A streaming file is constructed with a file header section that includes a file header object, a media data file descriptor, and an index descriptor. A hinting index section includes a first level hinting index with a linear organization corresponding to timing tick key values. A second level hinting index has a non-sequential organization corresponding to such timing tick key values. A special mark in the second level hinting index indicates that the first level hinting index must be consulted for a next timing tick key value. Such mark is positioned in the last of a sequential run of timing tick key values associated with its entries. A data section that can be put in a separate file, and it accepts media data blocks associated in sequential runs of timing tick key values as its entries. Thus hinting is provided for a non-sequential media data file.