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- W2963825574 abstract "Abstract A ternary [66, 10, 36]3-code admitting the Mathieu group M12 as a group of automorphisms has recently been constructed by N. Pace, see [N. Pace: New ternary linear codes from projectivity groups, Discrete Mathematics 331 (2014), 22-26]. We give a construction of the Pace code in terms of M12 as well as a combinatorial description in terms of the small Witt design, the Steiner system S(5, 6, 12). We also present a proof that the Pace code does indeed have minimum distance 36." @default.
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- W2963825574 date "2017-03-01" @default.
- W2963825574 modified "2023-09-24" @default.
- W2963825574 title "A combinatorial construction of an M 12 -invariant code" @default.
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- W2963825574 doi "https://doi.org/10.1016/j.endm.2017.02.011" @default.
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