Re: Triangulation Cryptography - Statistical Cryptanalysis Attack.

From	wizzofozz <oxxxxxxxxxxxs@gmail.com>
Newsgroups	sci.crypt
Subject	Re: Triangulation Cryptography - Statistical Cryptanalysis Attack.
Date	2021-09-17 22:47 +0200
Organization	A noiseless patient Spider
Message-ID	<si2uts$v95$1@dont-email.me> (permalink)
References	(4 earlier) <9e90a0c8-df42-4883-b2a4-9ddd0199f70cn@googlegroups.com> <si2lv0$kr0$1@gioia.aioe.org> <22751d32-7d5e-43ce-9060-6b0fa3ba4bbdn@googlegroups.com> <si2nut$1i95$1@gioia.aioe.org> <15d4e9a7-59f7-47ea-9840-aa266dc7f781n@googlegroups.com>

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Op 17-9-2021 om 21:09 schreef austin obyrne:
>>>
> This is beyond argument - it is a standard result => n places can be filled in n! ways - I've been using this on trust for many years
> 

Max and Richard already answered this, but you can experiment with small 
numbers.
According to you, 1 place can be filled in 1! (=1) ways.
But when using digits, I can fill it in 10 ways, namely 0,1,2,3,4, .. ,9.
If I use hexdigits, I can fill it in 16 ways: 0,1,2,3,..,9,a,b,..,f.

According to you, 2 places can be filled 2! (=2) ways.
But when using digits, I can fill it in 100 ways, namely 00,01,02,03,04, 
..,10,11,12, .. ,99.
If I use hexdigits, I can fill it in 256 ways: 
00,01,02,03,..,09,0a,0b,..,0f,10,11,..,1a,..,1f,..,ff.

So, the number of ways you can fill n places is not only dependent on 
how many places you have to fill, but also the number of symbols you can 
use to fill them with.
So, if you have n places and m items, then
with repetition: m**n
without repetition: m!/(m-n)!

As an example for the "without repetition" formula as, with say 10 
digits and 3 places to fill,
10*9*8 == 10*9*8*7*6*5*4*3*2*1/7*6*5*4*3*2*1 == 10!/7! == 10!/(10-3)!

If the order doesn't matter you can divide once more by 3! (because you 
have that many orderings of the 3 choosen items) in the above example, 
so m!/(n!(m-n)!).

Ozz

Thread

Triangulation Cryptography  - Statistical Cryptanalysis Attack. austin obyrne <ao402468@gmail.com> - 2021-09-17 09:07 -0700
  Re: Triangulation Cryptography  - Statistical Cryptanalysis Attack. Leo <usenet@gkbrk.com> - 2021-09-17 16:17 +0000
    Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Richard Heathfield <rjh@cpax.org.uk> - 2021-09-17 17:34 +0100
      Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. MM <mrvmurray@gmail.com> - 2021-09-18 02:28 -0700
    Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. austin obyrne <ao402468@gmail.com> - 2021-09-17 09:36 -0700
      Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. MM <mrvmurray@gmail.com> - 2021-09-18 09:14 -0700
      Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. 711 Spooky Mart <711@spooky.mart> - 2021-09-24 15:14 -0500
        Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Rich <rich@example.invalid> - 2021-09-24 21:57 +0000
  Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Richard Heathfield <rjh@cpax.org.uk> - 2021-09-17 17:23 +0100
  Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Max <maxturv26@gmx.net> - 2021-09-17 18:44 +0200
    Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. austin obyrne <ao402468@gmail.com> - 2021-09-17 10:11 -0700
      Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Max <maxturv26@gmx.net> - 2021-09-17 19:32 +0200
        Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Richard Heathfield <rjh@cpax.org.uk> - 2021-09-17 18:43 +0100
        Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. austin obyrne <ao402468@gmail.com> - 2021-09-17 11:04 -0700
          Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Max <maxturv26@gmx.net> - 2021-09-17 20:14 +0200
            Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. austin obyrne <ao402468@gmail.com> - 2021-09-17 11:35 -0700
              Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Max <maxturv26@gmx.net> - 2021-09-17 20:49 +0200
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. austin obyrne <ao402468@gmail.com> - 2021-09-17 12:09 -0700
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Max <maxturv26@gmx.net> - 2021-09-17 21:30 +0200
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-09-17 13:39 -0700
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Max <maxturv26@gmx.net> - 2021-09-17 22:44 +0200
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-09-17 13:55 -0700
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. 711 Spooky Mart <711@spooky.mart> - 2021-09-24 15:33 -0500
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Richard Heathfield <rjh@cpax.org.uk> - 2021-09-17 20:42 +0100
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Max <maxturv26@gmx.net> - 2021-09-17 22:25 +0200
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. wizzofozz <oxxxxxxxxxxxs@gmail.com> - 2021-09-17 22:56 +0200
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Max <maxturv26@gmx.net> - 2021-09-17 23:11 +0200
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. wizzofozz <oxxxxxxxxxxxs@gmail.com> - 2021-09-17 23:53 +0200
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Max <maxturv26@gmx.net> - 2021-09-18 00:16 +0200
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. austin obyrne <ao402468@gmail.com> - 2021-09-18 00:12 -0700
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. MM <mrvmurray@gmail.com> - 2021-09-18 01:56 -0700
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Richard Heathfield <rjh@cpax.org.uk> - 2021-09-18 10:09 +0100
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. MM <mrvmurray@gmail.com> - 2021-09-18 02:25 -0700
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Rich <rich@example.invalid> - 2021-09-17 20:57 +0000
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. wizzofozz <oxxxxxxxxxxxs@gmail.com> - 2021-09-17 23:03 +0200
                Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. wizzofozz <oxxxxxxxxxxxs@gmail.com> - 2021-09-17 22:47 +0200
            Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Rich <rich@example.invalid> - 2021-09-17 20:54 +0000
        Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. austin obyrne <ao402468@gmail.com> - 2021-09-17 11:23 -0700
        Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Rich <rich@example.invalid> - 2021-09-17 20:50 +0000
    Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Rich <rich@example.invalid> - 2021-09-17 20:46 +0000
      Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-09-17 13:56 -0700
  Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. MM <mrvmurray@gmail.com> - 2021-09-18 02:41 -0700
    Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Richard Heathfield <rjh@cpax.org.uk> - 2021-09-18 10:55 +0100
      Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. MM <mrvmurray@gmail.com> - 2021-09-18 03:34 -0700
        Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Rich <rich@example.invalid> - 2021-09-18 12:26 +0000
          Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Richard Heathfield <rjh@cpax.org.uk> - 2021-09-18 14:02 +0100
            Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. MM <mrvmurray@gmail.com> - 2021-09-18 06:17 -0700
              Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Richard Heathfield <rjh@cpax.org.uk> - 2021-09-18 14:28 +0100
              Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Richard Heathfield <rjh@cpax.org.uk> - 2021-09-18 14:51 +0100
              Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Rich <rich@example.invalid> - 2021-09-18 16:20 +0000
            Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Rich <rich@example.invalid> - 2021-09-18 16:18 +0000
  Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. MM <mrvmurray@gmail.com> - 2021-09-18 06:24 -0700
    Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Richard Heathfield <rjh@cpax.org.uk> - 2021-09-18 14:31 +0100
      Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. MM <mrvmurray@gmail.com> - 2021-09-18 06:44 -0700
        Re: Triangulation Cryptography - Statistical Cryptanalysis Attack. Richard Heathfield <rjh@cpax.org.uk> - 2021-09-18 15:20 +0100

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