On rank properties of Toeplitz matrices over finite fields

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Abstract

Out of all the n×n Toeplitz matrices over a finite field of q elements, a fraction of exactly (1-1/q) is non-singular. Also a fraction of exactly (1/q)(1-1/q)2(1-(q-1)/q2)r-1 has generic rank 0

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APA

Kaltofen, E., & Lobo, A. (1996). On rank properties of Toeplitz matrices over finite fields. In Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC (pp. 241–249). ACM. https://doi.org/10.1145/236869.237081

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