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Communication Dans Un Congrès Année : 2017

About Circulant Involutory MDS Matrices

Résumé

We give a new algebraic proof of the non-existence of circulant involutory MDS matrices with coefficients in fields of even characteristic. For odd characteristics we give parameters for the potential existence. If we relax circulancy to θ-circulancy, then there is no restriction to the existence of θ-circulant involutory MDS matrices even for fields of even characteristic. Finally, we relax further the involutory definition and propose a new direct construction of almost involutory θ-circulant MDS matrices. We show that they can be interesting in hardware implementations.
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Dates et versions

hal-01673463 , version 1 (29-12-2017)

Identifiants

  • HAL Id : hal-01673463 , version 1

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Victor Cauchois, Pierre Loidreau. About Circulant Involutory MDS Matrices. International Workshop on Coding and Cryptography, Sep 2017, Saint-Pétersbourg, Russia. ⟨hal-01673463⟩
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