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On the Rank of the Matrix f(A) and the Enumeration of Certain Matrices over a Finite Field

โœ Scribed by Daykin, D. E.

Book ID
120097984
Publisher
Oxford University Press
Year
1960
Tongue
English
Weight
180 KB
Volume
s1-35
Category
Article
ISSN
0024-6107

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๐Ÿ“œ SIMILAR VOLUMES

On the ranks of Toeplitz matrices over f
On the ranks of Toeplitz matrices over finite fields
โœ Geoffrey L. Price; Glenn H. Truitt ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 220 KB

Let T be a skew-symmetric Toeplitz matrix with entries in a ยฎnite ยฎeld. For all positive integers n let n be the upper n ร‚ n corner of T, with nullity m n m n . The sequence fm n X n P Ng satisยฎes a unimodality property and is eventually periodic if the entries of T satisfy a periodicity condition.