Using the method for constructing binary self-dual codes with an automorphismof order square of a prime number we have classified all binary self-dual codeswith length 76 having minimum distance $d=14$ and automorphism of order 9. Upto equivalence, there are six self-dual $[76, 38, 14]$ codes with anautomorphism of type $9$-$(8,0,4)$. All codes obtained have new values of theparameter in their weight enumerator thus more than doubling the number ofknown values.
展开▼
机译：使用构造质数阶自平方同位二进制自对偶码的方法，我们对长度为76，最小距离为$ d = 14 $且自同构为9的所有二进制自对偶码进行了分类。到目前为止，有六个具有对等类型$ 9 $-$（8,0,4）$的自对偶$ [76，38，14] $代码。所获得的所有代码在其权重枚举器中均具有新的参数值，从而使已知值的数量增加了一倍以上。
展开▼
