results of [4], the authors in [2, 3] showed that a quasi-cyclic code (mathscr {C}) over (mathbb {F}_q) of length (ell m) and index (ell ) with m being pairwise coprime to (ell ) and the characteristic of (mathbb {F}_q) is equivalent to a cyclic code if the constituent codes of (mathscr {C}) are cyclic, where q is a prime power and the equivalence is given in [3]. In this paper, we apply an algebraic method to prove that a quasi-cyclic code with cyclic constituent codes is equivalent to a cyclic code. Moreover, the main result (see Theorem 4) includes Proposition 9 in [3] as a special case." @default.
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- W2582434266 date "2017-01-01" @default.
- W2582434266 modified "2023-09-25" @default.
- W2582434266 title "Notes on Quasi-Cyclic Codes with Cyclic Constituent Codes" @default.
- W2582434266 cites W2036510569 @default.
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- W2582434266 doi "https://doi.org/10.1007/978-3-319-46310-0_12" @default.
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