Moori, JamshidSaeidi, Amin2018-07-272018-07-272017Moori, J. & Saeidi, A. 2017. Some designs and codes invariant under the tits Group. Advances in Mathematics of Communications, 11(1):77-82. [http://dx.doi.org/10.3934/amc.2017003]1930-53461930-5338 (Online)http://dx.doi.org/10.3934/amc.2017003http://hdl.handle.net/10394/30396In this paper, we construct some designs and associated binary codes from a primitive permutation representation of degree 1755 of the sporadic simple Tits group 2F4(2)′. In particular, we construct a binary code [1755,26,1024]2 on which 2F4(2)′ acts irreducibly. This is the smallest non-trivial irreducible GF(2)-module for our group.enTits groupsymmetric designsprimitive permutation representationslinear codesirreducible G-modulesArticle