People cant connect to my server without being disconnected

I've seen similar reports to this, but they were all about people not being able to connect to any servers. This bug seems to be just with people connecting to mine.

People log on, and after a couple of minutes are disconnected, with the following in their Console:

Client> java.net.SocketException: Software caused connection abort: recv failed
Client>  at java.net.SocketInputStream.socketRead0(Native Method)
Client>  at java.net.SocketInputStream.read(Unknown Source)
Client>  at java.net.SocketInputStream.read(Unknown Source)
Client>  at java.io.FilterInputStream.read(Unknown Source)
Client>  at org.bouncycastle.crypto.io.CipherInputStream.nextChunk(Unknown Source)
Client>  at org.bouncycastle.crypto.io.CipherInputStream.read(Unknown Source)
Client>  at java.io.DataInputStream.readUnsignedByte(Unknown Source)
Client>  at ex.a(SourceFile:178)
Client>  at cn.i(SourceFile:249)
Client>  at cn.c(SourceFile:17)
Client>  at co.run(SourceFile:94)

In the server log, all I see is the contents of server.log, which I've attached.
What's interesting is that there's an end of stream whenever someone looks at or refreshes their server list.

I should also mention that occasionally the server log would say "Reached end of stream for (ip)" before people got disconnected.

I've ran my server for a long time, and now it's become useless because of this. Please do whatever you can to fix it. Thank you.

I've now added a more detailed log from when the issue started happening.