The DICOM standard (PS 3.5 section 7.5.2) does not recommend either method over the other:
The encoder of a Sequence of Items may choose either one of the two ways of encoding.
Both ways of encoding shall be supported by decoders of the Sequence of Items.
I don't know if one method is more popular, in my experience both methods are very common.
Explicit length results in a slightly more compact file, but undefined length allows for sequences whose length is greater than the 32-bit limit imposed by the explicit length. In this regard, undefined length encoding is more robust.
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