DEETER I use a strop as my primary sharpening method.Once a blade is sharpened by stone or file the edge can be taken up a notch by stropping and easily maintained.
A leather strop can be used dry or with a compound. Compound such as aluminum oxide can speed up the process.
http://vintagearcheryco.com/shop/index.php?main_page=product_info&cPath=7&products_id=16 There are more advantages of using a compound then making the stropping process faster
.When stropping you are polishing the blade. Polishing does remove metal which eventually builds up on the strop nullifying the benefits. Using a powder compound particularly if it is white like aluminum oxide give you a idea when the strop should be cleaned .The white powder turns dark gray indicating you should dump or clean the strop . knocking the strop on a bench will dump the compound with metal residue .
I prefer a powder compound over a paste as it allow easy cleaning of the strop . Paste holds the metal residue however I use both.
LB hntr is correct about using cardboard.
Another suggestion is a paint mixing stick (wood) which can be obtained in the paint department of wal-mart or a hardware store free .
The mixing stick can be used with or without compound
An old leather belt can be used as other discarded leather. A section of a wide belt can be mounted on a board and is very handy.
There are good arguments for using the smooth side of leather or the rough side…I prefer the rough when using a compound and the smooth with out compound.