N.Y. Jud. Law § 34
Whenever in this chapter provision is made for the apportionment among counties of salaries or compensation paid by the state in the first instance, such apportionment shall also include expenses attributable to such salaries or compensation, including but not limited to: contributions to the New York state employees' retirement system, including a proportionate part of the administrative expense thereof; the employer's share of the premium for the coverage of the officers or employees receiving such salaries or compensation under the health insurance plan created by article eleven of the civil service law, and a proportionate share of the expenses of the administration of such plan; and contributions to the social security contribution fund; provided, however, that in the case of any such expenses attributable to the salaries or compensation of justices and official referees of the supreme court, there shall be apportioned among the counties of any judicial district or judicial department only a portion of such expenses bearing the same relation to the total thereof as the amount of such salaries or compensation apportioned among such counties bears to the total of the salaries or compensation payable to such justices and official referees of the supreme court.
The amounts of salaries, compensation and such expenses to be apportioned among the counties of any judicial district or judicial department shall be certified to the department of taxation and finance by the comptroller not later than the first day of July in each year.
N.Y. Jud. Law § 34