California Code, Government Code - GOV § 31764.5

(a) At retirement, a member who elects an optional settlement pursuant to Section 31762, 31763, or 31764 may elect to reduce his or her allowance to provide that if the named beneficiary predeceases the member, the member's allowance shall be adjusted to the amount he or she would have been entitled to receive at retirement if his or her benefit had not been modified by an optional settlement, adjusted by any cost-of-living increases that would have been added to the monthly allowance.  The adjusted allowance shall be effective on the first day of the month following the month in which notification of the beneficiary's death is received by the board.

(b) This section may not become operative if, in the opinion of the retirement board and the actuary, the allowances payable under this section would place an additional financial burden on the retirement system.

(c) This section may not become operative until the board of supervisors elects, by resolution adopted by a majority vote, to make this section operative in the county.