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- W2100733529 abstract "Let T be a skew-symmetric Toeplitz matrix with entries in a finite field. For all positive integers n let Tn be the upper n×n corner of T, with nullity νn=ν(Tn). The sequence {νn:n∈N} satisfies a unimodality property and is eventually periodic if the entries of T satisfy a periodicity condition. We compute the maximum value and the period of the nullity sequence for Toeplitz matrices of finite bandwidth. This sequence satisfies a certain symmetry condition about its maximal values. These results apply to give some information about the ranks of general skew-symmetric Toeplitz matrices with eventually periodic entries." @default.
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- W2100733529 date "1999-06-01" @default.
- W2100733529 modified "2023-09-27" @default.
- W2100733529 title "On the ranks of Toeplitz matrices over finite fields" @default.
- W2100733529 doi "https://doi.org/10.1016/s0024-3795(99)00052-x" @default.
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