Embedding Partial Extended Triple Systems when \(\lambda \geq 2\)

In this paper, it is shown that any partial extended triple system of order \(n\) and index \(\lambda \geq 2\) can be embedded in an extended triple system of order \(v\) and index \(\lambda\) for all even \(v \geq 4n + 6\). This extends results known when \(\lambda = 1\).