Types Of ASICS
ASICs and ASSPs are based on the same design processes and manufacturing technologies. Both are custom-designed to address a specific application, the only difference being that an ASIC is designed and built to order for use by a specific company, while an ASSP is marketed to multiple customers.
Added after 5 minutes:
ASIC is designed to address a specific application. It is similar to an ASSP, except that an ASIC is designed and built to order for use by a specific company.
ASSP (application-specific standard part) is a custom-built integrated circuit (IC) designed to address a specific application, too. Similar to an application-specific integrated
circuit (ASIC), except that an ASSP is marketed to
multiple customers for inclusion in their products.
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This was excerpt from: "The Design Warrior's Guide to FPGAs", Clive "Max" Maxfield, 2004. Here is the link: