This is the 298th most frequent Vietnamese word.
ký
The Vietnamese word "ký" can mean "sign" (as in to sign a document) or "note" (as in to record), depending on context.
Here, 'ký' means 'to sign', referring to executing a signature on a document.
Tôi đã ký hợp đồng mới hôm qua.
I signed a new contract yesterday.
In this instance, 'ký' is part of 'ký ức', which means 'memory', showing its use in a compound word.
Ký ức của tôi về ngày hôm đó rất rõ ràng.
My memory of that day is very clear.
Here, 'ký' as part of 'ký tên' means 'to sign one's name', again attaching to authority or identity verification.