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From: Neil Brown <neilb@suse.de>
To: David Lang <david.lang@digitalinsight.com>
Cc: "Theodore Tso" <tytso@mit.edu>,
	"Jörn Engel" <joern@lazybastard.org>,
	"H. Peter Anvin" <hpa@zytor.com>,
	"Christoph Hellwig" <hch@infradead.org>,
	"Ulrich Drepper" <drepper@gmail.com>,
	"Linux Kernel Mailing List" <linux-kernel@vger.kernel.org>
Subject: Re: If not readdir() then what?
Date: Thu, 12 Apr 2007 10:00:30 +1000	[thread overview]
Message-ID: <17949.30366.645476.893772@notabene.brown> (raw)
In-Reply-To: message from David Lang on Wednesday April 11

On Wednesday April 11, david.lang@digitalinsight.com wrote:
> On Thu, 12 Apr 2007, Neil Brown wrote:
> 
> > For the second.
> >  You say that you " would need at least 96 bits in order to make that
> >  guarantee; 64 bits of hash, plus a 32-bit count value in the hash
> >  collision chain".  I think 96 is a bit greedy.  Surely 48 bits of
> >  hash and 16 bits of collision-chain-position would plenty.  You would
> >  need 65537 entries before a collision was even possible, and
> >  billions before it was at all likely. (How big does a set of 48bit
> >  numbers have to get before the probability that "No subset of 65536
> >  numbers are all the same" drops below 0.95?)
> 
> Neil,
>    you can get a hash collision with two entries.

You need at least 65537 entries before there is any possibility of
collision between two
   "48-bit-hash ++ 16-bit-sequence-number"
objects where the 16-bit-sequence-number is chosen to be different from all
other 16 bit sequence numbers combined with the same 48 bit hash.

NeilBrown

  parent reply	other threads:[~2007-04-12  0:00 UTC|newest]

Thread overview: 65+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2007-04-07 16:57 Ulrich Drepper
2007-04-07 20:36 ` Theodore Tso
2007-04-07 23:30   ` Christoph Hellwig
2007-04-08 18:11     ` H. Peter Anvin
2007-04-08 18:41       ` Jörn Engel
2007-04-08 19:19         ` Theodore Tso
2007-04-08 19:26           ` Ulrich Drepper
2007-04-08 19:28           ` H. Peter Anvin
2007-04-08 19:40             ` Ulrich Drepper
2007-04-09  1:44             ` Theodore Tso
2007-04-09 11:09               ` Jörn Engel
2007-04-09 12:29                 ` Trond Myklebust
2007-04-09 12:31                 ` Trond Myklebust
2007-04-09 13:19                   ` Theodore Tso
2007-04-09 14:03                     ` Trond Myklebust
2007-04-09 16:34                       ` Jan Engelhardt
2007-04-09 17:00                         ` Trond Myklebust
2007-04-10 13:56                       ` Theodore Tso
2007-04-10 14:10                         ` Ulrich Drepper
2007-04-10 15:48                           ` H. Peter Anvin
2007-04-10 16:42                             ` Ulrich Drepper
2007-04-10 14:37                         ` Trond Myklebust
2007-04-10 15:54                           ` Jan Engelhardt
2007-04-10 16:18                             ` H. Peter Anvin
2007-04-10 16:25                             ` Valdis.Kletnieks
2007-04-10 21:12                           ` Neil Brown
2007-04-10 21:16                             ` H. Peter Anvin
2007-04-10 21:43                               ` Neil Brown
2007-04-10 21:18                             ` Trond Myklebust
2007-04-10 21:37                               ` Neil Brown
2007-04-10 21:57                                 ` Bob Copeland
2007-04-10 21:59                                 ` Trond Myklebust
2007-04-10 22:33                                   ` Neil Brown
2007-04-11  0:22                                     ` Trond Myklebust
2007-04-11  1:45                                       ` Bernd Eckenfels
2007-04-10 21:46                             ` Alan Cox
2007-04-10 21:26                     ` Neil Brown
2007-04-09 12:46                 ` Andreas Schwab
2007-04-10 21:15         ` Neil Brown
2007-04-11 13:57           ` Jan Engelhardt
2007-04-11 14:42           ` Theodore Tso
2007-04-11 22:32             ` Neil Brown
2007-04-11 22:06               ` David Lang
2007-04-11 23:23                 ` H. Peter Anvin
2007-04-11 23:33                   ` Jörn Engel
2007-04-12  0:00                 ` Neil Brown [this message]
2007-04-11 23:22               ` Theodore Tso
2007-04-12  1:46                 ` Neil Brown
2007-04-12  2:37                   ` Jörn Engel
2007-04-12  5:57                     ` Neil Brown
2007-04-12  9:33                       ` Jörn Engel
2007-04-12 12:21                       ` Theodore Tso
2007-04-12 17:18                         ` J. Bruce Fields
2007-04-12 17:35                           ` H. Peter Anvin
2007-04-16  3:05                             ` Theodore Tso
2007-04-16  5:47                               ` Neil Brown
2007-04-16 10:39                                 ` Theodore Tso
2007-04-16  6:18                         ` Neil Brown
2007-04-16 11:07                           ` Theodore Tso
2007-04-16 23:24                             ` Neil Brown
2007-04-08 18:47       ` Theodore Tso
2007-04-08 19:13         ` H. Peter Anvin
2007-04-08 18:50     ` Ulrich Drepper
2007-04-07 23:44   ` Jan Engelhardt
2007-04-08 20:36   ` J. Bruce Fields

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