The sporadic Mathieu group M12 can be viewed as an error-correcting code, where the codewords are the group's elements written as permutations in list form, and with the usual Hamming distance. We investigate the properties of this group as a code, in particular determining completely the
probabilities of successful and ambiguous decoding of words with more than 3 errors (which is the number that can be guaranteed to be corrected).
Mathematics Subject Classification:
Primary: 94B60; Secondary: 20D08, 94B2.
Robert F. Bailey, John N. Bray. Decoding the Mathieu group M12. Advances in Mathematics of Communications,
Laurent Di Menza, Virginie Joanne-Fabre.
An age group model for the study of a population of trees.
Discrete & Continuous Dynamical Systems - S,
Yu Zhou, Xinfeng Dong, Yongzhuang Wei, Fengrong Zhang.
A note on the Signal-to-noise ratio of $ (n, m) $-functions.
Advances in Mathematics of Communications,