# 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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