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I am looking for a square matrix whose determinant is 0, however, all sub-minors of this matrix are non singular. This matrix needs to have applications in Cryptography. The matrix may be over any Galois field of type 2^r. Please provide an example and references. Thank you.

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    $\begingroup$ Can you share the reason for this rather specific question? $\endgroup$
    – poncho
    Commented Mar 18 at 1:56
  • $\begingroup$ @poncho We are looking for non-MDS matrices with real life applications in Cryptography. Thanks. $\endgroup$
    – Kurious Koder
    Commented Mar 19 at 12:48

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