“据以取名的”可以翻译为 “the basis for naming” 或 “the reason/factor for choosing the name” ，具体使用可根据语境调整。例如：
This feature served as the basis for naming this product.（这一特性是给这款产品取名的依据。）
The cultural significance was the reason for choosing the name for this festival.（文化意义是给这个节日取名的原因 。）