LNMSHASHTBL

   LNMSHASHTBL sets the size of the system logical name hash table.
   Logical names are hashed using a function of the name length
   and contents. The LNMSHASHTBL parameter determines the number
   of entries for shareable logical names. These names include all
   names from the system, group, and job logical name tables. The
   recommended setting allows one to four logical names per hash
   table entry. The default setting is usually adequate, unless
   your installation has a large number of groups, or many jobs are
   active simultaneously. In that case, an increase in the value of
   the next higher power of 2 might improve logical name translation
   performance. Note that the hashed values are rounded up to the
   nearest power of 2.

   LNMSHASHTBL has the AUTOGEN, FEEDBACK, and GEN attributes.