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How can representation theory be used in cryptography and/or coding theory?

I am studying a MSc in pure mathematics and I am currently working on things related to biset functors, but cryptography and coding theory are some of my interest areas. I know that classical representation theory (complex character theory) can be applied in group codes, but I haven't found anything related to biset functors, Burnside rings or modular representation theory.

Does anyone know if these techniques can be useful in theoretical cryptography or in coding theory?

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  • $\begingroup$ does the answer address your question? if not why? $\endgroup$
    – kodlu
    Jul 24, 2021 at 23:39

1 Answer 1

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In “Alternating Product Ciphers: A Case for Provable Security Comparisons” by J. Pliam https://arxiv.org/abs/1307.4107

some representation theory is used. Here is a snippet of the Proof of Theorem 1

enter image description here

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