Designs and binary codes from maximal subgroups and conjugacy classes of the Mathieu group M11.

Autor: AMERY, GARETH, GOMANI, STUART, RODRIGUES, BERNARDO GABRIEL
Předmět:
Zdroj: Mathematical Communications; 2021, Vol. 26 Issue 2, p159-175, 17p
Abstrakt: By using a method of constructing block-primitive and point-transitive 1-designs, in this paper we determine all block-primitive and point-transitive X)- designs from the maximal subgroups and the conjugacy classes of elements of the small Mathieu group M11. We examine the properties of l-(t>, k, A)-designs and construct the codes defined by the binary row span of the incidence matrices of the designs. Furthermore, we present a number of interesting A-divisible binary codes invariant under M11. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index