Group Factorizations and Information Theory

@article{Tamm2007GroupFA,
  title={Group Factorizations and Information Theory},
  author={Ulrich Tamm},
  journal={2007 Information Theory and Applications Workshop},
  year={2007},
  pages={384-387}
}
  • U. Tamm
  • Published 22 October 2007
  • Computer Science
  • 2007 Information Theory and Applications Workshop
A factorization of a group G is a collection of subsets (A<sub>1</sub>, A<sub>2</sub>,...,A<sub>r</sub>) such that every element g isin G has a unique representation g =a<sub>1</sub>ldr a<sub>2</sub>ldr...ldra<sub>r</sub> where a<sub>1</sub> isin A<sub>i</sub> for i = 1,..., r. We shall survey several applications of group factorizations in information theory. They occur in the analysis of syndromes of integer codes, several graphs with large girth important for LDPC codes can be constructed… 
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Some Results in Group-Based Cryptography
TLDR
This thesis adds to the cryptanalytic literature by demonstrating the insecurity of several group-based cryptosystems by cryptanalyse several key establishment protocols based on matrix groups.

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