engleski

Codes from M11

M11 is the smallest of five sporadic simple Mathieu groups and it can be represented as primitive permutation group on 11, 12, 55, 66 and 165 points. Using orbits of a point stabilizer acting on the set of points as a basic block of a design, we can obtain designs, and from them codes, invariant under the action of M11. We will present 1-designs and codes obtained from M11 on 55, 66 and 165 points, and some of their properties.

code, design

nije evidentirano