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Arithmetic Conditions for the Invertibility of Circulant Matrices over Finite Fields

Choi, Jeong-Ok et al.
arXiv (All) · Papers
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combinatorics
This paper investigates arithmetic conditions, over finite fields, for the invertibility of circulant matrices whose first row is $(a_0,\ldots,a_{n-1})$, in terms of linear constraints on the entries $a_0,\ldots,a_{n-1}$. The coefficients of such linear constraints are determined by field traces ari
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