On primes dividing the group order of a doubly-even (72, 36, 16) code and the group order of a quaternary (24, 12, 10) code

https://doi.org/10.1016/0012-365X(82)90284-9Get rights and content
Under an Elsevier user license
open archive

Abstract

This paper finds all the odd primes p which can divide the order of the group of an extremal doubly-even (72, 36, 16) code (if one exists) and an extremal quaternary (24, 12, 10) code (if one exists). Information is given about the cycle structure of the element of order p which could aid in the construction of these codes. A number of new techniques are given for determining if an element of odd prime order can be in the group of a code.

Cited by (0)

The work of these authors was supported in part by National Science Foundation Grant No. MCS 7603143. The first author wishes to thank the University of Illinois at Chicago Circle for its hospitality while this work was in progress.