The Enforcement Rules of the Ship Registration Law Article 27

In case of loss of a ship, which had been leased or mortgaged jointly with some other ship before loss, the cause and date of loss shall be recorded in the corresponding column of such other ship's register book.As the case mentioned in the previous paragraph, if the port of registry of such other ship is under the jurisdiction of another Shipping Administration Authority, such authority shall be notified of making such registration mentioned above.
中文原文 船舶登記法施行細則第27條
滅失船舶,在滅失前曾與他船舶共同為租賃或抵押者,應於他船舶登記簿相當事項欄內,記明滅失原因及年月日。
前項情形,他船舶船籍港屬於他航政機關管轄時,應即通知該航政機關為前項之登記。

English translation for reference only; the Chinese text prevails. Not legal advice.