It seems that the Google Webmaster Central team is indulged in a test that is related to a new verification process for Webmaster Tools.
A Google Groups thread, Phil Payne is noted stating the following files:
66.249.71.119 – - [11/Sep/2008:10:17:09 +0100] "GET / google38b4a154a92b0b4f.html HTTP/1.1" 200 – "-" "Mozilla/5.0 (compatible; Googlebot/2.1; +http://www.google.com/bot.html)"
66.249.71.119 – - [11/Sep/2008:10:17:09 +0100] "GET /fdfdkll.html HTTP/
1.1" 404 – "-" "Mozilla/5.0 (compatible; Googlebot/2.1; +http://www.google.com/bot.html)"
“I would normally expect to see a GET for no_exist following a GET for
the verification file. What is Google playing at?
I'm tempted to put a "Yah, boo, sucks!" file up and see what happens.†he further added.
Googler, JohnMu, said that this is related to Google testing a new verification process:
The accesses of "/fdfdkll.html" were made by an experimental new system that is set to complement / replace the existing Webmaster Tools verification system. In the future, the requests should change to the more common "/noexist(…)" that we're used to. I'm glad to see that progress is being made on the verification system 
, thanks for bringing it up!
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