Pablo,
ASTM D2602 is the old name for the ASTM D5293 test protocol - they are exactly the same test....
The standard, CCS test temps did change, when the "SAE J-300" standard was revised (in June of 2001, as I recall). At that time, the standard test temps for all SAE grades was lowered by 5C, and the max viscosity allowable changed from 3500 Cp in most cases to 6200-7000 Cp, depending on SAE grade. For example, max allowable for 0w-xx oils is 6200 Cp @ -35C ...for 10w-xx oils is 7000 Cp @ -25C.
Oil specs are jointly developed by a group composed of the API, the SAE and the ASTM.
API = American Petroleum Institute
SAE = Society of Automotive Engineers
ASTM = American Society for Testing and Materials
ACEA = Euro version of API (formerly CCMC)
DIN = Euro version of ASTM