presented by dr steve babbage 25 march 2009
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Some maths from the telecommunications industry

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Presented by Dr Steve Babbage 25 March 2009. Some maths from the telecommunications industry. Purpose of this presentation. To illustrate some industrial applications that require and inspire mathematical research Optimisation Data security And underpinning both of those: Complexity.

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Presentation Transcript
purpose of this presentation
CMS / EPSRC – Steve BabbagePurpose of this presentation

To illustrate some industrial applications that require and inspire mathematical research

Optimisation

Data security

And underpinning both of those:

Complexity

optimisation
Optimisation

CMS / EPSRC – Steve Babbage

cryptography and data security
Cryptography and data security

CMS / EPSRC – Steve Babbage

block ciphers and stream ciphers
CMS / EPSRC – Steve BabbageBlock ciphers and stream ciphers

Plaintext (any length)

Plaintext (128 bits)

101011011101001110 ...

Key (128 bits)

Key (128 bits)

011101110100101101 ...

=

Ciphertext (128 bits)

Ciphertext

110110101001100011 ...

Key (128 bits)

Key

011101110100101101 ...

=

Plaintext

101011011101001110 ...

Plaintext

digital signature
CMS / EPSRC – Steve BabbageDigital signature

Hash function

This is an extremely long document which could go on for pages and pages and pages and pages and pages and pages and pages and pages and pages and pages and pages and pages and pages and pages and pages and pages and pages and pages and pages and pages

Steve Babbage

5A90CB3820FB2744E11C49572C0D3919

theory and lack of theory
CMS / EPSRC – Steve BabbageTheory – and lack of theory

Block ciphers

Linear cryptanalysis

Differential cryptanalysis

Hash functions

???

  • Public key algorithms
  • Factoring
  • Discrete logarithm
  • Elliptic curve
  • Others
  • Symmetric ciphers
  • Algebraic cryptanalysis
    • Gröbner bases
  • Quantum computers
  • What can they do?
  • What can\'t they do?

Lots of insight still needed

slide21
CMS / EPSRC – Steve Babbage

Thanks to:

Terry Lyons – Oxford / WIMCS

Bart Preneel – Leuven

Robert Leese – Oxford / Smith Institute

Peter Grindrod – Reading

John McWhirter – Cardiff

Thank you

  • Further input taken from:
  • Zuse Institute Berlin
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