Re: Concerning Cryptography
From: Walter Roberson (roberson@ibd.nrc.ca)Date: 01/24/02
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From: roberson@ibd.nrc.ca (Walter Roberson) Date: 24 Jan 2002 20:46:46 GMT
In article <f16f0b2a.0201231752.43e08d8e@posting.google.com>,
Peanut Butter <ISBN0111110@aol.com> wrote:
:I was wondering if someone could tell me all of the fields of
:mathematics incloved with cryptography so I can read up on those
:fields. Thank You.
Not really. Cryptography is a pretty big topic, and people keep
finding new ways of applying mathematics in order to impliment new
cryptography schemes or break old schemes.
Someone suggested you start with Discrete Mathematics. I would
disagree: I think you should start *way* before that. In particular,
I think you would not be able to understand Cryptography properly until
you understand these (and more!):
 elementary matrix operations  matrix multiply, matrix inversions,
solutions to simultaneous linear equations
 elementary set theory
 basic function theory. Composition of functions
 The Counting Argument
 basic probability and statistics theory  conditional probabilities,
mean, standard deviation
 integration and differentiation (otherwise you won't be able to do
proper density functions for the statistics)
 introductory graph theory
 basic linguistic analysis
 modular arithmetic
 basic group and field theory
 introductory theory of computation. Turing machines. Finite Automata,
Finite state machines
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