Methods and apparatus for splitting Golay sequences into a plurality of subsets of sequence elements and transmitting the subsets are described. Lubricating oil concentrates and compositions containing the highly grafted, functionalized olefin polymer and uses thereof also are provided. Different materials are substituted for these materials. A fin is provided in the scrolled air passage as a directing member for directing a secondary flow in a direction parallel to a direction of a primary flow discharging from the centrifugal fan. Thus, the message reception apparatus does not need to hold the message before the authentication key is published.