The Pace code, the Mathieu group M12 and the small Witt design S(5,6,12)
Document Type
Article
Publication Date
6-2017
Department
Department of Mathematical Sciences
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 Pace (2014). 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.
Publication Title
Discrete Mathematics
Recommended Citation
Bierbrauer, J.,
Marcugini, S.,
&
Pambianco, F.
(2017).
The Pace code, the Mathieu group M12 and the small Witt design S(5,6,12).
Discrete Mathematics,
340(6), 1187-1190.
http://doi.org/10.1016/j.disc.2016.12.018
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/6294
