Direct constructions for recursive and non-recursive NMDS matrices and non-recursive MDS matrices from generalized Vandermonde matrices are given, along with involutory variants and proofs of NMDS folklore results.
Factorization of determinants over finite fields and applica tion in stream ciphers
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On the Direct Construction of MDS and Near-MDS Matrices
Direct constructions for recursive and non-recursive NMDS matrices and non-recursive MDS matrices from generalized Vandermonde matrices are given, along with involutory variants and proofs of NMDS folklore results.